×
Edit Profile (opens in new tab)

Sobolevskii, Pavel Evseyevich (b. 1930 d. 2018)

Co-Author Distance
Author ID: sobolevskii.pavel-e Recent zbMATH articles by "Sobolevskii, Pavel Evseyevich"
Published as: Sobolevskij, P. E.; Sobolevskii, P. E.; Sobolevskiĭ, P. E.; Sobolevskii, Pavel E.; Sobolevskii, P.; Sobolevskij, Pavel E.; Sobolevskij, Pavel Evseyevich; Sobolevskiĭ, Pavel E.; Sobolevskii, Pavel; Sobolevskij, Pavel; Sobolevskĭ, P. E.; Sobolevskij, P.
Further Spellings: Соболевский Павел Евсеевич
External Links: MGP · Google Scholar · Math-Net.Ru
Documents Indexed: 222 Publications since 1956, including 4 Books
Co-Authors: 50 Co-Authors with 139 Joint Publications
768 Co-Co-Authors
all top 5

Co-Authors

79 single-authored
20 Ashyralyev, Allaberen
11 Orlov, Vladimir P.
8 Anosov, V. P.
8 Pogorelenko, V. A.
7 Gershtein, L. M.
7 Krasnosel’skiĭ, Mark Aleksandrovich
7 Zagorodnikov, Yu. I.
6 Alibekov, Kh. A.
6 Raskin, V. G.
6 Sil’chenko, Yuriĭ Tikhonovich
5 Agranovich, Yuri Ya.
4 Shteĭnvil’, È. A.
4 Smagin, Viktor Vasil’evich
3 Evzerov, I. D.
3 Kreĭn, Selim Grigor’evich
3 Polichka, A. E.
3 Smirnitskiĭ, Yu. A.
3 Titenskij, M. N.
2 Gurova, I. N.
2 Judakova, Gozel
2 Khoang Van Laj
2 Lezhenina, I. F.
2 Matskewich, Tanya
2 Primakova, S. I.
2 Pustyl’nik, Eh. I.
2 Semenov, S. M.
2 Sobolevsky, Marina
2 Yasakov, A. I.
2 Zabreĭko, Pëtr Petrovich
1 Ando, Tsuyoshi
1 Birbrair, Lev
1 Chebotareva, L. M.
1 Chebotarova, L. M.
1 Erdogan, Abdullah Said
1 Hanalyev, Asker
1 Hoang Van Lai
1 Karatay, İbrahim
1 Khoang, Van Laj
1 Kresin, Gershon I.
1 Laj, Khoang Van
1 Mamedov, Yahya D.
1 Maz’ya, Vladimir Gilelevich
1 Merzbach, Ely
1 Nashed, M. Zuhair
1 Nguen Nang An
1 Policka, A. E.
1 Prössdorf, Siegfried
1 Shaposhnikova, Tatyana Olegovna
1 Sobolevskiĭ, E. P.
1 Solomyak, Mikhaĭl Zakharovich
1 Sozen, Yasar
all top 5

Serials

35 Soviet Mathematics. Doklady
18 Differential Equations
17 Differentsial’nye Uravneniya
13 Doklady Akademii Nauk SSSR
9 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
9 Ukrainian Mathematical Journal
9 Functional Differential Equations
7 Ukraïns’kyĭ Matematychnyĭ Zhurnal
6 Siberian Mathematical Journal
6 Abstract and Applied Analysis
5 Sibirskiĭ Matematicheskiĭ Zhurnal
5 Nonlinear Analysis. Theory, Methods & Applications
4 Mathematical Notes
4 Matematicheskie Zametki
4 Discrete Dynamics in Nature and Society
3 Differential and Integral Equations
3 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR
3 Izvestiya Akademii Nauk Turkmenskoĭ SSR. Seriya Fiziko-Tekhnicheskikh, Khimicheskikh i Geologicheskikh Nauk
2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
2 Journal of Mathematical Analysis and Applications
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 U.S.S.R. Computational Mathematics and Mathematical Physics
2 Vychislitel’nye Sistemy
2 Translations. Series 2. American Mathematical Society
2 Operator Theory: Advances and Applications
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Integral Equations and Operator Theory
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Semigroup Forum
1 Transactions of the Moscow Mathematical Society
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
1 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
1 Litovskiĭ Matematicheskiĭ Sbornik
1 Soviet Physics. Doklady
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki
1 Nonlinear Boundary Value Problems
1 Dopovidi Akademiï Nauk Ukraïns’koï RSR
1 Differentsial’nye Uravneniya i ikh Primenenie
1 Monographs and Textbooks on Mechanics of Solids and Fluids, Mechanics: Analysis
all top 5

Fields

104 Partial differential equations (35-XX)
52 Ordinary differential equations (34-XX)
46 Operator theory (47-XX)
46 Numerical analysis (65-XX)
20 Fluid mechanics (76-XX)
19 Functional analysis (46-XX)
13 Difference and functional equations (39-XX)
7 Mechanics of deformable solids (74-XX)
5 Real functions (26-XX)
4 Integral equations (45-XX)
3 Approximations and expansions (41-XX)
2 History and biography (01-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Global analysis, analysis on manifolds (58-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

114 Publications have been cited 1,308 times in 958 Documents Cited by ▼ Year ▼
Integral operators in spaces of summable functions. Translated by T. Ando. Zbl 0312.47041
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustylnik, E. I.; Sobolevskiĭ, P. E.
197
1976
Integral operators in spaces of summable functions. (Интегральные операторы в пространствах суммируемых функций.) Zbl 0145.39703
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustyl’nik, E. I.; Sobolevskiĭ, P. E.
156
1966
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
104
2004
Equations of parabolic gype in a Banach space. Zbl 0178.50301
Sobolevskij, P. E.
71
1966
The best possible constant in generalized Hardy’s inequality for convex domain in \(\mathbb{R}^ n\). Zbl 0876.46025
Matskewich, Tanya; Sobolevskii, Pavel E.
66
1997
On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E.
57
2004
Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob. Zbl 0803.65089
Ashyralev, Allaberen; Sobolevskij, Pavel E.
46
1994
Coerciveness inequalities for abstract parabolic equations. Zbl 0149.36001
Sobolevskij, P. E.
42
1964
On mathematical models of a viscoelasticity with a memory. Zbl 0732.73022
Orlov, V. P.; Sobolevskii, P. E.
36
1991
A note on the difference schemes for hyperbolic equations. Zbl 1007.65064
Ashyralyev, A.; Sobolevskii, P. E.
33
2001
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
27
2005
Motion of nonlinear visco-elastic fluid. Zbl 0949.76006
Agranovich, Yuri Ya.; Sobolevskii, Pavel E.
26
1998
Fractional powers of coercively positive sums of operators. Zbl 0333.47010
Sobolevskii, P. E.
26
1975
Über Gleichungen parabolischen Typs im Banachraum. Zbl 0141.32701
Sobolevskij, P. E.
26
1961
Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027
Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E.
19
2001
On coercive solvability of difference equations. Zbl 0246.39002
Sobolevskii, P. E.
18
1971
Well-posedness of difference elliptic equation. Zbl 0928.39002
Sobolevskii, Pavel E.
16
1997
On equations with operators forming an acute angle. Zbl 0081.11802
Sobolevskij, P. E.
15
1957
Fractional powers of operators acting in Banach spaces. Zbl 0090.09102
Krasnosel’skij, M. A.; Sobolevskij, P. E.
12
1959
On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
11
2004
Investigation of the mathematical model of viscoelastic fluid. Zbl 0696.76011
Agranovich, Yu. Ya.; Sobolevskij, P. E.
10
1989
Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063
Ashyralyev, A.; Sobolevskij, P. E.
10
1988
The positivity of difference operators. Zbl 0516.47019
Sobolevskiĭ, P. E.; Smirnitskiĭ, Yu. A.
10
1981
Asymptotics of stable viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0844.76005
Sobolevskij, P. E.
9
1996
Stabilization of viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0809.35087
Sobolevskij, P. E.
9
1994
Parabolic equations in Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition. Zbl 0104.09303
Sobolevskij, P. E.
9
1961
The sharp constant in Hardy’s inequality for complement of bounded domain. Zbl 0930.26009
Matskewich, T.; Sobolevskii, P. E.
8
1998
On the stability of the linear delay differential and difference equations. Zbl 1002.65098
Ashyralyev, A.; Sobolevskii, P. E.
8
2001
A new method of summation of Fourier series converging in \(C\)-norm. Zbl 1096.47045
Sobolevskii, Pavel
8
2005
A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
8
2006
Non-stationary equations of viscous fluid dynamics. Zbl 0092.43104
Sobolevskij, P. E.
8
1959
Über elliptische Gleichungen im Banachraum. Zbl 0165.49404
Sobolevskij, P. E.
8
1968
Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047
Ashyralyev, Allaberen; Sobolevskij, Pavel Evseyevich
7
1995
Fractional powers of ordinary differential operators. Zbl 0316.34014
Evzerov, I. D.; Sobolevskii, P. E.
7
1974
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085
Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E.
7
2006
Study of Navier-Stokes equations by the methods of the theory of parabolic equations in Banach spaces. Zbl 0201.18301
Sobolevskij, P. E.
7
1964
Approximative Lösung durch das Geradenverfahren des Cauchyproblems für eine abstrakte hyperbolische Gleichung. Zbl 0397.34081
Sobolevskij, P. E.; Chebotarova, L. M.
7
1977
On semigroups of growth \(\alpha\). Zbl 0241.47030
Sobolevskii, P. E.
6
1971
Parabolic differential equations in a Banach space. Zbl 0278.34054
Sobolevskii, P. E.
6
1970
Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038
Ashyralyev, A. O.; Sobolevskij, P. E.
6
1984
On the smoothness of generalized solutions of the Navier-Stokes equations. Zbl 0105.38904
Sobolevskij, P. E.
6
1960
Über die Lösbarkeit gemischter Probleme für homogene quasilineare hyperbolische Gleichungen. Zbl 0191.11501
Sobolevskij, P. E.; Pogorelenko, V. A.
6
1970
On differential equations with unlimited operators in Banach spaces. Zbl 0073.10401
Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E.
6
1956
On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054
Ashyralyev, A.; Sobolevskii, P. E.
5
2003
Über die Methode von Rothe zur genäherten Lösung des Cauchyproblems für Differentialgleichungen im Banachraum mit einem variablen unbeschränkten Operator. Zbl 0349.34047
Polichka, A. E.; Sobolevskij, P. E.
5
1976
A note on the parabolic differential and difference equations. Zbl 1153.35353
Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E.
4
2007
Investigation of mathematical models of multidimensional viscoelastic media. Zbl 0716.73032
Orlov, V. P.; Sobolevskij, P. E.
4
1989
Über Stabilität und Konvergenz von Differenzenschemata hoher Ordnung bei der Approximation für parabolische Gleichungen. Zbl 0424.65045
Alibekov, Kh. A.; Sobolevskij, P. E.
4
1979
Estimates of the Green function for second-order parabolic partial differential equations. Zbl 0102.09102
Sobolevskij, P. E.
4
1961
On generating operators of semigroups. Zbl 0117.34301
Maz’ya, V. G.; Sobolevskiĭ, P. E.
4
1962
On degenerate parabolic operators. Zbl 0263.34064
Sobolevskii, P. E.
3
1971
Focal decompositions for linear differential equations of the second order. Zbl 1080.34513
Birbrair, L.; Sobolevsky, M.; Sobolevskii, P.
3
2003
On the smoothness of generalized solutions for the equations of motion of an almost Newtonian fluid. Zbl 0587.76008
Orlov, V. P.; Sobolevskij, P. E.
3
1985
Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity. Zbl 0611.34054
Sil’chenko, Yu. T.; Sobolevskij, P. E.
3
1986
Hyperbolische Gleichungen im Hilbertraum. Zbl 0147.35104
Sobolevskij, P. E.; Pogorelenko, V. A.
3
1967
Local and nonlocal existence theorems for nonlinear second-order parabolic equations. Zbl 0196.40301
Sobolevskij, P. E.
3
1961
On differential equations with unbounded operators in Hilbert space. Zbl 0078.29702
Krasnosel’skij, M. A.; Krejn, S. G.; Sobolevskij, P. E.
3
1957
Differential equation with abstract elliptical operator in Hilbert space. Zbl 0082.11702
Krejn, S. G.; Sobolevskij, P. E.
3
1958
First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain. Zbl 0086.32101
Sobolevskij, P. E.
3
1958
The “counter-example” to W. Littman counter-example of \(L_p\)-energetical inequality for wave equation. Zbl 0927.35056
Pogorelenko, V.; Sobolevskii, P.
2
1997
The theorem on mixed derivatives and the estimate of the convergence rate of the Galerkin method for parabolic equations (the third initial boundary value problem). Zbl 0866.35048
Sobolevskii, P.
2
1995
On the two-step high order of accuracy difference schemes for second order differential equations. Zbl 1069.65090
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2
2004
Über einige Differenzenmethoden zur Näherungslösung instationärer Navier-Stokesscher Gleichungen. Zbl 0352.35073
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
2
1977
Solvability of longitudinal oscillations of a viscoelastic one-dimensional continuum. Zbl 0682.35064
Orlov, V. P.; Sobolevskij, P. E.
2
1988
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. Zbl 0303.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
2
1974
Embedding theorems for fractional norms generated by an elliptic operator. Zbl 0309.47034
Smirnickii, Ju. A.; Sobolevskii, P. E.
2
1974
Resolvente und gebrochene Potenzen gewöhnlicher Differentialoperatoren in Räumen glatter Funktionen. Zbl 0333.47020
Evzerov, I. D.; Sobolevskii, P. E.
2
1976
Gebrochene Potenzen koerzitiv positiver Summen von Operatoren. Zbl 0354.47006
Sobolevskii, P. E.
2
1977
The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. Zbl 0702.35070
Lezhenina, I. F.; Sobolevskij, P. E.
2
1989
Some improvements of Hölder results. Zbl 1132.26344
Sobolevskii, M.; Sobolevskii, P.
2
2007
Second-order differential equations in Banach space. Zbl 0149.35902
Sobolevskij, P. E.
2
1962
On elliptic equations in Banach space. Zbl 0235.34126
Sobolevskiĭ, P. E.
2
1972
On the stability of difference schemes for parabolic equations. Zbl 0416.65063
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1977
Über Stabilität und Konvergenz von Differenzenschemata höherer Approximationsordnung für parabolische partielle Differentialgleichungen. Zbl 0445.65105
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1980
Fractional powers of weakly positive operators. Zbl 0184.35701
Sobolevskij, P. E.
2
1966
Well-posedness of difference elliptic equation. Zbl 0904.39007
Sobolevskii, Pavel E.
1
1996
On coercive solvability of parabolic equations. Zbl 0244.35054
Anosov, V. P.; Sobolevskii, P. E.
1
1972
Investigation of weak solutions of the Oldroyd model for viscoelastic fluid. Zbl 0816.76006
Agranovich, Yu. Ya.; Sobolevskij, P. E.
1
1991
The motion of a nonlinear viscoelastic fluid. Zbl 0738.76001
Agranovich, Yu. Ya.; Sobolevskij, P. E.
1
1990
Dependence of fractional powers of elliptic operators on boundary conditions. Zbl 0794.35041
Sobolevskij, Pavel E.
1
1992
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II. Zbl 0317.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
1
1975
New \(L_p\) estimates for parabolic difference problems. Zbl 0359.35068
Policka, A. E.; Sobolevskii, P. E.
1
1976
On the application of the method of fractional powers of operators to the study of a two-dimensional difference system for the Navier-Stokes equations. Zbl 0368.35050
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
1
1976
On a method for the construction and investigation of schemes of Padé class. Zbl 0511.65069
Alibekov, Kh. A.; Sobolevskij, P.
1
1982
On the Crank-Nicolson difference scheme for parabolic equations. Zbl 0545.65072
Sobolevskiĭ, P. E.
1
1978
Coercive estimates of accuracy of the Euler method for parabolic equations with variable operators. Zbl 0728.65054
Smagin, V. V.; Sobolevskij, P. E.
1
1989
Über die koerzitive Lösbarkeit von Differenzengleichungen vierter Ordnung. Zbl 0291.39004
Primakova, S. I.; Sobolevskii, P. E.
1
1974
Correct solvability of an extended boundary-value problem for a parabolic equation. Zbl 0321.35044
Sobolevskiĭ, P. E.; Shteĭnvil’, È. A.
1
1976
On the resolvent of a degenerate operator in Banach space. Zbl 0329.34052
Orlov, V. P.; Sobolevskii, P. E.
1
1975
Existence of solutions of a mathematical model of a nonlinearly viscous fluid. Zbl 0616.35073
Sobolevskij, P. E.
1
1985
Imbedding theorems for elliptic and parabolic operators in C. Zbl 0701.46017
Sobolevskij, P. E.
1
1989
Koerzitive Lösbarkeit des Randwertproblems für eine elliptische Gleichung zweiter Ordnung im Banachraum. II. Zbl 0246.35031
Anosov, V. P.; Sobolevskii, P. E.
1
1971
Generalized solutions of the first order differential equations in Hilbert space. Zbl 0088.33303
Sobolevskij, P. E.
1
1958
Elliptic and parabolic operators in the space C. Zbl 0705.35036
Sobolevskij, P. E.
1
1989
Correct solvability of the Crank-Nicolson difference scheme for parabolic equations. Zbl 0532.65071
Ashyralyev, A. O.; Sobolevskij, P. E.
1
1981
L-characteristics of fractional powers of difference operators. Zbl 0449.47026
Gurova, I. N.; Sobolevskij, P. E.
1
1979
Difference schemes of optimal type for the approximate solution of parabolic equations. Zbl 0467.65037
Sobolevskij, P. E.; Khoang Van Laj
1
1981
On the well-posed solvability of parabolic difference equations in Bochner spaces. Zbl 0464.65025
Polichka, A. E.; Sobolevskij, P. E.
1
1978
Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Zbl 0484.65033
Sobolevskij, P. E.; Laj, Khoang Van
1
1981
Green’s functions for arbitrary (in particular, integral) powers of elliptic integrals. Zbl 0149.35901
Sobolevskij, P. E.
1
1962
A note on the parabolic differential and difference equations. Zbl 1153.35353
Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E.
4
2007
Some improvements of Hölder results. Zbl 1132.26344
Sobolevskii, M.; Sobolevskii, P.
2
2007
A note on the difference schemes for hyperbolic-elliptic equations. Zbl 1133.65058
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
8
2006
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Zbl 1102.65085
Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E.
7
2006
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
27
2005
A new method of summation of Fourier series converging in \(C\)-norm. Zbl 1096.47045
Sobolevskii, Pavel
8
2005
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
104
2004
On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E.
57
2004
On difference schemes for hyperbolic-elliptic equations. Zbl 1354.65212
Ashyralyev, A.; Judakova, G.; Sobolevskii, P. E.
11
2004
On the two-step high order of accuracy difference schemes for second order differential equations. Zbl 1069.65090
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2
2004
On the two new approaches for construction of the high order of accuracy difference schemes for the second order differential equations. Zbl 1053.65054
Ashyralyev, A.; Sobolevskii, P. E.
5
2003
Focal decompositions for linear differential equations of the second order. Zbl 1080.34513
Birbrair, L.; Sobolevsky, M.; Sobolevskii, P.
3
2003
A note on the difference schemes for hyperbolic equations. Zbl 1007.65064
Ashyralyev, A.; Sobolevskii, P. E.
33
2001
Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Zbl 0996.35027
Ashyralyev, A.; Hanalyev, A.; Sobolevskii, P. E.
19
2001
On the stability of the linear delay differential and difference equations. Zbl 1002.65098
Ashyralyev, A.; Sobolevskii, P. E.
8
2001
Motion of nonlinear visco-elastic fluid. Zbl 0949.76006
Agranovich, Yuri Ya.; Sobolevskii, Pavel E.
26
1998
The sharp constant in Hardy’s inequality for complement of bounded domain. Zbl 0930.26009
Matskewich, T.; Sobolevskii, P. E.
8
1998
The best possible constant in generalized Hardy’s inequality for convex domain in \(\mathbb{R}^ n\). Zbl 0876.46025
Matskewich, Tanya; Sobolevskii, Pavel E.
66
1997
Well-posedness of difference elliptic equation. Zbl 0928.39002
Sobolevskii, Pavel E.
16
1997
The “counter-example” to W. Littman counter-example of \(L_p\)-energetical inequality for wave equation. Zbl 0927.35056
Pogorelenko, V.; Sobolevskii, P.
2
1997
Asymptotics of stable viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0844.76005
Sobolevskij, P. E.
9
1996
Well-posedness of difference elliptic equation. Zbl 0904.39007
Sobolevskii, Pavel E.
1
1996
Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Zbl 0818.65047
Ashyralyev, Allaberen; Sobolevskij, Pavel Evseyevich
7
1995
The theorem on mixed derivatives and the estimate of the convergence rate of the Galerkin method for parabolic equations (the third initial boundary value problem). Zbl 0866.35048
Sobolevskii, P.
2
1995
Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob. Zbl 0803.65089
Ashyralev, Allaberen; Sobolevskij, Pavel E.
46
1994
Stabilization of viscoelastic fluid motion (Oldroyd’s mathematical model). Zbl 0809.35087
Sobolevskij, P. E.
9
1994
Dependence of fractional powers of elliptic operators on boundary conditions. Zbl 0794.35041
Sobolevskij, Pavel E.
1
1992
On mathematical models of a viscoelasticity with a memory. Zbl 0732.73022
Orlov, V. P.; Sobolevskii, P. E.
36
1991
Investigation of weak solutions of the Oldroyd model for viscoelastic fluid. Zbl 0816.76006
Agranovich, Yu. Ya.; Sobolevskij, P. E.
1
1991
The motion of a nonlinear viscoelastic fluid. Zbl 0738.76001
Agranovich, Yu. Ya.; Sobolevskij, P. E.
1
1990
Investigation of the mathematical model of viscoelastic fluid. Zbl 0696.76011
Agranovich, Yu. Ya.; Sobolevskij, P. E.
10
1989
Investigation of mathematical models of multidimensional viscoelastic media. Zbl 0716.73032
Orlov, V. P.; Sobolevskij, P. E.
4
1989
The elliptic and parabolic boundary value problems with a singular estimate of the coefficient. Zbl 0702.35070
Lezhenina, I. F.; Sobolevskij, P. E.
2
1989
Coercive estimates of accuracy of the Euler method for parabolic equations with variable operators. Zbl 0728.65054
Smagin, V. V.; Sobolevskij, P. E.
1
1989
Imbedding theorems for elliptic and parabolic operators in C. Zbl 0701.46017
Sobolevskij, P. E.
1
1989
Elliptic and parabolic operators in the space C. Zbl 0705.35036
Sobolevskij, P. E.
1
1989
Difference schemes of high order accuracy for parabolic equations with variable coefficients. Zbl 0652.65063
Ashyralyev, A.; Sobolevskij, P. E.
10
1988
Solvability of longitudinal oscillations of a viscoelastic one-dimensional continuum. Zbl 0682.35064
Orlov, V. P.; Sobolevskij, P. E.
2
1988
Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity. Zbl 0611.34054
Sil’chenko, Yu. T.; Sobolevskij, P. E.
3
1986
On the smoothness of generalized solutions for the equations of motion of an almost Newtonian fluid. Zbl 0587.76008
Orlov, V. P.; Sobolevskij, P. E.
3
1985
Existence of solutions of a mathematical model of a nonlinearly viscous fluid. Zbl 0616.35073
Sobolevskij, P. E.
1
1985
Interpolation theory of linear operators and stability of difference schemes. Zbl 0598.65038
Ashyralyev, A. O.; Sobolevskij, P. E.
6
1984
On a method for the construction and investigation of schemes of Padé class. Zbl 0511.65069
Alibekov, Kh. A.; Sobolevskij, P.
1
1982
The positivity of difference operators. Zbl 0516.47019
Sobolevskiĭ, P. E.; Smirnitskiĭ, Yu. A.
10
1981
Correct solvability of the Crank-Nicolson difference scheme for parabolic equations. Zbl 0532.65071
Ashyralyev, A. O.; Sobolevskij, P. E.
1
1981
Difference schemes of optimal type for the approximate solution of parabolic equations. Zbl 0467.65037
Sobolevskij, P. E.; Khoang Van Laj
1
1981
Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Zbl 0484.65033
Sobolevskij, P. E.; Laj, Khoang Van
1
1981
Über Stabilität und Konvergenz von Differenzenschemata höherer Approximationsordnung für parabolische partielle Differentialgleichungen. Zbl 0445.65105
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1980
Stability and convergence of difference schemes of a high order of approximation for parabolic equations. Zbl 0433.65045
Alibekov, Kh. A.; Sobolevskij, P. E.
1
1980
Über Stabilität und Konvergenz von Differenzenschemata hoher Ordnung bei der Approximation für parabolische Gleichungen. Zbl 0424.65045
Alibekov, Kh. A.; Sobolevskij, P. E.
4
1979
L-characteristics of fractional powers of difference operators. Zbl 0449.47026
Gurova, I. N.; Sobolevskij, P. E.
1
1979
L-Charakteristiken gebrochener Potenzen von Differenzenoperatoren. Zbl 0402.47014
Gurova, I. N.; Sobolevskii, P. E.
1
1979
On the Crank-Nicolson difference scheme for parabolic equations. Zbl 0545.65072
Sobolevskiĭ, P. E.
1
1978
On the well-posed solvability of parabolic difference equations in Bochner spaces. Zbl 0464.65025
Polichka, A. E.; Sobolevskij, P. E.
1
1978
Approximative Lösung durch das Geradenverfahren des Cauchyproblems für eine abstrakte hyperbolische Gleichung. Zbl 0397.34081
Sobolevskij, P. E.; Chebotarova, L. M.
7
1977
Über einige Differenzenmethoden zur Näherungslösung instationärer Navier-Stokesscher Gleichungen. Zbl 0352.35073
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
2
1977
Gebrochene Potenzen koerzitiv positiver Summen von Operatoren. Zbl 0354.47006
Sobolevskii, P. E.
2
1977
On the stability of difference schemes for parabolic equations. Zbl 0416.65063
Alibekov, Kh. A.; Sobolevskij, P. E.
2
1977
Integral operators in spaces of summable functions. Translated by T. Ando. Zbl 0312.47041
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustylnik, E. I.; Sobolevskiĭ, P. E.
197
1976
Über die Methode von Rothe zur genäherten Lösung des Cauchyproblems für Differentialgleichungen im Banachraum mit einem variablen unbeschränkten Operator. Zbl 0349.34047
Polichka, A. E.; Sobolevskij, P. E.
5
1976
Resolvente und gebrochene Potenzen gewöhnlicher Differentialoperatoren in Räumen glatter Funktionen. Zbl 0333.47020
Evzerov, I. D.; Sobolevskii, P. E.
2
1976
New \(L_p\) estimates for parabolic difference problems. Zbl 0359.35068
Policka, A. E.; Sobolevskii, P. E.
1
1976
On the application of the method of fractional powers of operators to the study of a two-dimensional difference system for the Navier-Stokes equations. Zbl 0368.35050
Zagorodnikov, Ju. I.; Sobolevskii, P. E.
1
1976
Correct solvability of an extended boundary-value problem for a parabolic equation. Zbl 0321.35044
Sobolevskiĭ, P. E.; Shteĭnvil’, È. A.
1
1976
Fractional powers of coercively positive sums of operators. Zbl 0333.47010
Sobolevskii, P. E.
26
1975
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. II. Zbl 0317.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
1
1975
On the resolvent of a degenerate operator in Banach space. Zbl 0329.34052
Orlov, V. P.; Sobolevskii, P. E.
1
1975
Fractional powers of ordinary differential operators. Zbl 0316.34014
Evzerov, I. D.; Sobolevskii, P. E.
7
1974
Coercive solvability of general boundary value problems for second order elliptic differential equations in a Banach space. Zbl 0303.34048
Gershteĭn, L. M.; Sobolevskiĭ, P. E.
2
1974
Embedding theorems for fractional norms generated by an elliptic operator. Zbl 0309.47034
Smirnickii, Ju. A.; Sobolevskii, P. E.
2
1974
Über die koerzitive Lösbarkeit von Differenzengleichungen vierter Ordnung. Zbl 0291.39004
Primakova, S. I.; Sobolevskii, P. E.
1
1974
On elliptic equations in Banach space. Zbl 0235.34126
Sobolevskiĭ, P. E.
2
1972
On coercive solvability of parabolic equations. Zbl 0244.35054
Anosov, V. P.; Sobolevskii, P. E.
1
1972
On coercive solvability of difference equations. Zbl 0246.39002
Sobolevskii, P. E.
18
1971
On semigroups of growth \(\alpha\). Zbl 0241.47030
Sobolevskii, P. E.
6
1971
On degenerate parabolic operators. Zbl 0263.34064
Sobolevskii, P. E.
3
1971
Koerzitive Lösbarkeit des Randwertproblems für eine elliptische Gleichung zweiter Ordnung im Banachraum. II. Zbl 0246.35031
Anosov, V. P.; Sobolevskii, P. E.
1
1971
Coercive solvability of a boundary-value problem for a second-order elliptic equation in Banach space. I. Zbl 0229.35026
Anosov, V. P.; Sobolevskij, P. E.
1
1971
Parabolic differential equations in a Banach space. Zbl 0278.34054
Sobolevskii, P. E.
6
1970
Über die Lösbarkeit gemischter Probleme für homogene quasilineare hyperbolische Gleichungen. Zbl 0191.11501
Sobolevskij, P. E.; Pogorelenko, V. A.
6
1970
Kongruenzsätze für die Normen der Lösungen linearer homogener Differentialgleichungen in Hilberträumen. Zbl 0216.11901
Smagin, V. V.; Sobolevskij, P. E.
1
1970
On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations. Zbl 0205.10201
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1970
On periodic solutions of hyperbolic equations. Zbl 0224.35052
Sobolevskij, P. E.; Pogorelenko, V. A.
1
1970
Über elliptische Gleichungen im Banachraum. Zbl 0165.49404
Sobolevskij, P. E.
8
1968
Differential equations with unbounded operators generating nonanalytic subgroups. Zbl 0195.43203
Sobolevskij, P. E.
1
1968
The Bubnov-Galerkin method for parabolic equations in Hilbert space. Zbl 0203.40402
Sobolevskij, P. E.
1
1968
The Cauchy problem for second order differential equations in Banach spaces. Zbl 0167.15103
Raskin, V. G.; Sobolevskij, P. E.
1
1968
Hyperbolische Gleichungen im Hilbertraum. Zbl 0147.35104
Sobolevskij, P. E.; Pogorelenko, V. A.
3
1967
Cauchysches Problem für Differentialgleichungen zweiter Ordnung in Banachräumen. Zbl 0147.35103
Raskin, V. G.; Sobolevskij, P. E.
1
1967
Integral operators in spaces of summable functions. (Интегральные операторы в пространствах суммируемых функций.) Zbl 0145.39703
Krasnosel’skiĭ, M. A.; Zabreĭko, P. P.; Pustyl’nik, E. I.; Sobolevskiĭ, P. E.
156
1966
Equations of parabolic gype in a Banach space. Zbl 0178.50301
Sobolevskij, P. E.
71
1966
Fractional powers of weakly positive operators. Zbl 0184.35701
Sobolevskij, P. E.
2
1966
General boundary value problems for parabolic equations investigated by the method of differential equations in Banach space. Zbl 0171.07904
Sobolevskij, P. E.
1
1966
On a theorem of E. Hille. Zbl 0144.17801
Mamedov, Ya. D.; Sobolevskij, P. E.
1
1966
Coerciveness inequalities for abstract parabolic equations. Zbl 0149.36001
Sobolevskij, P. E.
42
1964
Study of Navier-Stokes equations by the methods of the theory of parabolic equations in Banach spaces. Zbl 0201.18301
Sobolevskij, P. E.
7
1964
The use of fractional powers of operators in studying the Navier-Stokes equations. Zbl 0201.18204
Sobolevskij, P. E.
1
1964
On generating operators of semigroups. Zbl 0117.34301
Maz’ya, V. G.; Sobolevskiĭ, P. E.
4
1962
Second-order differential equations in Banach space. Zbl 0149.35902
Sobolevskij, P. E.
2
1962
Green’s functions for arbitrary (in particular, integral) powers of elliptic integrals. Zbl 0149.35901
Sobolevskij, P. E.
1
1962
...and 14 more Documents
all cited Publications top 5 cited Publications
all top 5

Cited by 986 Authors

110 Ashyralyev, Allaberen
29 Orlov, Vladimir P.
25 Zvyagin, Viktor Grigor’evich
22 Ashyralyyev, Charyyar
13 Pliev, Marat Amurkhanovich
13 Sobolevskii, Pavel Evseyevich
12 Banaś, Józef
11 Avkhadiev, Farit Gabidinovich
10 Ashyraliyev, Maksat
10 Zabreĭko, Pëtr Petrovich
9 Ağirseven, Deniz
9 Erdogan, Abdullah Said
9 Marcus, Moshe M.
9 Mizel, Victor J.
9 Nascimento, Marcelo Jose Dias
8 George, Santhosh
8 Kulikov, Dmitriĭ Anatol’evich
8 Piskarëv, S. I.
8 Sozen, Yasar
8 Vabishchevich, Pëtr Nikolaevich
8 Yildirim, Ozgur
7 Amann, Herbert
7 Ashurov, Ravshan Rajabovich
7 Khachatryan, Khachatur Aghavardovich
7 Koksal, Mehmet Emir
7 Levenshtam, Valeriĭ Borisovich
7 Zeghal, Ahmed
6 Appell, Jürgen
6 Dzhusoeva, Nonna Anatol’evna
6 Glushak, A. V.
6 He, Yinnian
6 Kamenskiĭ, Mikhaĭl Igor’evich
6 Latrach, Khalid
6 Nasibullin, Ramil Gaisa’evich
6 Rogava, Jemal L.
5 Akturk, Sema
5 Gutlyanskiĭ, Vladimir Ya.
5 Kalitvin, Anatolij S.
5 Korotkov, Vitalii Borisovich
5 Metwali, Mohamed M. A.
5 Ryazanov, Vladimir Il’ich
5 Shakhmurov, Veli B.
5 Väth, Martin
5 Vexler, Boris
4 Aggez, Necmettin
4 Ashyralyyeva, Maral Allaberenovna
4 Belakroum, Kheireddine
4 Belluzi, Maykel Boldrin
4 Bezerra, Flank David Morais
4 Biroud, Kheireddine
4 Caraballo Garrido, Tomás
4 Cuevas, Claudio
4 Dal, Fadime
4 El-Sayed, Ahmed Mohamed Ahmed
4 El-Sayed, Wagdy Gomaa
4 Fayziev, Yusuf Ergashevich
4 Fitzgibbon, William Edward
4 Fridman, Emilia
4 Fu, Xianlong
4 Gercek, Okan
4 Giga, Yoshikazu
4 Guo, Yingwen
4 Hamad, Ayman
4 Jidesh, P.
4 Kukushkin, Maksim Vladimirovich
4 Kulikov, Anatoliĭ Nikolaevich
4 Kundu, Sudeep
4 Lakeyev, Anatoliĭ Valentinovich
4 Leykekhman, Dmitriy
4 Lunardi, Alessandra
4 Mohan, Manil Thankamani
4 Ozturk, Elif
4 Pani, Amiya Kumar
4 Rusanov, Vyacheslav Anatolievich
4 Schiabel, Karina
4 Selitskii, Anton Mikhailovich
4 Semënov, Evgeniĭ Mikhaĭlovich
4 Turbin, Mikhail V.
4 Umarov, Khasan Galsanovich
4 Uzun, Meltem
4 Vinogradova, Polina V.
4 Wang, Kun
4 Zarubin, A. G.
4 Zvyagin, Andreĭ Viktorovich
3 Abasov, Nariman Magamedovich
3 Abdellaoui, Boumediene
3 Abylaeva, Akbota Muhamediyarovna
3 Acquistapace, Paolo
3 Aliev, Bahram A.
3 Alikulov, T. N.
3 Argyros, Ioannis Konstantinos
3 Barbatis, Gerassimos
3 Bonotto, Everaldo M.
3 Chill, Ralph
3 Cialdea, Alberto
3 Cichoń, Mieczysław
3 Cobos, Fernando
3 Darwish, Mohamed Abdalla
3 Djinja, Domingos
3 Erzakova, Nina A.
...and 886 more Authors
all top 5

Cited in 226 Serials

60 Journal of Mathematical Analysis and Applications
35 Journal of Mathematical Sciences (New York)
33 Nonlinear Analysis. Theory, Methods & Applications
31 Abstract and Applied Analysis
27 Journal of Functional Analysis
26 Differential Equations
24 Applied Mathematics and Computation
22 Journal of Differential Equations
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Russian Mathematics
19 Siberian Mathematical Journal
17 Mathematical Methods in the Applied Sciences
14 Mathematical Notes
14 Lobachevskii Journal of Mathematics
14 Boundary Value Problems
13 Journal of Evolution Equations
12 Computers & Mathematics with Applications
12 Numerical Functional Analysis and Optimization
12 Zeitschrift für Analysis und ihre Anwendungen
11 Israel Journal of Mathematics
11 Computational Mathematics and Mathematical Physics
10 Advances in Difference Equations
9 Ukrainian Mathematical Journal
9 Filomat
8 Transactions of the American Mathematical Society
8 Numerical Methods for Partial Differential Equations
8 Discrete Dynamics in Nature and Society
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Computational and Applied Mathematics
7 Mathematische Nachrichten
7 Rendiconti del Seminario Matematico della Università di Padova
7 Applied Numerical Mathematics
7 Fractional Calculus & Applied Analysis
6 Journal of Applied Mathematics and Mechanics
6 St. Petersburg Mathematical Journal
6 Izvestiya: Mathematics
6 Doklady Mathematics
6 Proceedings of the Steklov Institute of Mathematics
5 Automatica
5 Mathematische Zeitschrift
5 Numerische Mathematik
5 Journal of Integral Equations and Applications
5 Journal of Inverse and Ill-Posed Problems
5 Discrete and Continuous Dynamical Systems. Series B
4 Archive for Rational Mechanics and Analysis
4 Lithuanian Mathematical Journal
4 Advances in Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Applied Mathematics and Optimization
4 Czechoslovak Mathematical Journal
4 Functional Analysis and its Applications
4 Mathematical and Computer Modelling
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Mathematical Inequalities & Applications
4 Communications in Contemporary Mathematics
4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
4 Eurasian Mathematical Journal
3 Communications in Mathematical Physics
3 Inverse Problems
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Chaos, Solitons and Fractals
3 Mathematische Annalen
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 SIAM Journal on Control and Optimization
3 SIAM Journal on Numerical Analysis
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 Automation and Remote Control
3 International Journal of Computer Mathematics
3 Russian Journal of Mathematical Physics
3 Computational and Applied Mathematics
3 NoDEA. Nonlinear Differential Equations and Applications
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Discrete and Continuous Dynamical Systems
3 Mathematical Problems in Engineering
3 Journal of Inequalities and Applications
3 Journal of Mathematical Fluid Mechanics
3 Trudy Instituta Matematiki
3 Nonlinear Analysis. Real World Applications
3 Nonlinear Analysis. Modelling and Control
3 Computational Methods in Applied Mathematics
3 Journal of Applied Mathematics and Computing
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Journal of Fixed Point Theory and Applications
3 Ufimskiĭ Matematicheskiĭ Zhurnal
3 Evolution Equations and Control Theory
3 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
2 Applicable Analysis
2 International Journal of Engineering Science
2 Journal d’Analyse Mathématique
2 Journal of the Franklin Institute
2 Studia Mathematica
2 Archiv der Mathematik
2 BIT
2 Integral Equations and Operator Theory
2 Proceedings of the Japan Academy. Series A
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Tôhoku Mathematical Journal. Second Series
2 Systems & Control Letters
...and 126 more Serials
all top 5

Cited in 44 Fields

511 Partial differential equations (35-XX)
302 Operator theory (47-XX)
217 Numerical analysis (65-XX)
162 Ordinary differential equations (34-XX)
102 Functional analysis (46-XX)
94 Integral equations (45-XX)
94 Fluid mechanics (76-XX)
89 Real functions (26-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
31 Systems theory; control (93-XX)
29 Probability theory and stochastic processes (60-XX)
29 Mechanics of deformable solids (74-XX)
28 Difference and functional equations (39-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
17 Functions of a complex variable (30-XX)
17 Biology and other natural sciences (92-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 Potential theory (31-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Statistical mechanics, structure of matter (82-XX)
7 Approximations and expansions (41-XX)
6 Measure and integration (28-XX)
5 Integral transforms, operational calculus (44-XX)
5 Quantum theory (81-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Geophysics (86-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Statistics (62-XX)
3 Optics, electromagnetic theory (78-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Special functions (33-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year