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