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Murach, Aleksandr A.

Co-Author Distance
Author ID: murach.aleksandr-a Recent zbMATH articles by "Murach, Aleksandr A."
Published as: Murach, A. A.; Murach, Aleksandr A.; Murach, O. O.; Murach, Aleksandr
Homepage: https://www.imath.kiev.ua/people/profile.php?lang=en&pid=270
Documents Indexed: 80 Publications since 1994, including 2 Books and 8 Additional arXiv Preprints
Co-Authors: 16 Co-Authors with 70 Joint Publications
82 Co-Co-Authors
all top 5

Co-Authors

10 single-authored
38 Mykhaĭlets’, Volodymyr Andriĭovych
9 Chepurukhina, Iryna S.
9 Los, Valerii M.
6 Anop, A. V.
6 Zinchenko, Tetiana N.
5 Soldatov, Vitalii Oleksandrovych
3 Anop, Anna A.
3 Kasirenko, T. M.
2 Kasirenko, Tetiana
1 Denk, Robert
1 Gnyp, E. V.
1 Hnyp, Yevheniia
1 Los, V. N.
1 Novikov, Victor P.
1 Pelekhata, O. B.
1 Tsyhanok, Oksana
all top 5

Serials

15 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
12 Methods of Functional Analysis and Topology
10 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
9 Ukraïns’kyĭ Matematychnyĭ Zhurnal
8 Ukrainian Mathematical Journal
3 Communications on Pure and Applied Analysis
2 Results in Mathematics
1 Differential Equations
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Electronic Journal of Qualitative Theory of Differential Equations
1 Naukovyĭ Visnyk Chernivets’kogo Universytetu. Matematyka
1 De Gruyter Studies in Mathematics
1 Complex Analysis and Operator Theory
1 Banach Journal of Mathematical Analysis
1 Ukraïns’kyĭ Matematychnyĭ Visnyk
1 Open Mathematics
all top 5

Fields

58 Partial differential equations (35-XX)
54 Functional analysis (46-XX)
19 Operator theory (47-XX)
7 Ordinary differential equations (34-XX)
6 Global analysis, analysis on manifolds (58-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Probability theory and stochastic processes (60-XX)
2 Sequences, series, summability (40-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

48 Publications have been cited 341 times in 61 Documents Cited by ▼ Year ▼
Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev. Zbl 1455.46002
Mikhailets, Vladimir A.; Murach, Aleksandr A.
37
2014
The refined Sobolev scale, interpolation and elliptic problems. Zbl 1258.46014
Mikhailets, Vladimir A.; Murach, Aleksandr A.
25
2012
Regular elliptic boundary value problem for a homogeneous equation in a two-sided refined scale of spaces. Zbl 1150.35027
Mikhailets, V. A.; Murach, A. A.
23
2006
Refined scales of spaces and elliptic boundary value problems. III. Zbl 1142.35017
Mikhailets, V. A.; Murach, A. A.
18
2007
Interpolation with a function parameter and refined scale of spaces. Zbl 1164.46010
Mikhailets, Vladimir A.; Murach, Aleksandr A.
17
2008
Interpolation Hilbert spaces between Sobolev spaces. Zbl 1335.46030
Mikhailets, Vladimir A.; Murach, Aleksandr A.
15
2015
Refined scales of spaces and elliptic boundary value problems. II. Zbl 1104.46021
Mikhajlets, V. A.; Murach, A. A.
15
2006
Elliptic boundary-value problem in a two-sided improved scale of spaces. Zbl 1164.35027
Mikhajlets, V. A.; Murach, A. A.
13
2008
Extended Sobolev scale and elliptic operators. Zbl 1294.46036
Mikhailets, V. A.; Murach, A. A.
12
2013
Elliptic pseudo-differential operators in a refined scale of spaces on a closed manifold. Zbl 1150.35082
Murach, A. A.
12
2007
Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces. Zbl 1370.34036
Hnyp, Yevheniia; Mikhailets, Vladimir; Murach, Aleksandr
11
2017
Parabolic mixed problems in spaces of generalized smoothness. Zbl 1313.35065
Los, V. N.; Murach, A. A.
10
2014
Parabolic problems and interpolation with a function parameter. Zbl 1289.35147
Los, Valerii; Murach, Aleksandr A.
10
2013
Continuity in a parameter of solutions to generic boundary-value problems. Zbl 1389.34057
Mikhailets, Vladimir; Murach, Aleksandr; Soldatov, Vitalii
9
2016
An isomorphism theorem for parabolic problems in Hörmander spaces and its applications. Zbl 1361.35072
Los, Valerii; Mikhailets, Vladimir A.; Murach, Aleksandr A.
9
2017
Elliptic operators in a refined scale of function spaces. Zbl 1113.35056
Mikhailets, V. A.; Murach, A. A.
9
2005
Douglis-Nirenberg elliptic systems in Hörmander spaces. Zbl 1278.35081
Zinchenko, T. N.; Murach, A. A.
7
2013
Regular elliptic boundary-value problems in the extended Sobolev scale. Zbl 1311.35103
Anop, A. V.; Murach, A. A.
6
2014
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces. Zbl 1372.35132
Los, Valerii; Murach, Aleksandr
6
2017
On elliptic systems in Hörmander spaces. Zbl 1224.35101
Murach, A. A.
6
2009
Parameter-elliptic problems and interpolation with a function parameter. Zbl 1313.35092
Anop, Anna A.; Murach, Aleksandr A.
5
2014
Individual theorems on solvability of elliptic problems and Hörmander spaces. Zbl 1240.35138
Mikhailets, V. A.; Murach, A. A.
5
2011
Elliptic problems with rough boundary data in generalized Sobolev spaces. Zbl 1460.35116
Anop, Anna; Denk, Robert; Murach, Aleksandr
5
2021
Douglis-Nirenberg elliptic systems in the refined scale of spaces on a closed manifold. Zbl 1164.35031
Murach, Aleksandr A.
5
2008
On elliptic operators on a closed compact manifold. Zbl 1199.47203
Mikhailets, V. A.; Murach, A. A.
5
2009
Parameter-elliptic operators on the extended Sobolev scale. Zbl 1289.58011
Murach, Aleksandr A.; Zinchenko, Tetiana
4
2013
Parabolic problems in generalized Sobolev spaces. Zbl 1479.35516
Los, Valerii; Mikhailets, Vladimir; Murach, Aleksandr
4
2021
Hörmander spaces, interpolation, and elliptic problems. (Пространства Хермандера, интерполяция и ѐллиптические задачи.) Zbl 1240.35003
Mikhaĭlets, V. A.; Murach, A. A.
3
2010
Petrovskii elliptic systems in the extended Sobolev scale. Zbl 1303.35021
Zinchenko, Tetiana N.; Murach, Aleksandr A.
3
2014
On smoothness of solutions of mixed parabolic problems. Zbl 1289.35199
Los’, V. M.; Murach, O. O.
3
2013
General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on orthogonal series. Zbl 1249.42022
Mikhailets, Vladimir A.; Murach, A. A.
3
2011
Elliptic operator with homogeneous regular boundary conditions in a two-side refined scale of spaces. Zbl 1155.35333
Mikhailets, Vladimir A.; Murach, Aleksandr A.
3
2006
Refined scales of spaces and elliptic boundary-value problems. I. Zbl 1104.46010
Mikhajlets, V. A.; Murach, A. A.
3
2006
Extension of some Lions-Magenes theorems. Zbl 1199.35071
Murach, Aleksandr A.
3
2009
Irregular elliptic boundary-value problems and Hörmander spaces. Zbl 1418.35131
Anop, A. V.; Kasirenko, T. M.; Murach, O. O.
2
2018
A criterion for continuity in a parameter of solutions to general boundary value problems for higher-order differential systems. Zbl 1374.34045
Mikhailets, Vladimir; Murach, Aleksandr; Soldatov, Vitalii
2
2016
Elliptic systems of pseudodifferential equations in the refined scale on a closed manifold. Zbl 1172.35313
Mikhailets, Vladimir A.; Murach, Aleksandr A.
2
2008
Localization principles for Schrödinger operator with a singular matrix potential beam. Zbl 1399.34280
Mikhailets, Vladimir; Murach, Aleksandr; Novikov, Viktor
1
2017
Sobolev-like Hilbert spaces induced by elliptic operators. Zbl 1427.46025
Kasirenko, Tetiana; Mikhailets, Vladimir; Murach, Aleksandr
1
2019
Hörmander spaces on manifolds, and their application to elliptic boundary value problems. Zbl 1424.35149
Kasirenko, T. M.; Murach, A. A.; Chepurukhina, I. S.
1
2019
On the unconditional almost-everywhere convergence of general orthogonal series. Zbl 1263.40001
Mikhailets, V. A.; Murach, A. A.
1
2012
Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces. Zbl 1353.35154
Murach, A. A.; Chepurukhina, I. S.
1
2015
Elliptic problems in the sense of B. Lawruk on two-sided refined scales of spaces. Zbl 1340.35027
Chepurukhina, Iryna S.; Murach, Aleksandr A.
1
2015
To the theory of elliptic boundary value problems in Hörmander spaces. Zbl 1340.35024
Anop, A. V.; Murach, O. O.
1
2015
On criterion of continuous dependence on parameter of solutions of total boundary-value problems in Sobolev spaces. Zbl 1374.34044
Gnyp, E. V.; Mykhailets’, V. A.; Murach, O. O.
1
2016
Homogeneous elliptic equations in an extended Sobolev scale. Zbl 1399.35183
Anop, A. V.; Murach, O. O.
1
2018
Some semi-homogeneous elliptic boundary-value problem in complete extended Sobolev scale. Zbl 1374.35151
Anop, A. V.; Murach, O. O.
1
2016
Elliptic problems and Hörmander spaces. Zbl 1185.35063
Mikhailets, Vladimir A.; Murach, Aleksandr A.
1
2009
Elliptic problems with rough boundary data in generalized Sobolev spaces. Zbl 1460.35116
Anop, Anna; Denk, Robert; Murach, Aleksandr
5
2021
Parabolic problems in generalized Sobolev spaces. Zbl 1479.35516
Los, Valerii; Mikhailets, Vladimir; Murach, Aleksandr
4
2021
Sobolev-like Hilbert spaces induced by elliptic operators. Zbl 1427.46025
Kasirenko, Tetiana; Mikhailets, Vladimir; Murach, Aleksandr
1
2019
Hörmander spaces on manifolds, and their application to elliptic boundary value problems. Zbl 1424.35149
Kasirenko, T. M.; Murach, A. A.; Chepurukhina, I. S.
1
2019
Irregular elliptic boundary-value problems and Hörmander spaces. Zbl 1418.35131
Anop, A. V.; Kasirenko, T. M.; Murach, O. O.
2
2018
Homogeneous elliptic equations in an extended Sobolev scale. Zbl 1399.35183
Anop, A. V.; Murach, O. O.
1
2018
Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces. Zbl 1370.34036
Hnyp, Yevheniia; Mikhailets, Vladimir; Murach, Aleksandr
11
2017
An isomorphism theorem for parabolic problems in Hörmander spaces and its applications. Zbl 1361.35072
Los, Valerii; Mikhailets, Vladimir A.; Murach, Aleksandr A.
9
2017
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces. Zbl 1372.35132
Los, Valerii; Murach, Aleksandr
6
2017
Localization principles for Schrödinger operator with a singular matrix potential beam. Zbl 1399.34280
Mikhailets, Vladimir; Murach, Aleksandr; Novikov, Viktor
1
2017
Continuity in a parameter of solutions to generic boundary-value problems. Zbl 1389.34057
Mikhailets, Vladimir; Murach, Aleksandr; Soldatov, Vitalii
9
2016
A criterion for continuity in a parameter of solutions to general boundary value problems for higher-order differential systems. Zbl 1374.34045
Mikhailets, Vladimir; Murach, Aleksandr; Soldatov, Vitalii
2
2016
On criterion of continuous dependence on parameter of solutions of total boundary-value problems in Sobolev spaces. Zbl 1374.34044
Gnyp, E. V.; Mykhailets’, V. A.; Murach, O. O.
1
2016
Some semi-homogeneous elliptic boundary-value problem in complete extended Sobolev scale. Zbl 1374.35151
Anop, A. V.; Murach, O. O.
1
2016
Interpolation Hilbert spaces between Sobolev spaces. Zbl 1335.46030
Mikhailets, Vladimir A.; Murach, Aleksandr A.
15
2015
Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces. Zbl 1353.35154
Murach, A. A.; Chepurukhina, I. S.
1
2015
Elliptic problems in the sense of B. Lawruk on two-sided refined scales of spaces. Zbl 1340.35027
Chepurukhina, Iryna S.; Murach, Aleksandr A.
1
2015
To the theory of elliptic boundary value problems in Hörmander spaces. Zbl 1340.35024
Anop, A. V.; Murach, O. O.
1
2015
Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev. Zbl 1455.46002
Mikhailets, Vladimir A.; Murach, Aleksandr A.
37
2014
Parabolic mixed problems in spaces of generalized smoothness. Zbl 1313.35065
Los, V. N.; Murach, A. A.
10
2014
Regular elliptic boundary-value problems in the extended Sobolev scale. Zbl 1311.35103
Anop, A. V.; Murach, A. A.
6
2014
Parameter-elliptic problems and interpolation with a function parameter. Zbl 1313.35092
Anop, Anna A.; Murach, Aleksandr A.
5
2014
Petrovskii elliptic systems in the extended Sobolev scale. Zbl 1303.35021
Zinchenko, Tetiana N.; Murach, Aleksandr A.
3
2014
Extended Sobolev scale and elliptic operators. Zbl 1294.46036
Mikhailets, V. A.; Murach, A. A.
12
2013
Parabolic problems and interpolation with a function parameter. Zbl 1289.35147
Los, Valerii; Murach, Aleksandr A.
10
2013
Douglis-Nirenberg elliptic systems in Hörmander spaces. Zbl 1278.35081
Zinchenko, T. N.; Murach, A. A.
7
2013
Parameter-elliptic operators on the extended Sobolev scale. Zbl 1289.58011
Murach, Aleksandr A.; Zinchenko, Tetiana
4
2013
On smoothness of solutions of mixed parabolic problems. Zbl 1289.35199
Los’, V. M.; Murach, O. O.
3
2013
The refined Sobolev scale, interpolation and elliptic problems. Zbl 1258.46014
Mikhailets, Vladimir A.; Murach, Aleksandr A.
25
2012
On the unconditional almost-everywhere convergence of general orthogonal series. Zbl 1263.40001
Mikhailets, V. A.; Murach, A. A.
1
2012
Individual theorems on solvability of elliptic problems and Hörmander spaces. Zbl 1240.35138
Mikhailets, V. A.; Murach, A. A.
5
2011
General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on orthogonal series. Zbl 1249.42022
Mikhailets, Vladimir A.; Murach, A. A.
3
2011
Hörmander spaces, interpolation, and elliptic problems. (Пространства Хермандера, интерполяция и ѐллиптические задачи.) Zbl 1240.35003
Mikhaĭlets, V. A.; Murach, A. A.
3
2010
On elliptic systems in Hörmander spaces. Zbl 1224.35101
Murach, A. A.
6
2009
On elliptic operators on a closed compact manifold. Zbl 1199.47203
Mikhailets, V. A.; Murach, A. A.
5
2009
Extension of some Lions-Magenes theorems. Zbl 1199.35071
Murach, Aleksandr A.
3
2009
Elliptic problems and Hörmander spaces. Zbl 1185.35063
Mikhailets, Vladimir A.; Murach, Aleksandr A.
1
2009
Interpolation with a function parameter and refined scale of spaces. Zbl 1164.46010
Mikhailets, Vladimir A.; Murach, Aleksandr A.
17
2008
Elliptic boundary-value problem in a two-sided improved scale of spaces. Zbl 1164.35027
Mikhajlets, V. A.; Murach, A. A.
13
2008
Douglis-Nirenberg elliptic systems in the refined scale of spaces on a closed manifold. Zbl 1164.35031
Murach, Aleksandr A.
5
2008
Elliptic systems of pseudodifferential equations in the refined scale on a closed manifold. Zbl 1172.35313
Mikhailets, Vladimir A.; Murach, Aleksandr A.
2
2008
Refined scales of spaces and elliptic boundary value problems. III. Zbl 1142.35017
Mikhailets, V. A.; Murach, A. A.
18
2007
Elliptic pseudo-differential operators in a refined scale of spaces on a closed manifold. Zbl 1150.35082
Murach, A. A.
12
2007
Regular elliptic boundary value problem for a homogeneous equation in a two-sided refined scale of spaces. Zbl 1150.35027
Mikhailets, V. A.; Murach, A. A.
23
2006
Refined scales of spaces and elliptic boundary value problems. II. Zbl 1104.46021
Mikhajlets, V. A.; Murach, A. A.
15
2006
Elliptic operator with homogeneous regular boundary conditions in a two-side refined scale of spaces. Zbl 1155.35333
Mikhailets, Vladimir A.; Murach, Aleksandr A.
3
2006
Refined scales of spaces and elliptic boundary-value problems. I. Zbl 1104.46010
Mikhajlets, V. A.; Murach, A. A.
3
2006
Elliptic operators in a refined scale of function spaces. Zbl 1113.35056
Mikhailets, V. A.; Murach, A. A.
9
2005
all cited Publications top 5 cited Publications
all top 5

Cited by 49 Authors

15 Murach, Aleksandr A.
15 Mykhaĭlets’, Volodymyr Andriĭovych
11 Los, Valerii M.
6 Atlasiuk, Olena
6 Lopushans’ka, Galyna Petrovna
3 Il’kiv, Volodymyr Stepanovych
3 Lopushans’kyi, Andriy Olegovich
3 Pelekhata, O. B.
3 Strap, Nataliya Igorivna
3 Zinchenko, Tetiana N.
2 Anop, A. V.
2 Faierman, Melvin
2 Kasirenko, T. M.
2 Lopushansky, Andrzej
2 Milatovic, Ognjen
2 Reva, N. V.
2 Skorobohach, T. B.
2 Soldatov, Vitalii Oleksandrovych
1 Anop, Anna A.
1 Arias, Sergi
1 Babenko, Vladyslav Fedorovych
1 Baranetskyĭ, Yaroslav Omelyanovich
1 Chepurukhina, Iryna S.
1 Denk, Robert
1 Diachenko, O. V.
1 Diachenko, Oleksandr
1 Gnyp, E. V.
1 Goriunov, Andrii
1 Hegland, Markus
1 Hnyp, E. V.
1 Hummel, Felix
1 Ivec, Ivan
1 Kalenyuk, Petro I.
1 Kasirenko, Tetiana
1 Kodlyuk, T. I.
1 Kolyasa, Lubov I.
1 Maslyuk, H. O.
1 Molyboga, Volodymyr M.
1 Mukeru, Safari
1 M’yaus, Olga
1 Narcowich, Francis J.
1 Rodríguez-López, Salvador
1 Rowe, Stephen T.
1 Samoĭlenko, Yuliya Ivanivna
1 Samoylenko, Valerii
1 Vojnović, Ivana
1 Volyanska, Iryna I.
1 Ward, Joseph Dinneen
1 Zontov, V. A.
all top 5

Cited in 18 Serials

31 Ukrainian Mathematical Journal
5 Journal of Mathematical Sciences (New York)
4 Communications on Pure and Applied Analysis
3 Complex Analysis and Operator Theory
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Fractional Differential Calculus
2 Open Mathematics
1 Mathematics of Computation
1 Mathematische Nachrichten
1 Results in Mathematics
1 Journal of Integral Equations and Applications
1 Journal of Evolution Equations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Banach Journal of Mathematical Analysis
1 Journal of Pseudo-Differential Operators and Applications
1 Carpathian Mathematical Publications
1 Journal of Elliptic and Parabolic Equations
all top 5

Cited in 17 Fields

34 Partial differential equations (35-XX)
19 Functional analysis (46-XX)
18 Ordinary differential equations (34-XX)
16 Operator theory (47-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Numerical analysis (65-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year