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Solonnikov, Vsevolod Alekseevich

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Author ID: solonnikov.vsevolod-alekseevich Recent zbMATH articles by "Solonnikov, Vsevolod Alekseevich"
Published as: Solonnikov, V.; Solonnikov, V. A.; Solonnikov, Vsevolod; Solonnikov, Vsevolod A.; Solonnikov, Vsevolod Alekseevich; Solonnikov, Vsevolod Alekseevič
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 330 Publications since 1958, including 13 Books
Biographic References: 6 Publications
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Serials

40 Journal of Mathematical Sciences (New York)
34 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
32 Journal of Soviet Mathematics
16 St. Petersburg Mathematical Journal
12 Problemy Matematicheskogo Analiza
11 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
10 Soviet Mathematics. Doklady
9 Proceedings of the Steklov Institute of Mathematics
7 Zapiski Nauchnykh Seminarov POMI
5 Algebra i Analiz
5 Translations. Series 2. American Mathematical Society
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Mathematics of the USSR. Izvestiya
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
3 Topological Methods in Nonlinear Analysis
3 Interfaces and Free Boundaries
2 Doklady Akademii Nauk SSSR
2 Lithuanian Mathematical Journal
2 Mathematical Methods in the Applied Sciences
2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Leningrad Mathematical Journal
2 Vestnik Leningrad University. Mathematics
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Advances in Mathematical Sciences and Applications
2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
2 Journal of Mathematical Fluid Mechanics
2 Lecture Notes in Mathematics
1 Houston Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Russian Mathematical Surveys
1 Acta Mathematica Sinica
1 Commentationes Mathematicae Universitatis Carolinae
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Le Matematiche
1 Mathematica Scandinavica
1 Pacific Journal of Mathematics
1 Portugaliae Mathematica
1 Zeitschrift für Analysis und ihre Anwendungen
1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya
1 Asymptotic Analysis
1 Mathematica Bohemica
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Soviet Physics. Doklady
1 Acta Mathematica Sinica. New Series
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Functional Differential Equations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications in Contemporary Mathematics
1 Portugaliae Mathematica. Nova Série
1 Contemporary Mathematics
1 Series on Advances in Mathematics for Applied Sciences
1 Translations of Mathematical Monographs
1 Quaderni di Matematica
1 RIMS Kôkyûroku Bessatsu

Publications by Year

Citations contained in zbMATH

250 Publications have been cited 3,614 times in 2,511 Documents Cited by Year
Linear and quasi-linear equations of parabolic type. Translated from the Russian by S. Smith. Zbl 0174.15403
Ladyzhenskaya, O. A.; Solonnikov, V. A.; Ural’tseva, N. N.
773
1968
Linear and quasilinear equations of parabolic type. Zbl 0164.12302
Ladyzhenskaya, O. A.; Solonnikov, V. A.; Ural’tseva, N. N.
399
1967
Estimates for solutions of nonstationary Navier-Stokes equations. Zbl 0404.35081
Solonnikov, V. A.
139
1977
On boundary value problems for linear parabolic systems of differential equations of general form. Zbl 0164.12502
Solonnikov, V. A.
104
1965
On a boundary value problem for a stationary system of Navier-Stokes equations. Zbl 0313.35063
Solonnikov, V. A.; Scadilov, V. E.
89
1973
Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids. Zbl 0401.76037
Ladyzhenskaya, O. A.; Solonnikov, V. A.
73
1978
On some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0346.35084
Ladyzhenskaya, O. A.; Solonnikov, V. A.
60
1976
Abschätzungen der Lösungen eines instationären Navier-Stokesschen Systems. Zbl 0346.35083
Solonnikov, V. A.
53
1973
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Zbl 0766.35034
Grubb, Gerd; Solonnikov, Vsevolod A.
52
1991
A-priori-Abschätzungen für Gleichungen zweiter Ordnung vom parabolischen Typ. Zbl 0168.08202
Solonnikov, V. A.
48
1964
Abschätzung der Lösung des nichtstationären linearisierten Navier- Stokesschen Gleichungssystems. Zbl 0163.33803
Solonnikov, V. A.
44
1964
Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0388.35061
Ladyzhenskaya, O. A.; Solonnikov, V. A.
43
1978
On the unique solvability of the initial value problem for viscous incompressible inhomogeneous fluids. Zbl 0376.76021
Ladyzhenskaya, O. A.; Solonnikov, V. A.
42
1975
On nonstationary Stokes problem and Navier-Stokes problem in a half-space with initial data nondecreasing at infinity. Zbl 1054.35059
Solonnikov, V. A.
40
2003
On nonstationary Stokes problem in exterior domains. Zbl 0958.35103
Maremonti, P.; Solonnikov, V. A.
38
1997
Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface. Zbl 0398.76024
Solonnikov, V. A.
36
1977
Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces and estimates for the resolvent of the Stokes operator. Zbl 1059.35101
Solonnikov, V. A.
32
2003
On the solvability of the initial-boundary problem for the equation of motion of the viscous compressible fluid. Zbl 0338.35078
Solonnikov, V. A.
32
1976
Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations. Zbl 0187.03402
Solonnikov, V. A.
32
1968
Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid. Zbl 0451.35092
Solonnikov, V. A.
31
1980
On finding solutions of boundary value problems for stationary Stokes and Navier-Stokes equations which have an unbounded Dirichlet integral. Zbl 0463.35069
Ladyzhenskaya, O. A.; Solonnikov, V. A.
29
1980
Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm. Zbl 1068.35093
Solonnikov, V. A.
26
2002
The linearization principle and invariant manifolds for problems of magnetohydrodynamics. Zbl 0404.35089
Ladyzhenskaya, O. A.; Solonnikov, V. A.
26
1977
Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral. Zbl 0509.35066
Ladyzhenskaya, O. A.; Solonnikov, V. A.
25
1983
On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries. Zbl 0413.35062
Solonnikov, V. A.
25
1981
Solvability of the problem on evolution of a viscous incompressible fluid bounded by a free surface on a finite time interval. Zbl 0850.76132
Solonnikov, V. A.
24
1991
Free boundary problem for a viscous compressible flow with a surface tension. Zbl 0752.35096
Solonnikov, V. A.; Tani, A.
23
1991
On the transient motion of an isolated volume of viscous incompressible fluid. Zbl 0850.76180
Solonnikov, V. A.
23
1987
Existence theorems for the equations of motion of a compressible viscous fluid. Zbl 0492.76074
Solonnikov, V. A.; Kazhikhov, A. V.
23
1981
Über allgemeine Randwertprobleme für Systeme, die im Sinne von A. Douglis - L. Nirenberg elliptisch sind. I. Zbl 0128.33003
Solonnikov, V. A.
23
1964
Solvability of a three-dimensional problem with a free boundary for the stationary system of Navier-Stokes equations. Zbl 0414.35062
Solonnikov, V. A.
22
1979
On the solvability of boundary and initial-boundary value problems for Navier-Stokes equations in domains with non-compact boundaries. Zbl 0377.35060
Ladyzhenskaya, O. A.; Solonnikov, V. A.
22
1977
Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid. Zbl 0786.35106
Solonnikov, V. A.; Tani, A.
21
1992
A priori estimates for second-order parabolic equations. Zbl 0179.42901
Solonnikov, V. A.
21
1967
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
20
2004
Solvability of the problem concerning the evolution of an isolated volume of viscous incompressible capillary liquid. Zbl 0551.76022
Solonnikov, V. A.
20
1984
Lectures on evolution free boundary problems: classical solutions. Zbl 1038.35063
Solonnikov, Vsevolod A.
19
2003
Abschätzungen der Lösung für das Anfangs-Randwertproblem für ein lineares instationäres System von Navier-Stokesschen Gleichungen. Zbl 0357.76026
Solonnikov, V. A.
19
1976
General boundary value problems for Douglis-Nirenberg elliptic systems. Zbl 0168.36701
Solonnikov, V. A.
19
1966
On the solvability of classical initial-boundary value problems for the heat equation in a dihedron. Zbl 0557.35064
Solonnikov, V. A.
17
1984
Unsteady motion of a finite mass of fluid, bounded by a free surface. Zbl 0639.76035
Solonnikov, V. A.
16
1988
Unsteady flow of a finite mass of a liquid bounded by a free surface. Zbl 0614.76026
Solonnikov, V. A.
16
1986
On estimates of Green’s tensors for certain boundary problems. Zbl 0097.30404
Solonnikov, V.
16
1960
Nonstationary motion of a finite isolated mass in a self-gravitating fluid. Zbl 0713.76044
Solonnikov, V. A.
15
1989
On general boundary problems for systems which are elliptic in the sense of A. Douglis and L. Nirenberg. I. Zbl 0175.11703
Solonnikov, V. A.
15
1964
Über Differentialeigenschaften der Lösung des ersten Randwertproblems für das nichtstationäre System der Navier-Stokesschen Gleichungen. Zbl 0163.33901
Solonnikov, V. A.
15
1964
On the local solvability of free boundary problem for the Navier-Stokes equations. Zbl 1357.35247
Padula, M.; Solonnikov, V. A.
14
2010
Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm. Zbl 0909.35105
Maremonti, P.; Solonnikov, V. A.
14
1995
Solution of parabolic pseudo-differential initial-boundary value problems. Zbl 0713.35109
Grubb, Gerd; Solonnikov, Vsevolod A.
14
1990
On the Neumann problem for second order elliptic equations in domains with edges at the boundary. Zbl 0518.35030
Zajaczkowski, W.; Solonnikov, V. A.
14
1983
On overdetermined elliptic boundary value problems. Zbl 0231.35029
Solonnikov, V. A.
14
1971
\(L_ p\)-estimates for solutions of the heat equation in a dihedral angle. Zbl 1052.35046
Solonnikov, V. A.
13
2001
On a parabolic system with time derivative in the boundary conditions and related free boundary problems. Zbl 0940.35211
Rodrigues, J. F.; Solonnikov, V. A.; Yi, F.
13
1999
Solvability of an initial-boundary value problem with time derivative in the boundary condition for a second order parabolic equation in a weighted Hölder function space. Zbl 0805.35043
Bizhanova, G. I.; Solonnikov, V. A.
13
1993
On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary. Zbl 0731.35079
Solonnikov, V. A.
13
1991
Schauder estimates for the evolutionary generalized Stokes problem. Zbl 1361.35135
Solonnikov, V. A.
12
2007
Free boundary problems for second order parabolic equations. Zbl 0997.35102
Bizhanova, G. I.; Solonnikov, V. A.
12
2001
Estimates for the solution of the second initial boundary-value problem for the Stokes system in the spaces of functions having Hölder continuous derivatives with respect to the spatial variables. Zbl 1153.76349
Solonnikov, V. A.
12
1999
On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Zbl 0974.35097
Solonnikov, V. A.
12
1999
\(L_p\)-theory for the Stefan problem. Zbl 0906.35119
Solonnikov, V. A.; Frolova, E. V.
12
1997
On some free boundary problems for the Navier-Stokes equations with moving contact points and lines. Zbl 0926.35116
Solonnikov, V. A.
12
1995
Classical solvability of the problem on the motion of two viscous incompressible fluids. Zbl 0859.35093
Denisova, I. V.; Solonnikov, V. A.
11
1995
On the problem of dynamic contact angle. Zbl 0532.76026
Pukhnachev, V. V.; Solonnikov, V. A.
11
1983
On the solvability of the second initial-boundary value problem for the linear non-stationary Navier-Stokes system. Zbl 0348.35079
Solonnikov, V. A.
11
1977
Weighted Schauder estimates for evolution Stokes problem. Zbl 1115.35105
Solonnikov, Vsevolod A.
10
2006
On quasistationary approximation in the problem of motion of a capillary drop. Zbl 0919.35103
Solonnikov, V. A.
10
1999
Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries. Zbl 0612.35111
Solonnikov, V. A.; Piletskas, K. I.
10
1986
Estimates of the solutions of initial boundary value problems in weighted Hölder norms. Zbl 0442.35016
Solonnikov, V. A.; Khachatryan, A. G.
10
1980
Green’s matrices for elliptic boundary value problems. II. Zbl 0231.35030
Solonnikov, V. A.
10
1971
On the free boundary problem of magnetohydrodynamics. Zbl 1304.35782
Padula, M.; Solonnikov, V. A.
9
2011
On a problem of magnetohydrodynamics in a multi-connected domain. Zbl 1402.35227
Mosconi, Sunra J. N.; Solonnikov, Vsevolod A.
9
2011
On the global existence of nonsteady motions of a fluid drop and their exponential decay to a uniform rigid rotation. Zbl 1284.76095
Padula, M.; Solonnikov, V. A.
9
2002
Existence, uniqueness and asymptotic behaviour of solutions of steady-state Navier-Stokes equations in a plane aperture domain. Zbl 0990.35116
Galdi, G. P.; Padula, M.; Solonnikov, V. A.
9
1996
On parabolic oblique derivative problem with Hölder continuous coefficients. Zbl 0562.35044
Garroni, M. G.; Solonnikov, V. A.
9
1984
The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations. Zbl 0388.35059
Solonnikov, V. A.
9
1978
On some spaces of divergence-free vector fields and on the solvability of a boundary-value problem for Navier-Stokes equations in domains with non- compact boundaries. Zbl 0406.35054
Solonnikov, V. A.; Piletskas, K. I.
9
1977
Overdetermined elliptic boundary-value problems. Zbl 0285.35026
Solonnikov, V. A.
9
1973
On Green’s matrices for elliptic boundary value problems. I. Zbl 0244.35042
Solonnikov, V. A.
9
1972
Global solvability of a problem governing the motion of two incompressible capillary fluids in a container. Zbl 1278.35175
Denisova, I. V.; Solonnikov, V. A.
8
2012
On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid. Zbl 1068.35114
Solonnikov, V. A.
8
2004
\(L_q\)-estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. Zbl 1046.35085
Koch, Herbert; Solonnikov, Vsevolod A.
8
2002
Estimate of the generalized energy in a free-boundary problem for a viscous incompressible fluid. Zbl 1075.35041
Solonnikov, V. A.
8
2001
Classical solvability of a model problem in a half-space, related to the motion of an isolated mass of a compressible fluid. Zbl 1118.76312
Denisova, I. V.; Solonnikov, V. A.
8
2000
On an initial-boundary value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects. Zbl 0927.76100
Mulone, G.; Solonnikov, V. A.
8
1995
On the solvability of an evolution free boundary problem for the Navier-Stokes equations in Hölder spaces of functions. Zbl 0793.35072
Mogilevskij, I. S.; Solonnikov, V. A.
8
1992
On problems of the hydrodynamics of a viscous incompressible fluid in domains with noncompact boundaries. Zbl 0840.35078
Solonnikov, V. A.
8
1992
Solvability of the linearized problem on the motion of a drop in a liquid flow. Zbl 0796.76025
Denisova, I. V.; Solonnikov, V. A.
8
1989
Solvability of the classical initial-boundary-value problems for the heat-conduction equation in a dihedral angle. Zbl 0582.35055
Solonnikov, V. A.
8
1986
Solvability of three-dimensional problems with a free boundary for a stationary system of Navier-Stokes equations. Zbl 0515.35073
Solonnikov, V. A.
8
1983
Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier-Stokes system. Zbl 0389.76024
Solonnikov, V. A.
8
1978
On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid. Zbl 1075.35042
Solonnikov, V. A.
7
2004
On estimates of solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm. Zbl 0888.35080
Maremonti, P.; Solonnikov, V. A.
7
1995
Solvability in Hölder spaces for a model initial-boundary value problem generated by a problem on the motion of two fluids. Zbl 0756.35067
Denisova, I. V.; Solonnikov, V. A.
7
1991
On a problem with a third boundary condition for the Laplace equation in a plane angle and its application to parabolic problems. Zbl 0711.35036
Solonnikov, V. A.; Frolova, E. V.
7
1990
An estimate for the solutions of Stokes equations in exterior domains. Zbl 0792.35130
Maremonti, P.; Solonnikov, V. A.
7
1990
Solvability of a problem on the plane motion of a heavy viscous incompressible capillary liquid partially filling a container. Zbl 0429.76020
Solonnikov, V. A.
7
1980
Estimates in \(L_ p\) of solutions of elliptic and parabolic systems. Zbl 0204.42101
Solonnikov, V. A.
7
1969
Estimates of convolution operators. Zbl 0205.14602
Golovkin, K. K.; Solonnikov, V. A.
7
1968
Abschätzungen von Integraloperatoren in translationsinvarianten Normen. Zbl 0163.33204
Golovkin, K. K.; Solonnikov, V. A.
7
1964
Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval. Zbl 1308.76338
Solonnikov, V. A.; Frolova, E. V.
6
2013
\(L_2\)-theory for two incompressible fluids separated by a free interface. Zbl 1416.35182
Denisova, Irina V.; Solonnikov, Vsevolod A.
1
2018
On the solvability of free boundary problem for viscous compressible fluids in an infinite time interval. Zbl 1371.35224
Solonnikov, Vsevolod Alekseevich
1
2016
On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations. Zbl 1323.45003
Sahaev, Sh.; Solonnikov, V. A.
1
2015
\(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container. Zbl 1309.35093
Solonnikov, V. A.
3
2014
Viscous incompressible free-surface flow down an inclined perturbed plane. Zbl 1302.35298
Pileckas, K.; Solonnikov, V. A.
2
2014
\(L_p\)-theory of free boundary problems of magnetohydrodynamics in simply connected domains. Zbl 1328.35335
Solonnikov, V. A.
1
2014
Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval. Zbl 1308.76338
Solonnikov, V. A.; Frolova, E. V.
6
2013
\(L_p\)-estimates for a linear problem arising in the study of the motion of an isolated liquid mass. Zbl 1283.35068
Solonnikov, V. A.
4
2013
Mixed type, nonlinear systems in polygonal domains. Zbl 1276.35118
Solonnikov, Vsevolod A.; Vivaldi, Maria A.
2
2013
Global solvability of a problem governing the motion of two incompressible capillary fluids in a container. Zbl 1278.35175
Denisova, I. V.; Solonnikov, V. A.
8
2012
On some stationary problems of magnetohydrodynamics in multi-connected domains. Zbl 1261.35123
Sakhaev, Sh.; Solonnikov, V. A.
3
2012
Free boundary problems of magnetohydrodynamics in multi-connected domains. Zbl 1282.35315
Solonnikov, Vsevolod A.
2
2012
On the stability of uniformly rotating viscous incompressible self-gravitating liquid. Zbl 1287.35109
Solonnikov, Vsevolod A.
1
2012
\(L_{p}\)-estimates of the solution of a linear problem arising in magnetohydrodynamics. Zbl 1234.35202
Solonnikov, V.
1
2012
On the free boundary problem of magnetohydrodynamics. Zbl 1304.35782
Padula, M.; Solonnikov, V. A.
9
2011
On a problem of magnetohydrodynamics in a multi-connected domain. Zbl 1402.35227
Mosconi, Sunra J. N.; Solonnikov, Vsevolod A.
9
2011
On the linear problem arising in the study of a free boundary problem for the Navier-Stokes equations. Zbl 1230.35090
Solonnikov, V. A.
6
2011
On the stability of uniformly rotating liquid in a weak magnetic field. Zbl 1290.76163
Solonnikov, V. A.
1
2011
On the local solvability of free boundary problem for the Navier-Stokes equations. Zbl 1357.35247
Padula, M.; Solonnikov, V. A.
14
2010
Linearization principle for a system of equations of mixed type. Zbl 1178.35061
Mulone, G.; Solonnikov, V. A.
4
2009
Schauder estimates for a system of equations of mixed type. Zbl 1183.35209
Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A.
2
2009
On the nonstationary motion of a viscous incompressible liquid over a rotating ball. Zbl 1214.35087
Solonnikov, V. A.
1
2009
A simple proof of the linear instability of rotating liquid drops. Zbl 1248.76059
Padula, Mariarosaria; Solonnikov, Vsevolod A.
3
2008
On estimates for volume and surface potentials in domains with boundary of class \(W_{2}^{l}\). Zbl 1202.31005
Solonnikov, V. A.
2
2008
On estimates for potentials related to the problem of stability of a rotating self-gravitating liquid. Zbl 1202.35360
Solonnikov, V. A.
1
2008
Schauder estimates for the evolutionary generalized Stokes problem. Zbl 1361.35135
Solonnikov, V. A.
12
2007
On the linear problem related to the stability of uniformly rotating self-gravitating liquid. Zbl 1202.35178
Solonnikov, V. A.
3
2007
On Schauder estimates for the evolution generalized Stokes problem. Zbl 1123.35005
Solonnikov, Vsevolod A.
3
2007
On stability of equilibrium figures of a uniformly rotating liquid drop in \(n\)-dimensional space. Zbl 1119.35058
Padula, M.; Solonnikov, V. A.
2
2007
On the problem of non-stationary motion of two viscous incompressible liquids. Zbl 1202.35177
Solonnikov, V. A.
1
2007
Weighted Schauder estimates for evolution Stokes problem. Zbl 1115.35105
Solonnikov, Vsevolod A.
10
2006
Estimates of the solution of model evolution generalized Stokes problem in weighted Hölder spaces. Zbl 1127.35051
Solonnikov, V. A.
4
2006
On instability of equilibrium figures of rotating viscous incompressible self-gravitating liquid not subjected to capillary forces. Zbl 1119.35069
Solonnikov, V. A.
2
2006
Letter to the editor: Erratum to: “On a linear problem connected with equilibrium figures of a uniformly rotating viscous liquid”. Zbl 1114.35026
Solonnikov, V. A.
2
2006
Weighted estimates for the solution of a linear problem associated with the one-phase Stefan problem in the case when the specific heat tends to zero. Zbl 1123.35093
Solonnikov, V. A.; Frolova, E. V.
1
2006
On instability of equilibrium figures of rotating viscous incompressible liquid. Zbl 1099.76022
Solonnikov, V. A.
4
2005
On the stability of axially symmetric equilibrium figures of a rotating viscous incompressible fluid. Zbl 1068.35092
Solonnikov, V. A.
2
2005
On linear stability and instability of equilibrium figures of uniformly rotating liquid. Zbl 1140.76335
Solonnikov, V. A.
1
2005
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
20
2004
On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid. Zbl 1068.35114
Solonnikov, V. A.
8
2004
On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid. Zbl 1075.35042
Solonnikov, V. A.
7
2004
Estimates for the resolvent of the operator appearing in the study of equilibrium figures of a rotating viscous incompressible fluid. Zbl 1099.35105
Solonnikov, V. A.
2
2004
The problem on evolution of a self-gravitating isolated fluid mass that is not subject to the surface tension forces. Zbl 1099.35182
Solonnikov, V. A.
1
2004
On nonstationary Stokes problem and Navier-Stokes problem in a half-space with initial data nondecreasing at infinity. Zbl 1054.35059
Solonnikov, V. A.
40
2003
Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces and estimates for the resolvent of the Stokes operator. Zbl 1059.35101
Solonnikov, V. A.
32
2003
Lectures on evolution free boundary problems: classical solutions. Zbl 1038.35063
Solonnikov, Vsevolod A.
19
2003
Classical solvability of a problem on the motion of an isolated mass of compressible fluid. Zbl 1037.35103
Denisova, I. V.; Solonnikov, V. A.
6
2003
\(L_q\)-estimates for a solution to the problem about the evolution of an isolated amount of a fluid. Zbl 1054.35070
Solonnikov, V. A.
2
2003
Unsaturated incompressible flows in adsorbing porous media. Zbl 1066.76060
Fasano, A.; Solonnikov, V.
2
2003
On the problem of evolution of an isolated liquid mass. Zbl 1071.76023
Solonnikov, V. A.
1
2003
Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm. Zbl 1068.35093
Solonnikov, V. A.
26
2002
On the global existence of nonsteady motions of a fluid drop and their exponential decay to a uniform rigid rotation. Zbl 1284.76095
Padula, M.; Solonnikov, V. A.
9
2002
\(L_q\)-estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. Zbl 1046.35085
Koch, Herbert; Solonnikov, Vsevolod A.
8
2002
Existence of non-steady flows of an incompressible, viscous drop of fluid in a frame rotating with finite angular velocity. Zbl 1039.35018
Padula, M.; Solonnikov, V. A.
6
2002
On the theory of nonstationary hydrodynamic potentials. Zbl 0995.35044
Solonnikov, Vsevolod
6
2002
Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008
Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, V. A. (ed.); Uraltseva, N. N. (ed.)
3
2002
Potential theory for the nonstationary Stokes problem in nonconvex domains. Zbl 1054.35060
Solonnikov, Vsevolod A.
2
2002
Nonlinear problems in mathematical physics and related topics I. In honour of Prof. O. A. Ladyzhenskaya. Zbl 0998.00009
Birman, M. Sh. (ed.); Gil’debrandt, Stefan (ed.); Solonnikov, V. A. (ed.); Ural’tseva, Nina N. (ed.)
1
2002
Nonlinear problems in mathematical physics and related topics II. In honour of Professor O. A. Ladyzhenskaya. Zbl 1005.00022
Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, Vsevolod A. (ed.); Uraltseva, Nina N. (ed.)
1
2002
\(L_ p\)-estimates for solutions of the heat equation in a dihedral angle. Zbl 1052.35046
Solonnikov, V. A.
13
2001
Free boundary problems for second order parabolic equations. Zbl 0997.35102
Bizhanova, G. I.; Solonnikov, V. A.
12
2001
Estimate of the generalized energy in a free-boundary problem for a viscous incompressible fluid. Zbl 1075.35041
Solonnikov, V. A.
8
2001
\(L_p\)-estimates for a solution to the nonstationary Stokes equations. Zbl 0987.35121
Kokh, Kh.; Solonnikov, V. A.
2
2001
Initial-boundary value problem for generalized Stokes equations. Zbl 0981.35047
Solonnikov, V. A.
2
2001
Smooth interface in a two-component Stokes flow. Zbl 1005.35073
Antontsev, S. N.; Meirmanov, A. M.; Solonnikov, V. A.
1
2001
The exponential behaviour of the Green function in a dihedral angle. Zbl 1075.35524
Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A.
1
2001
\(L_p\)-estimates of solutions of initial-boundary value problem for generalized Stokes equations. Zbl 1003.76016
Solonnikov, V. A.
1
2001
Classical solvability of a model problem in a half-space, related to the motion of an isolated mass of a compressible fluid. Zbl 1118.76312
Denisova, I. V.; Solonnikov, V. A.
8
2000
Jeffery-Hamel asymptotics for steady state Navier-Stokes flow in domains with sector-like outlets to infinity. Zbl 0979.35113
Rivkind, L.; Solonnikov, V. A.
5
2000
\(L_p\)-estimates for solutions to the initial-boundary value problem for the generalized Stokes system of equations in a bounded domain. Zbl 0986.35084
Solonnikov, V. A.
4
2000
On the quasistationary approximation in the problem of evolution of an isolated liquid mass. Zbl 0961.35115
Solonnikov, V. A.
4
2000
The initial-boundary value problem for a generalized Stokes system in a half-space. Zbl 1027.76010
Solonnikov, V. A.
2
2000
A one-dimensional parabolic problem arising in studies of some free boundary problems. Zbl 1031.35153
Solonnikov, V. A.; Fasano, A.
1
2000
On nonsymmetric two-dimensional viscous flow through an aperture. Zbl 0977.76014
Rivkind, L. P.; Solonnikov, V. A.
1
2000
On a parabolic system with time derivative in the boundary conditions and related free boundary problems. Zbl 0940.35211
Rodrigues, J. F.; Solonnikov, V. A.; Yi, F.
13
1999
Estimates for the solution of the second initial boundary-value problem for the Stokes system in the spaces of functions having Hölder continuous derivatives with respect to the spatial variables. Zbl 1153.76349
Solonnikov, V. A.
12
1999
On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Zbl 0974.35097
Solonnikov, V. A.
12
1999
On quasistationary approximation in the problem of motion of a capillary drop. Zbl 0919.35103
Solonnikov, V. A.
10
1999
On the problem of a steady fall of a drop in a liquid medium. Zbl 0951.35110
Solonnikov, V. A.
2
1999
Existence and regularity results for oblique derivative problems for heat equations in an angle. Zbl 0958.35063
Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A.
5
1998
Solvability of two-dimensional free boundary value problem for the Navier-Stokes equations for limiting values of contact angle. Zbl 0932.35161
Solonnikov, Vsevolod A.
4
1998
Stationary free boundary problems for the Navier-Stokes equations. Zbl 0941.35071
Solonnikov, Vsevolod A.
2
1998
Free boundary problems for second order parabolic equations. Zbl 0922.35192
Solonnikov, V. A.
2
1998
Solvability of two stationary free boundary problems for the Navier-Stokes equations. Zbl 0955.35059
Solonnikov, V. A.
1
1998
Free boundary problem in the flow of a fluid at the exit of a cylindrical tube. Zbl 0934.35127
Solonnikov, V. A.
1
1998
Recent developments in partial differential equations. Zbl 0910.00019
Solonnikov, Vsevolod A. (ed.)
1
1998
On nonstationary Stokes problem in exterior domains. Zbl 0958.35103
Maremonti, P.; Solonnikov, V. A.
38
1997
\(L_p\)-theory for the Stefan problem. Zbl 0906.35119
Solonnikov, V. A.; Frolova, E. V.
12
1997
An estimate of the solutions of a stationary problem for the Navier-Stokes equations. Zbl 0961.35114
Solonnikov, V. A.
2
1997
Gradient estimates for solutions of the Navier-Stokes equations. Zbl 0896.35104
Finn, Robert; Solonnikov, Vsevolod
2
1997
Green function for the heat equation with oblique boundary conditions in an angle. Zbl 1011.35069
Garroni, Maria Giovanna; Solonnikov, Vsevolod Alekseevič; Vivaldi, Maria Agostina
1
1997
Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions. Zbl 0982.76544
Novotny, A.; Penel, P.; Solonnikov, V. A.
1
1997
Problem of steady motion for a second-grade fluid in the Hölder classes of functions. Zbl 0906.35075
Moghilevskii, I. Sh.; Solonnikov, V. A.
1
1997
Existence, uniqueness and asymptotic behaviour of solutions of steady-state Navier-Stokes equations in a plane aperture domain. Zbl 0990.35116
Galdi, G. P.; Padula, M.; Solonnikov, V. A.
9
1996
On the oblique derivative problem in an infinite angle. Zbl 0897.35023
Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A.
5
1996
Estimates of Oseen’s potentials in weighted Hölder spaces. Zbl 0857.76028
Solonnikov, V. A.
3
1996
On steady motion of a drop in an infinite liquid medium. Zbl 0928.76027
Solonnikov, V. A.
2
1996
Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm. Zbl 0909.35105
Maremonti, P.; Solonnikov, V. A.
14
1995
On some free boundary problems for the Navier-Stokes equations with moving contact points and lines. Zbl 0926.35116
Solonnikov, V. A.
12
1995
Classical solvability of the problem on the motion of two viscous incompressible fluids. Zbl 0859.35093
Denisova, I. V.; Solonnikov, V. A.
11
1995
...and 150 more Documents
all top 5

Cited by 2,452 Authors

75 Solonnikov, Vsevolod Alekseevich
39 Pileckas, Konstantin
33 Maremonti, Paolo
28 Zajączkowski, Wojciech M.
21 Seregin, Gregory A.
20 Shibata, Yoshihiro
19 Beirão da Veiga, Hugo
18 Farwig, Reinhard
18 Giga, Yoshikazu
18 Repin, Sergeĭ Igorevich
18 Sohr, Hermann
16 Mucha, Piotr Bogusław
16 Padula, Mariarosaria
15 Jin, Bum Ja
14 Tani, Atusi
13 Chang, Tongkeun
13 Denisova, Irina Vlad.
13 Hieber, Matthias
12 Frolova, E. V.
12 Galdi, Giovanni Paolo
12 Kamynin, Vitaly L.
12 Rojas-Medar, Marko Antonio
12 Shimizu, Senjo
11 Dong, Hongjie
11 Friedman, Avner
11 Kang, Kyungkeun
10 Degtyarev, Sergeĭ Petrovich
10 Nazarov, Sergeĭ Aleksandrovich
10 Raymond, Jean-Pierre
10 Vishnevskii, Mikhail P.
10 Winkler, Michael
10 Xin, Zhouping
9 Braz e Silva, Pablo
9 Cherepova, M. F.
9 Choe, Hi Jun
9 Deuring, Paul
9 O’Riordan, Eugene
9 Radkevich, Evgeniĭ Vladimirovich
9 Tao, Youshan
9 Wang, Lihe
8 Abels, Helmut
8 Amosov, Andreĭ Avenirovich
8 Amrouche, Chérif
8 Arkhipova, Arina A. Arkhipova
8 Gracia, José Luis
8 Ivanov, Aleksandr Vasil’evich
8 Kozono, Hideo
8 Ladyzhenskaya, Ol’ga Aleksandrovna
8 Lin, Zhigui
8 Maz’ya, Vladimir Gilelevich
8 Mulone, Giuseppe
8 Nečasová, Šárka
8 Pukhnachov, Vladislav Vasil’evich
8 Russo, Remigio
8 Shelukhin, Vladimir
8 Sritharan, Sivaguru S.
8 Tice, Ian
8 Zhang, Ping
7 Abe, Ken
7 Bazaliy, Borys V.
7 Bendahmane, Mostafa
7 Berselli, Luigi Carlo
7 Borchers, Wolfgang
7 Diaz Diaz, Jesus Ildefonso
7 Garroni, Maria Giovanna
7 Huang, Xiangdi
7 Johnsen, Jon
7 Kostin, Andrey B.
7 Kozlov, Vladimir A.
7 Málek, Josef
7 Prüß, Jan Wilhelm
7 Rossmann, Jürgen
7 Saal, Jürgen
7 Shilkin, T. N.
7 Shishkin, Grigoriĭ Ivanovich
7 Shkoller, Steve
7 Stupyalis, Lyudvikas I.
7 Tan, Zhong
7 Valli, Alberto
7 Vasylyeva, Nataliya V.
7 Vivaldi, Maria Agostina
7 Wang, Yanjin
7 Yin, Jingxue
7 Zhang, Zhifei
7 Zlotnik, Alexander A.
6 Bazaliĭ, Boris V.
6 Boldrini, José Luiz
6 Bresch, Didier
6 Danchin, Raphaël
6 Fan, Jishan
6 Fernández-Cara, Enrique
6 Grubb, Gerd
6 Han, Pigong
6 Hishida, Toshiaki
6 Kim, Hyunseok
6 Krasnoshchok, Mykola Valeriĭovych
6 Lesnic, Daniel
6 Li, Jing
6 Maekawa, Yasunori
6 Meirmanov, Anvarbek Mukatovich
...and 2,352 more Authors
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Cited in 276 Serials

231 Journal of Differential Equations
167 Journal of Mathematical Analysis and Applications
155 Journal of Mathematical Sciences (New York)
141 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
85 Siberian Mathematical Journal
62 Archive for Rational Mechanics and Analysis
54 Journal of Mathematical Fluid Mechanics
54 Nonlinear Analysis. Real World Applications
46 Ukrainian Mathematical Journal
45 Journal of Functional Analysis
40 Journal of Soviet Mathematics
39 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
38 Mathematical Notes
37 Computers & Mathematics with Applications
35 Nonlinear Analysis. Theory, Methods & Applications
33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
32 Mathematical Methods in the Applied Sciences
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
27 Journal of Applied Mathematics and Mechanics
27 Journal of Computational and Applied Mathematics
26 Rendiconti del Seminario Matematico della Università di Padova
25 Communications in Mathematical Physics
24 Acta Applicandae Mathematicae
23 Applied Mathematics and Computation
23 Mathematische Annalen
23 SIAM Journal on Mathematical Analysis
22 Lithuanian Mathematical Journal
21 Mathematische Zeitschrift
21 Applied Mathematics Letters
21 Communications in Partial Differential Equations
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Differential Equations
17 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Zeitschrift für Analysis und ihre Anwendungen
17 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Advances in Mathematics
14 Abstract and Applied Analysis
13 Stochastic Processes and their Applications
12 Proceedings of the Japan Academy. Series A
12 St. Petersburg Mathematical Journal
12 Boundary Value Problems
11 Applicable Analysis
11 Applications of Mathematics
11 Discrete and Continuous Dynamical Systems
11 Journal of Evolution Equations
10 Manuscripta Mathematica
10 Mathematische Nachrichten
10 Transactions of the American Mathematical Society
10 Computational Mathematics and Mathematical Physics
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Journal of Mathematical Physics
9 Rocky Mountain Journal of Mathematics
9 Applied Mathematics and Optimization
9 Doklady Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Evolution Equations and Control Theory
8 Communications on Pure and Applied Mathematics
8 Numerische Mathematik
8 Physica D
8 Mathematical and Computer Modelling
8 Communications on Pure and Applied Analysis
8 Discrete and Continuous Dynamical Systems. Series S
7 The Annals of Probability
7 Applied Numerical Mathematics
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Calculus of Variations and Partial Differential Equations
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Science China. Mathematics
6 Journal of the Mathematical Society of Japan
6 Journal of Optimization Theory and Applications
6 Mathematics and Computers in Simulation
6 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
5 International Journal of Engineering Science
5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Meccanica
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 SIAM Journal on Control and Optimization
5 Acta Mathematicae Applicatae Sinica. English Series
5 Journal of Integral Equations and Applications
5 Journal of Dynamics and Differential Equations
5 Russian Mathematics
5 Topological Methods in Nonlinear Analysis
5 NoDEA. Nonlinear Differential Equations and Applications
5 Sbornik: Mathematics
5 Journal of Applied Mechanics and Technical Physics
5 Proceedings of the Steklov Institute of Mathematics
5 Analysis and Mathematical Physics
4 Journal d’Analyse Mathématique
4 Journal of Computational Physics
4 Mathematics of Computation
4 Acta Mathematica
4 Annales de l’Institut Fourier
4 Proceedings of the American Mathematical Society
4 Tohoku Mathematical Journal. Second Series
4 Systems & Control Letters
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Japan Journal of Industrial and Applied Mathematics
4 The Annals of Applied Probability
...and 176 more Serials
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Cited in 42 Fields

2,202 Partial differential equations (35-XX)
1,060 Fluid mechanics (76-XX)
173 Numerical analysis (65-XX)
141 Biology and other natural sciences (92-XX)
122 Calculus of variations and optimal control; optimization (49-XX)
95 Probability theory and stochastic processes (60-XX)
89 Operator theory (47-XX)
86 Mechanics of deformable solids (74-XX)
85 Classical thermodynamics, heat transfer (80-XX)
83 Functional analysis (46-XX)
72 Systems theory; control (93-XX)
38 Ordinary differential equations (34-XX)
33 Integral equations (45-XX)
33 Statistical mechanics, structure of matter (82-XX)
29 Dynamical systems and ergodic theory (37-XX)
26 Global analysis, analysis on manifolds (58-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Geophysics (86-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
20 Differential geometry (53-XX)
19 Optics, electromagnetic theory (78-XX)
18 Potential theory (31-XX)
12 Real functions (26-XX)
9 Functions of a complex variable (30-XX)
9 Computer science (68-XX)
9 Astronomy and astrophysics (85-XX)
7 Operations research, mathematical programming (90-XX)
5 History and biography (01-XX)
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4 Quantum theory (81-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Statistics (62-XX)
3 Relativity and gravitational theory (83-XX)
2 Algebraic geometry (14-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
1 Number theory (11-XX)
1 Special functions (33-XX)

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