Vasilyev, V. B. On some elliptic boundary value problems in conic domains. (English. Russian original) Zbl 1525.35271 Comput. Math. Math. Phys. 63, No. 8, 1437-1443 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 8, 1309-1315 (2023). MSC: 35S15 35A01 35A02 PDFBibTeX XMLCite \textit{V. B. Vasilyev}, Comput. Math. Math. Phys. 63, No. 8, 1437--1443 (2023; Zbl 1525.35271); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 8, 1309--1315 (2023) Full Text: DOI
Honda, Hirotada; Tani, Atusi Small-time solvability of the primitive equations for the coupled atmosphere and ocean model. (English) Zbl 1509.35223 Acta Appl. Math. 184, Paper No. 1, 41 p. (2023). MSC: 35Q35 35Q86 35R35 76T10 86A10 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{H. Honda} and \textit{A. Tani}, Acta Appl. Math. 184, Paper No. 1, 41 p. (2023; Zbl 1509.35223) Full Text: DOI
Tani, Atusi On phase-field equations of Penrose-Fife type with the non-conserved order parameter under flux boundary condition. I: Global-in-time solvability. (English) Zbl 07822081 Mat. Zamet. SVFU 29, No. 1, 103-121 (2022). MSC: 35-XX 81-XX PDFBibTeX XMLCite \textit{A. Tani}, Mat. Zamet. SVFU 29, No. 1, 103--121 (2022; Zbl 07822081) Full Text: DOI
Denisova, I. V.; Solonnikov, V. A. Rotation problem for a two-phase drop. (English) Zbl 1487.35286 J. Math. Fluid Mech. 24, No. 2, Paper No. 40, 26 p. (2022). MSC: 35Q30 76D05 35R35 76D03 76U05 76E17 35B20 35B35 PDFBibTeX XMLCite \textit{I. V. Denisova} and \textit{V. A. Solonnikov}, J. Math. Fluid Mech. 24, No. 2, Paper No. 40, 26 p. (2022; Zbl 1487.35286) Full Text: DOI
Mykhaĭlets’, V. A.; Skorobohach, T. B. Fredholm boundary-value problems with parameter in Sobolev-Slobodetskiĭ spaces. (Ukrainian. English summary) Zbl 1481.47115 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 4, 3-8 (2021). MSC: 47N20 34A30 34B10 47A53 46E35 PDFBibTeX XMLCite \textit{V. A. Mykhaĭlets'} and \textit{T. B. Skorobohach}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 4, 3--8 (2021; Zbl 1481.47115) Full Text: DOI
Vasilyev, V. B.; Kutaiba, Sh. H. On some multidimensional limit boundary value problems. (English) Zbl 1468.35243 Lobachevskii J. Math. 42, No. 6, 1219-1227 (2021). MSC: 35S15 35B40 35J25 PDFBibTeX XMLCite \textit{V. B. Vasilyev} and \textit{Sh. H. Kutaiba}, Lobachevskii J. Math. 42, No. 6, 1219--1227 (2021; Zbl 1468.35243) Full Text: DOI
Vasil’ev, V. B. Boundary value problems for elliptic pseudodifferential equations in a multidimensional cone. (English. Russian original) Zbl 1452.35270 Differ. Equ. 56, No. 10, 1324-1334 (2020); translation from Differ. Uravn. 56, No. 10, 1356-1365 (2020). MSC: 35S15 35A01 35A02 PDFBibTeX XMLCite \textit{V. B. Vasil'ev}, Differ. Equ. 56, No. 10, 1324--1334 (2020; Zbl 1452.35270); translation from Differ. Uravn. 56, No. 10, 1356--1365 (2020) Full Text: DOI
Solonnikov, V. A. On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface. (English) Zbl 1414.35151 St. Petersbg. Math. J. 30, No. 2, 347-377 (2019) and Algebra Anal. 30, No. 2, 274-317 (2018). MSC: 35Q30 76D10 76N99 35R35 PDFBibTeX XMLCite \textit{V. A. Solonnikov}, St. Petersbg. Math. J. 30, No. 2, 347--377 (2019; Zbl 1414.35151) Full Text: DOI
Denisova, Irina V.; Solonnikov, Vsevolod A. \(L_2\)-theory for two incompressible fluids separated by a free interface. (English) Zbl 1416.35182 Topol. Methods Nonlinear Anal. 52, No. 1, 213-238 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D05 35R35 76D45 PDFBibTeX XMLCite \textit{I. V. Denisova} and \textit{V. A. Solonnikov}, Topol. Methods Nonlinear Anal. 52, No. 1, 213--238 (2018; Zbl 1416.35182) Full Text: DOI Euclid
Vasilyev, V. B. Pseudodifferential operators and equations of variable order. (English. Russian original) Zbl 1516.35583 Differ. Equ. 54, No. 9, 1156-1167 (2018); translation from Differ. Uravn. 54, No. 9, 1184-1195 (2018). MSC: 35S05 47A53 PDFBibTeX XMLCite \textit{V. B. Vasilyev}, Differ. Equ. 54, No. 9, 1156--1167 (2018; Zbl 1516.35583); translation from Differ. Uravn. 54, No. 9, 1184--1195 (2018) Full Text: DOI
Kondo, Shintaro Global-in-time existence results for the two-dimensional Hasegawa-Wakatani equations. (English) Zbl 1423.76492 Ann. Mat. Pura Appl. (4) 197, No. 6, 1799-1819 (2018). MSC: 76W05 35K45 35Q60 82D10 PDFBibTeX XMLCite \textit{S. Kondo}, Ann. Mat. Pura Appl. (4) 197, No. 6, 1799--1819 (2018; Zbl 1423.76492) Full Text: DOI
Piasecki, Tomasz Steady transport equation in Sobolev-Slobodetskii spaces. (English) Zbl 1406.35239 Colloq. Math. 154, No. 1, 65-76 (2018). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{T. Piasecki}, Colloq. Math. 154, No. 1, 65--76 (2018; Zbl 1406.35239) Full Text: DOI arXiv
Vasilyev, Alexander V.; Vasilyev, Vladimir B. Difference equations and boundary value problems. (English) Zbl 1355.39012 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, May 18–22, 2015. Selected contributions. Cham: Springer (ISBN 978-3-319-32855-3/hbk; 978-3-319-32857-7/ebook). Springer Proceedings in Mathematics & Statistics 164, 421-432 (2016). MSC: 39A14 39A12 35S15 PDFBibTeX XMLCite \textit{A. V. Vasilyev} and \textit{V. B. Vasilyev}, Springer Proc. Math. Stat. 164, 421--432 (2016; Zbl 1355.39012) Full Text: DOI Link
Chkadua, George Mixed type boundary value problems for polymetaharmonic equations. (English) Zbl 1354.31012 Georgian Math. J. 23, No. 4, 489-510 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 31B35 35J40 35C20 35B65 47G30 PDFBibTeX XMLCite \textit{G. Chkadua}, Georgian Math. J. 23, No. 4, 489--510 (2016; Zbl 1354.31012) Full Text: DOI
Denisova, Irina On energy inequality for the problem on the evolution of two fluids of different types without surface tension. (English) Zbl 1320.35254 J. Math. Fluid Mech. 17, No. 1, 183-198 (2015). MSC: 35Q30 76D05 35R35 PDFBibTeX XMLCite \textit{I. Denisova}, J. Math. Fluid Mech. 17, No. 1, 183--198 (2015; Zbl 1320.35254) Full Text: DOI
Denisova, Irina V. Global \(L_{2}\)-solvability of a problem governing two-phase fluid motion without surface tension. (English) Zbl 1293.35200 Port. Math. (N.S.) 71, No. 1, 1-24 (2014). MSC: 35Q30 35R35 76D05 76D03 76T10 PDFBibTeX XMLCite \textit{I. V. Denisova}, Port. Math. (N.S.) 71, No. 1, 1--24 (2014; Zbl 1293.35200) Full Text: DOI
Feistauer, Miloslav; Sändig, Anna-Margarete Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons. (English) Zbl 1253.65193 Numer. Methods Partial Differ. Equations 28, No. 4, 1124-1151 (2012). Reviewer: Nina Shokina (Freiburg) MSC: 65N50 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{M. Feistauer} and \textit{A.-M. Sändig}, Numer. Methods Partial Differ. Equations 28, No. 4, 1124--1151 (2012; Zbl 1253.65193) Full Text: DOI
Honda, Hirotada; Tani, Atusi Small-time existence of a strong solution of primitive equations for the ocean. (English) Zbl 1270.35326 Tokyo J. Math. 35, No. 1, 97-138 (2012). Reviewer: Elena Gavrilova (Sofia) MSC: 35M10 35Q35 35R35 76D99 86A05 86A10 PDFBibTeX XMLCite \textit{H. Honda} and \textit{A. Tani}, Tokyo J. Math. 35, No. 1, 97--138 (2012; Zbl 1270.35326) Full Text: DOI Euclid
Padula, M.; Solonnikov, V. A. On the free boundary problem of magnetohydrodynamics. (English) Zbl 1304.35782 J. Math. Sci., New York 178, No. 3, 313-344 (2011) and Zap. Nauchn. Semin. POMI 385, 135-186 (2010). MSC: 35R35 76W05 PDFBibTeX XMLCite \textit{M. Padula} and \textit{V. A. Solonnikov}, J. Math. Sci., New York 178, No. 3, 313--344 (2011; Zbl 1304.35782) Full Text: DOI
Kondo, Shintaro; Tani, Atusi Initial boundary value problem for model equations of resistive drift wave turbulence. (English) Zbl 1225.35228 SIAM J. Math. Anal. 43, No. 2, 925-943 (2011). MSC: 35Q60 82D10 35K51 35K35 PDFBibTeX XMLCite \textit{S. Kondo} and \textit{A. Tani}, SIAM J. Math. Anal. 43, No. 2, 925--943 (2011; Zbl 1225.35228) Full Text: DOI
Honda, Hirotada; Tani, Atusi Small-time existence of a strong solution of primitive equations for the atmosphere. (English) Zbl 1235.35220 Adv. Math. Sci. Appl. 20, No. 2, 547-583 (2010). MSC: 35Q35 86A05 86A10 35R35 35B35 35D35 PDFBibTeX XMLCite \textit{H. Honda} and \textit{A. Tani}, Adv. Math. Sci. Appl. 20, No. 2, 547--583 (2010; Zbl 1235.35220)
Mulone, G.; Solonnikov, V. A. Linearization principle for a system of equations of mixed type. (English) Zbl 1178.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1019-1031 (2009). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 35B35 35M33 PDFBibTeX XMLCite \textit{G. Mulone} and \textit{V. A. Solonnikov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1019--1031 (2009; Zbl 1178.35061) Full Text: DOI
Kohr, M.; Wendland, W. L. Variational boundary integral equations for the Stokes system. (English) Zbl 1111.35037 Appl. Anal. 85, No. 11, 1343-1372 (2006). Reviewer: Dagmar Medková (Praha) MSC: 35Q30 76M15 65N38 76D07 76D10 PDFBibTeX XMLCite \textit{M. Kohr} and \textit{W. L. Wendland}, Appl. Anal. 85, No. 11, 1343--1372 (2006; Zbl 1111.35037) Full Text: DOI
Eminov, S. I. An orthonormal basis in Sobolev-Slobodetskii spaces on an interval. (English. Russian original) Zbl 1087.45500 Differ. Equ. 41, No. 4, 594-597 (2005); translation from Differ. Uravn. 41, No. 4, 558-560 (2005). MSC: 45E10 45J05 45L05 PDFBibTeX XMLCite \textit{S. I. Eminov}, Differ. Equ. 41, No. 4, 594--597 (2005; Zbl 1087.45500); translation from Differ. Uravn. 41, No. 4, 558--560 (2005) Full Text: DOI
Konenkov, A. N. The Cauchy problem for the heat equation in Zygmund spaces. (English. Russian original) Zbl 1141.35385 Differ. Equ. 41, No. 6, 860-872 (2005); translation from Differ. Uravn. 41, No. 6, 820-831 (2005). MSC: 35K15 46E35 46E15 PDFBibTeX XMLCite \textit{A. N. Konenkov}, Differ. Equ. 41, No. 6, 860--872 (2005; Zbl 1141.35385); translation from Differ. Uravn. 41, No. 6, 820--831 (2005) Full Text: DOI
Frolova, Elena Solvability of a free boundary problem for the Navier-Stokes equations describing the motion of viscous incompressible nonhomogeneous fluid. (English) Zbl 1078.35085 Rodrigues, José F. (ed.) et al., Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Basel: Birkhäuser (ISBN 3-7643-7165-X/hbk). Progress in Nonlinear Differential Equations and their Applications 61, 109-124 (2005). Reviewer: Milan Pokorný (Praha) MSC: 35Q30 76D05 35R35 PDFBibTeX XMLCite \textit{E. Frolova}, Prog. Nonlinear Differ. Equ. Appl. 61, 109--124 (2005; Zbl 1078.35085)
Lifanov, I. K.; Poltavskii, L. N.; Vainikko, G. M. Hypersingular integral equations and their applications. (English) Zbl 1061.45001 Differential and Integral Equations and Their Applications 4. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-415-30998-0/hbk). x, 396 p. (2004). Reviewer: Vladimir Sobolev (Samara) MSC: 45E10 65R20 76G25 76Q05 45-02 45L05 76M20 PDFBibTeX XMLCite \textit{I. K. Lifanov} et al., Hypersingular integral equations and their applications. Boca Raton, FL: Chapman \& Hall/CRC (2004; Zbl 1061.45001)
Lifanov, I. K.; Poltavskij, L. N. On the numerical solution of hypersingular and singular integral equations on the circle. (English. Russian original) Zbl 1070.65137 Differ. Equ. 39, No. 8, 1175-1197 (2003); translation from Differ. Uravn. 39, No. 8, 1115-1136 (2003). MSC: 65R20 45E10 26A33 35J05 65N38 65D32 76N15 PDFBibTeX XMLCite \textit{I. K. Lifanov} and \textit{L. N. Poltavskij}, Differ. Equ. 39, No. 8, 1175--1197 (2003; Zbl 1070.65137); translation from Differ. Uravn. 39, No. 8, 1115--1136 (2003) Full Text: DOI
Tanaka, Naoto; Tani, Atusi Surface waves for a compressible viscous fluid. (English) Zbl 1037.35061 J. Math. Fluid Mech. 5, No. 4, 303-363 (2003). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{N. Tanaka} and \textit{A. Tani}, J. Math. Fluid Mech. 5, No. 4, 303--363 (2003; Zbl 1037.35061) Full Text: DOI
Weidemaier, Peter Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed \(L_p\)-norm. (English) Zbl 1015.35036 Electron. Res. Announc. Am. Math. Soc. 8, 47-51 (2002). MSC: 35K20 35D10 46E35 PDFBibTeX XMLCite \textit{P. Weidemaier}, Electron. Res. Announc. Am. Math. Soc. 8, 47--51 (2002; Zbl 1015.35036) Full Text: DOI EuDML
Denisova, Irina V. Evolution of a closed interface between two liquids of different types. (English) Zbl 1027.35161 Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10-14, 2000. Volume II. Basel: Birkhäuser. Prog. Math. 202, 263-272 (2001). MSC: 35R35 35Q35 76N10 76D45 PDFBibTeX XMLCite \textit{I. V. Denisova}, Prog. Math. 202, 263--272 (2001; Zbl 1027.35161)
Brzeźniak, Zdisław; Elworthy, K. D. Stochastic differential equations on Banach manifolds. (English) Zbl 0965.58028 Methods Funct. Anal. Topol. 6, No. 1, 43-84 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 58J65 58D20 58D15 46E35 46E50 35R15 60H10 PDFBibTeX XMLCite \textit{Z. Brzeźniak} and \textit{K. D. Elworthy}, Methods Funct. Anal. Topol. 6, No. 1, 43--84 (2000; Zbl 0965.58028)
Zadrzyńska, E.; Zajączkowski, W. M. Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting capillary fluids. (English) Zbl 0966.35142 J. Appl. Anal. 6, No. 2, 227-250 (2000). Reviewer: Nikolai V.Krasnoschok (Donetsk) MSC: 35R35 76N10 35A05 PDFBibTeX XMLCite \textit{E. Zadrzyńska} and \textit{W. M. Zajączkowski}, J. Appl. Anal. 6, No. 2, 227--250 (2000; Zbl 0966.35142) Full Text: DOI
Zajaczkowski, W. M. On nonstationary motion of a compressible barotropic viscous capillary fluid bounded by a free surface. (English) Zbl 0813.35086 SIAM J. Math. Anal. 25, No. 1, 1-84 (1994). Reviewer: W.Velte (Würzburg) MSC: 35Q30 35R35 35A05 76N10 PDFBibTeX XMLCite \textit{W. M. Zajaczkowski}, SIAM J. Math. Anal. 25, No. 1, 1--84 (1994; Zbl 0813.35086) Full Text: DOI
Zhitarashu, N. V. Solvability of a parabolic boundary value problem in the presence of power singularities in the right sides. (Russian) Zbl 0657.35067 Mat. Issled. 92, 69-77 (1987). Reviewer: J.Danesova MSC: 35K35 35R05 46E35 PDFBibTeX XMLCite \textit{N. V. Zhitarashu}, Mat. Issled. 92, 69--77 (1987; Zbl 0657.35067) Full Text: EuDML
Spitkovskij, I. M. Factorization of several classes of semi-almost periodic matrix functions and applications to systems of convolution equations. (English. Russian original) Zbl 0584.47011 Sov. Math. 27, No. 4, 107-115 (1983); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 4(251), 88-94 (1983). Reviewer: G.López-Lagomasino MSC: 47A56 47A68 46E35 46J15 PDFBibTeX XMLCite \textit{I. M. Spitkovskij}, Sov. Math. 27, No. 4, 107--115 (1983; Zbl 0584.47011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 4(251), 88--94 (1983)
Uroev, V. M. Smoothness of solutions of nonstationary vibrating-plate equations. (English) Zbl 0467.35065 Differ. Equations 16, 1192-1197 (1981). MSC: 35L30 35B65 74H45 35L65 35A05 35B45 46E35 PDFBibTeX XMLCite \textit{V. M. Uroev}, Differ. Equations 16, 1192--1197 (1981; Zbl 0467.35065)
Kerimov, T. M. Degenerate mixed problem for a second-order elliptic equation. (English) Zbl 0466.35034 Mosc. Univ. Math. Bull. 36, No. 1, 1-5 (1981). MSC: 35J25 46E35 35B35 PDFBibTeX XMLCite \textit{T. M. Kerimov}, Mosc. Univ. Math. Bull. 36, No. 1, 1--5 (1981; Zbl 0466.35034)