This publication is cited in the following articles:
Giusy Mazzone, “Local well-posedness of the equations governing the motion of a fluid-filled elastic solid”, Res Math Sci, 12:4 (2025)
Shibata Y. Zajaczkowski W.M., “On Local Solutions to a Free Boundary Problem For Incompressible Viscous Magnetohydrodynamics in the l-P-Approach”, Diss. Math., 2021
Vsevolod Alexeevich Solonnikov, Irina Vladimirovna Denisova, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, 1
Vsevolod Alexeevich Solonnikov, Irina Vladimirovna Denisova, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, 1135
Vsevolod Alexeevich Solonnikov, Irina Vlad. Denisova, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2017, 1
Zajaczkowski W.M., “Nonstationary Stokes System in Anisotropic Sobolev Spaces”, Math. Meth. Appl. Sci., 38:12 (2015), 2466–2478
V. A. Solonnikov, “L p -Theory of the Problem of Motion of Two Incompressible Capillary Fluids in a Container”, J Math Sci, 198:6 (2014), 761
Matthias Köhne, Lp-Theory for Incompressible Newtonian Flows, 2013, 35
Dieter Bothe, Matthias Köhne, Jan Prüss, “On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows”, SIAM J. Math. Anal., 45:6 (2013), 3768
V. A. Solonnikov, “$L_p$-estimates of solutions of a linear problem arising in magnetohydrodynamics”, St. Petersburg Math. J., 23:1 (2012), 161–177
V. A. Solonnikov, “On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator”, Russian Math. Surveys, 58:2 (2003), 331–365
Solonnikov V.A., “Lectures on evolution free boundary problems: Classical solutions”, Mathematical Aspects of Evolving Interfaces, Lecture Notes in Mathematics, 1812, 2003, 123–175
Alexander Kozhevnikov, Olga Lepsky, “Power series solutions to basic stationary boundary value problems of elasticity”, Integr equ oper theory, 31:4 (1998), 449
Naoto TANAKA, “Two-phase free boundary problem for viscous incompressible thermo-capillary convection”, Jpn. j. math, 21:1 (1995), 1
G. Grubb, V. A. Solonnikov, “Reduction of the fundamental initial-boundary-value problems for Stokes equations to initial-boundary-value problems for parabolic systems of pseudodifferential equations”, J Math Sci, 49:5 (1990), 1140
V. A. Solonnikov, “Unsteady motion of a finite mass of fluid, bounded by a free surface”, J Math Sci, 40:5 (1988), 672
B. V. Bazalii, S. P. Degtyarev, “On classical solvability of the multidimensional Stefan problem for convective motion of a viscous incompressible fluid”, Math. USSR-Sb., 60:1 (1988), 1–17
V. A. Solonnikov, “On the transient motion of an isolated volume of viscous incompressible fluid”, Math. USSR-Izv., 31:2 (1988), 381–405
G. Allain, “Small-time existence for the Navier-Stokes equations with a free surface”, Appl Math Optim, 16:1 (1987), 37
I. Sh. Mogilevskii, “On a boundary value problem for the time-dependent Stokes system with general boundary conditions”, Math. USSR-Izv., 28:1 (1987), 37–66
Geneviève Allain, “Un problème de Navier-Stokes avec surface libre et tension superficielle”, Annales de la Faculté des sciences de Toulouse : Mathématiques, 7:1 (1985), 29
J. T. Beale, “Large-time regularity of viscous surface waves”, Arch. Rational Mech. Anal., 84:4 (1984), 307
Michael Renardy, “Local existence theorems for the first and second initial-boundary value problems for a weakly non-newtonian fluid”, Arch. Rational Mech. Anal., 83:3 (1983), 229
J. Thomas Beale, “The initial value problem for the navier‐stokes equations with a free surface”, Comm Pure Appl Math, 34:3 (1981), 359
V. A. Solonnikov, “Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface”, Math. USSR-Izv., 11:6 (1977), 1323–1358