G. I. Bizhanova, V. A. Solonnikov, “On the solvability of an initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space of functions”, Algebra i Analiz, 5:1 (1993), 109–142; St. Petersburg Math. J., 5:1 (1994), 97

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Algebra i Analiz, 1993, Volume 5, Issue 1, Pages 109–142 (Mi aa367)

This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

On the solvability of an initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space of functions

G. I. Bizhanova, V. A. Solonnikov

Full-text PDF (1922 kB) Citations (9)

Received: 24.06.1992

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: G. I. Bizhanova, V. A. Solonnikov, “On the solvability of an initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space of functions”, Algebra i Analiz, 5:1 (1993), 109–142; St. Petersburg Math. J., 5:1 (1994), 97–124

Citation in format AMSBIB

\Bibitem{BizSol93}

\by G.~I.~Bizhanova, V.~A.~Solonnikov

\paper On the solvability of an initial-boundary value problem for a~second-order parabolic equation with a~time derivative in the boundary condition in a~weighted H\"older space of functions

\jour Algebra i Analiz

\yr 1993

\vol 5

\issue 1

\pages 109--142

\mathnet{http://mi.mathnet.ru/aa367}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1220491}

\zmath{https://zbmath.org/?q=an:0805.35043}

\transl

\jour St. Petersburg Math. J.

\yr 1994

\vol 5

\issue 1

\pages 97--124

Linking options:

https://www.mathnet.ru/eng/aa367

https://www.mathnet.ru/eng/aa/v5/i1/p109

This publication is cited in the following 9 articles:

R. M. Dzhafarov, N. V. Krasnoshchek, “The Cauchy problem for the fractional diffusion equation in a weighted Hölder space”, Siberian Math. J., 59:6 (2018), 1034–1050
G. I. Bizhanova, “Solution in the Hölder spaces of the free boundary problems arising in combustion theory”, St. Petersburg Math. J., 27:2 (2016), 207–235
I. V. Denisova, K. I. Pileckas, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Solonnikov's jubilee”, J. Math. Sci. (N. Y.), 159:4 (2009), 385–390
V. A. Solonnikov, E. V. Frolova, “On the justification of the quasistationary approximation for the Stefan problem”, J. Math. Sci. (N. Y.), 152:5 (2008), 741–768
V. A. Solonnikov, E. V. Frolova, “Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero”, J. Math. Sci. (N. Y.), 143:2 (2007), 2987–3003
I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee”, J. Math. Sci. (N. Y.), 130:4 (2005), 4775–4779
Solonnikov V.A., “Lectures on evolution free boundary problems: Classical solutions”, Mathematical Aspects of Evolving Interfaces, Lecture Notes in Mathematics, 1812, 2003, 123–175
Rodrigues, JF, “On a parabolic system with time derivative in the boundary conditions and related free boundary problems”, Mathematische Annalen, 315:1 (1999), 61
Koch, H, “Classical solutions to phase transition problems are smooth”, Communications in Partial Differential Equations, 23:3–4 (1998), 389

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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