Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder’s estimates for a degenerate parabolic problem with dynamic boundary conditions-Reference-Cited by-同舟云学术

Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder’s estimates for a degenerate parabolic problem with dynamic boundary conditions

Published:2014-07-16 Issue:2 Volume:22 Page:185-237
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Degtyarev S. P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00030-014-0280-3.pdf

Reference59 articles.

1. Meirmanov A.M.: On the classical solution of the multidimensional Stefan problem for quasilinear parabolic equations. Math. USSR Sb. 40(2), 157–178 (1981)

2. Hanzawa E.-I.: Classical solutions of the Stefan problem. Tohoku Math. J. 33, 297–335 (1981)

3. Bazalii B.V., Degtyarev S.P.: On classical solvability of the multidimensional Stefan problem for convective motion of a viscous incompressible fluid. Math. USSR Sb. 60(1), 1–17 (1988)

4. Radkevich E.V.: On conditions for the existence of a classical solution of the Stefan contact problem Math. USSR Sb. 69(2), 497–525 (1991)

5. Borodin M.A.: Existence of the global classical solution for a two-phase Stefan problem. SIAM J. Math. Anal. 30(6), 1264–1281 (1999)

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