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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 299–323
(Mi znsl506)
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This article is cited in 13 scientific papers (total in 14 papers)
$L_p$-theory of the Stefan problem
V. A. Solonnikova, E. V. Frolovab a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State Electrotechnical University
Abstract:
Local solvability of the one-phase Stefan problem is established in anisotropic Sobolev spaces. There is no loss of regularity. Hanzawa transformation of the Stefan problem to a problem in a domain with a fixed boundary is modified.
Received: 12.12.1996
Citation:
V. A. Solonnikov, E. V. Frolova, “$L_p$-theory of the Stefan problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 299–323; J. Math. Sci. (New York), 99:1 (2000), 989–1006
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https://www.mathnet.ru/eng/znsl506 https://www.mathnet.ru/eng/znsl/v243/p299
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Abstract page: | 267 | Full-text PDF : | 104 |
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