V. A. Solonnikov, E. V. Frolova, “<nobr>$L_p$</nobr>-theory of the Stefan problem”, Zap. Nauchn. Sem. POMI, 1997, Volume 243,Pages <nobr>299

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$L_p$-theory of the Stefan problem

V. A. Solonnikov^a, E. V. Frolova^b

^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.

UDC: 517.948.34

Received: 12.12.1996