Regularity of one-phase stefan problem near lipschitz initial data

Sunhi Choi; Inwon C. Kim

doi:10.1353/ajm.2007.0008

Regularity of one-phase stefan problem near lipschitz initial data

Sunhi Choi, Inwon C. Kim

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper we show that, starting from Lipschitz initial free boundary with small Lipschitz constant, the solution of the one-phase Stefan problem (ST) immediately regularizes and is smooth in space and time, for a small positive time.

Original language	English (US)
Pages (from-to)	1693-1727
Number of pages	35
Journal	American Journal of Mathematics
Volume	132
Issue number	6
DOIs	https://doi.org/10.1353/ajm.2007.0008
State	Published - Dec 2010

ASJC Scopus subject areas

General Mathematics

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abstract = "In this paper we show that, starting from Lipschitz initial free boundary with small Lipschitz constant, the solution of the one-phase Stefan problem (ST) immediately regularizes and is smooth in space and time, for a small positive time.",

author = "Sunhi Choi and Kim, {Inwon C.}",

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Regularity of one-phase stefan problem near lipschitz initial data

Abstract

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