On the continuity of the free boundary in problems of type div(a(x)∇ u) = - (h(x)x(u))x1

S. Challal; A. Lyaghfouri

doi:10.1016/j.na.2005.02.115

On the continuity of the free boundary in problems of type div(a(x)∇ u) = - (h(x)x(u))_x1

S. Challal, A. Lyaghfouri

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

11 Citations (Scopus)

Abstract

We consider a class of two-dimensional free boundary problems including the heterogeneous dam, lubrication and aluminium electrolysis problems. We prove the Lipschitz continuity of the solution and the continuity of the free boundary.

Original language	English
Pages (from-to)	283-300
Number of pages	18
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	62
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2005.02.115
Publication status	Published - Jul 15 2005
Externally published	Yes

Keywords

Barrier function
Continuity
Free boundary
Lipschitz continuity

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2005.02.115

Cite this

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title = "On the continuity of the free boundary in problems of type div(a(x)∇ u) = - (h(x)x(u))x1",

abstract = "We consider a class of two-dimensional free boundary problems including the heterogeneous dam, lubrication and aluminium electrolysis problems. We prove the Lipschitz continuity of the solution and the continuity of the free boundary.",

keywords = "Barrier function, Continuity, Free boundary, Lipschitz continuity",

author = "S. Challal and A. Lyaghfouri",

year = "2005",

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AU - Challal, S.

AU - Lyaghfouri, A.

PY - 2005/7/15

Y1 - 2005/7/15

N2 - We consider a class of two-dimensional free boundary problems including the heterogeneous dam, lubrication and aluminium electrolysis problems. We prove the Lipschitz continuity of the solution and the continuity of the free boundary.

AB - We consider a class of two-dimensional free boundary problems including the heterogeneous dam, lubrication and aluminium electrolysis problems. We prove the Lipschitz continuity of the solution and the continuity of the free boundary.

KW - Barrier function

KW - Continuity

KW - Free boundary

KW - Lipschitz continuity

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