Translator Disclaimer
1997 Regularity for nonisotropic two-phase problems with Lipschitz free boundaries
Mikhail Feldman
Differential Integral Equations 10(6): 1171-1179 (1997).

Abstract

We study a 2-phase free boundary problem, in which the positive and negative parts of a solution satisfy two different elliptic equations, and a condition, involving normal derivatives from positive and negative sides holds on the free boundary in a weak sense. We show that if the free boundary is locally a graph of Lipschitz function, then it is $C^{1,\alpha} $ smooth. This is an extension of the result obtained by L.Caffarelli in the case when the positive and negative parts of a solution satisfy the same elliptic equation.

Citation

Download Citation

Mikhail Feldman. "Regularity for nonisotropic two-phase problems with Lipschitz free boundaries." Differential Integral Equations 10 (6) 1171 - 1179, 1997.

Information

Published: 1997
First available in Project Euclid: 1 May 2013

zbMATH: 0940.35047
MathSciNet: MR1608061

Subjects:
Primary: 35R35
Secondary: 35J15, 35R05, 80A22

Rights: Copyright © 1997 Khayyam Publishing, Inc.

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.10 • No. 6 • 1997
Back to Top