Two-phase transition problems for fully nonlinear parabolic equations of second order

被引：1

作者：

Milakis, E ^{[1
]}

机构：

[1] Univ Crete, Dept Math, Iraklion 71409, Crete, Greece

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2005年 / 54卷 / 06期

关键词：

free boundary problems; fully nonlinear equations; non-cylindrical domains;

D O I：

10.1512/iumj.2005.54.2623

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study an extension of a regularity theory presented by I. Athanasopoulos, L. Caffarelli and S. Salsa in [3], [4], to some fully nonlinear parabolic equations of second order. We investigate a two-phase free boundary problem in which a fully nonlinear parabolic equation is verified by the solution in the positive and the negative domain. We prove that the solution is Lipschitz up to the Lipschitz free boundary and that Lipschitz free boundaries are C-1.

引用

页码：1751 / 1768

页数：18

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