Holder continuity of discrete Morse flows to the Alt-Caffarelli variational problem generating free boundaries

被引：4

作者：

Yamaura, Yoshihiko ^{[1
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Setagaya Ku, Tokyo 1568550, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 18期

关键词：

Discrete Morse flows; Free boundary problem;

D O I：

10.1016/j.na.2011.07.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper shows Holder continuity of discrete Morse flows to a regularized Alt-Caffarelli variational functional generating free boundaries; the continuity is uniform with respect to the discrete Morse flows and the regularizations. The uniformity enables to construct Morse flows to the Alt-Caffarelli functional, which shall be dealt with in another paper. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：7168 / 7183

页数：16