THE EXISTENCE AND THE NON-EXISTENCE OF GLOBAL SOLUTIONS OF A FREE BOUNDARY PROBLEM

• 来源期刊: 偏微分方程(英文版)
• 学科: 数学
• 关键词: Free boundary problem global solution existence non-existence.
• 年，卷（期）: 2004,（2）
• 页码范围: 152-162
• 页数: 11页
• 分类号: O175.26.
• 语种: 英文

摘要

We study a free boundary problem of parabolic equations with a pos-itive parameter τ included in the coefficient of the derivative with respect to the timevariable t. This problem arises from some reaction-diffusion system. We prove that, ifτ is large enough, the solution exists for 0 ＜ t ＜ +∞; while, if τ is small enough, thesolution exists only in finite time.