The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation

• 作者: Zhilei Liang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: REACTION-DIFFUSION Source TERM Space Dimension BLOW up
• 年，卷（期）: 2011,（5）
• 页码范围: 575-578
• 页数: 4页
• 分类号: O1

摘要

This paper deals with the doubly degenerate reaction-di?usion equation where , , and B(0,1) denotes a unit ball in RN with the center in origin. We prove that the blow up phenomenon can be restrained if the space dimension N is taken su?ciently large. Moreover, the critical condition guaranteeing the absence (or occurrence) of the blow up is achieved.