TITLE:
The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation
AUTHORS:
Zhilei Liang
KEYWORDS:
Reaction-Diffusion, Source Term, Space Dimension, Blow up
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.5,
May
6,
2011
ABSTRACT: 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.