%0 Journal Article
%T The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation
%A Zhilei Liang
%J Applied Mathematics
%P 575-578
%@ 2152-7393
%D 2011
%I Scientific Research Publishing
%R 10.4236/am.2011.25076
%X 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.
%K Reaction-Diffusion
%K Source Term
%K Space Dimension
%K Blow up
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=4808