AM  Vol.2 No.5 , May 2011
The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation
Author(s) Zhilei Liang
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.

Cite this paper
nullZ. Liang, "The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation," Applied Mathematics, Vol. 2 No. 5, 2011, pp. 575-578. doi: 10.4236/am.2011.25076.
References
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