The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation ()
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.
Share and Cite:
Liang, Z. (2011) The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation.
Applied Mathematics,
2, 575-578. doi:
10.4236/am.2011.25076.
Conflicts of Interest
The authors declare no conflicts of interest.
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