The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation
Zhilei Liang
DOI: 10.4236/am.2011.25076   PDF    HTML     6,046 Downloads   9,863 Views   Citations


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.

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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.

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The authors declare no conflicts of interest.


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