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The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation
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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.
KeywordsReaction-DiffusionSource TermSpace DimensionBlow up
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