Author(s)

Zhilei Liang

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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.

Reaction-Diffusion, Source Term, Space Dimension, Blow up

Z. 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.