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J. N. Zhao, “Existence and Nonexistence of Solutions for ,” Journal of Mathe- matical Analysis and Applications, Vol. 172, No. 1, 1993, pp. 130-146. doi:10.1006/jmaa.1993.1012

has been cited by the following article:

• TITLE: The Role of Space Dimension on the Blow up for a Reaction-Diffusion Equation

  AUTHORS: Zhilei Liang

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

  JOURNAL NAME: Applied Mathematics, Vol.2 No.5, May 6, 2011

  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.