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D. Andreucci and A. F. Tedeev, “Universal Bounds at the Blow-Up Time for Nonlinear Parabolic Equation,” Advances in Differential Equations, Vol. 10, No. 1, 2005, pp. 89-120.

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.