Article citationsMore>>

Z. L. Liang, “Blow up Rate for a Porous Medium Equation with Power Nonlinearity,” Nonlinear Analysis: Theory, Methods & Applications, Vol. 73, No. 11, 2010, pp. 3507-3512. doi:10.1016/j.na.2010.06.078

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.