On a fast diffusion equation with source

Jong Shenq Guo, Yung Jen L. Guo

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26 Citations (Scopus)

Abstract

We study in this paper the positive solution of the Cauchy problem for a fast diffusion equation with source. We derive a secondary critical exponent of the behavior of the initial value at infinity for the existence of global (in time) and nonglobal solutions of the Cauchy problem. Furthermore, the large time behaviors of those global solutions are also studied.

Original languageEnglish
Pages (from-to)571-579
Number of pages9
JournalTohoku Mathematical Journal
Volume53
Issue number4
DOIs
Publication statusPublished - 2001 Jan 1

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Keywords

  • Critical exponent
  • Fast diffusion equation
  • Source

ASJC Scopus subject areas

  • Mathematics(all)

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