On a fast diffusion equation with source

Jong Shenq Guo, Yung Jen L. Guo

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2001


  • Critical exponent
  • Fast diffusion equation
  • Source

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'On a fast diffusion equation with source'. Together they form a unique fingerprint.

Cite this