On a fast diffusion equation with source

Jong Shenq Guo; Yung Jen L. Guo

doi:10.2748/tmj/1113247801

On a fast diffusion equation with source

Jong Shenq Guo, Yung Jen L. Guo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

30 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 language	English
Pages (from-to)	571-579
Number of pages	9
Journal	Tohoku Mathematical Journal
Volume	53
Issue number	4
DOIs	https://doi.org/10.2748/tmj/1113247801
Publication status	Published - 2001

Keywords

Critical exponent
Fast diffusion equation
Source

ASJC Scopus subject areas

General Mathematics

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10.2748/tmj/1113247801

Cite this

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title = "On a fast diffusion equation with source",

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.",

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AB - 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.

KW - Critical exponent

KW - Fast diffusion equation

KW - Source

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On a fast diffusion equation with source

Abstract

Keywords

ASJC Scopus subject areas

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