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BLOWUP FOR A DEGENERATE AND SINGULAR PARABOLIC EQUATION WITH NON-LOCAL SOURCE AND ABSORPTION*

Published online by Cambridge University Press:  25 November 2009

JUN ZHOU  and
CHUNLAI MU
JUN ZHOU
Affiliation:
School of mathematics and statistics, Southwest University, Chongqing 400715, China e-mail: zhoujun_math@hotmail.com
CHUNLAI MU*
Affiliation:
College of mathematics and physics, Chongqing University, Chongqing 400044, China e-mail: chunlaimu@yahoo.com.cn
*
†Corresponding author.
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Abstract

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This paper deals with the following degenerate and singular equation with non-local source and absorption. The existence of a unique classical non-negative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained.

Keywords

35K5535K5735K65
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 2 , May 2010 , pp. 209 - 225
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

Footnotes

*

The first author is supported by Natural Science Foundation Project of China SWU, SWU208029, the second author is supported by NNSF of China (10771226) and in part by Natural Science Foundation Project of CQ CSTC (2007BB0124).

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