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Critical extinction and blow-up exponents for fast diffusive polytropic filtration equation with sources

Part of: Parabolic equations and systems Partial differential equations

Published online by Cambridge University Press:  28 May 2009

Chunhua Jin ,
Jingxue Yin  and
Yuanyuan Ke
Chunhua Jin
Affiliation:
Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China; Email: (keyy@jlu.edu.cn)
Jingxue Yin
Affiliation:
Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China; Email: (keyy@jlu.edu.cn)
Yuanyuan Ke
Affiliation:
Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China; Email: (keyy@jlu.edu.cn)
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Abstract

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This paper is mainly concerned with the critical extinction and blow-up exponents for the homogeneous Dirichlet boundary-value problem of the fast diffusive polytropic filtration equation with reaction sources.

Keywords

critical exponentsextinctionblow-upfast diffusive polytropic filtration equation

MSC classification

Secondary: 35B33: Critical exponents 35K55: Nonlinear parabolic equations 35K15: Initial value problems for second-order parabolic equations 35K20: Initial-boundary value problems for second-order parabolic equations
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 2 , June 2009 , pp. 419 - 444
Copyright
Copyright © Edinburgh Mathematical Society 2009