Blow-up solutions for localized reaction-diffusion equations with variable exponents

Communicated by W. Sprößig This paper deals with radial solutions to localized reaction‐diffusion equations with variable exponents, subject to homogeneous Dirichlet boundary conditions. The global existence versus blow‐up criteria are studied in terms of the variable exponents. We proposed that the...

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Published inMathematical methods in the applied sciences Vol. 34; no. 14; pp. 1778 - 1788
Main Authors Liu, Bingchen, Li, Fengjie
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 30.09.2011
Wiley
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Summary:Communicated by W. Sprößig This paper deals with radial solutions to localized reaction‐diffusion equations with variable exponents, subject to homogeneous Dirichlet boundary conditions. The global existence versus blow‐up criteria are studied in terms of the variable exponents. We proposed that the maximums of variable exponents are the key clue to determine blow‐up classifications and describe blow‐up rates for positive solutions. Copyright © 2011 John Wiley & Sons, Ltd.
Bibliography:ArticleID:MMA1492
This work is supported partially by Shandong Provincial Natural Science Foundation, China (ZR2010AQ011, ZR2009AQ016) and partially by the Fundamental Research Funds for the Central Universities (10CX04041A, 09CX05004A).
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ISSN:0170-4214
1099-1476
1099-1476
DOI:10.1002/mma.1492