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 in | Mathematical methods in the applied sciences Vol. 34; no. 14; pp. 1778 - 1788 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Chichester, UK
John Wiley & Sons, Ltd
30.09.2011
Wiley |
Subjects | |
Online Access | Get full text |
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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. |
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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). ark:/67375/WNG-C4PTLDJN-X istex:DFFACDA1E0D6A74199EF5462284D728B8B509DA4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0170-4214 1099-1476 1099-1476 |
DOI: | 10.1002/mma.1492 |