Non-simultaneous blowup in heat equations with nonstandard growth conditions

This paper cares about blowup solutions for a system of n-componential heat equations coupled via localized reactions and with variable exponents. The criteria for non-simultaneous and simultaneous blowup are established for radial solutions with or without assumptions on initial data, including the...

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Bibliographic Details
Published in:Journal of Differential Equations 2012-04, Vol.252 (8), p.4481-4502
Main Authors: Liu, Bingchen, Li, Fengjie
Format: Article
Language:English
Subjects:
n components
Non-simultaneous blowup
Variable exponent
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Summary:This paper cares about blowup solutions for a system of n-componential heat equations coupled via localized reactions and with variable exponents. The criteria for non-simultaneous and simultaneous blowup are established for radial solutions with or without assumptions on initial data, including the existence of non-simultaneous blowup for n components; any blowup must be simultaneous or non-simultaneous.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2012.01.001