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http://dx.doi.org/10.14317/jami.2013.285

BLOWUP PROPERTIES FOR PARABOLIC EQUATIONS COUPLED VIA NON-STANDARD GROWTH SOURCES  

Liu, Bingchen (College of Science, China University of Petroleum)
Hong, Zhenzhen (College of Science, China University of Petroleum)
Publication Information
Journal of applied mathematics & informatics / v.31, no.1_2, 2013 , pp. 285-297 More about this Journal
Abstract
This paper deals with parabolic equations coupled via nonstandard growth sources, subject to homogeneous Dirichlet boundary conditions. Three kinds of necessary and sufficient conditions are obtained, which determine the complete classifications for non-simultaneous and simultaneous blowup phenomena. Moreover, blowup rates are given.
Keywords
non-simultaneous blowup; simultaneous blowup; blowup rate; non-standard growth sources;
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