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Applicable Analysis
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Volume 93, 2014 - Issue 3
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Articles

Critical Fujita curve for a semilinear parabolic system with time-weighted sources

, &
Pages 597-605 | Received 24 Apr 2012, Accepted 04 Oct 2012, Published online: 24 May 2013
 

Abstract

This paper studies the Fujita phenomena for the Cauchy problem to semilinear parabolic equations coupled via the time-weighted sources . The critical curve is determined for a wider range of parameters, where with . In particular, the decay cases of and are also included.

AMS Subject Classifications:

Acknowledgments

Supported by the National Natural Science Foundation of China (11171048). The second author is also partially supported by the Shanghai Postdoctoral Sustentation Fund of China (13R21412600) with the current address: Center for PDE, East China Normal University, Shanghai, China.

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