Life Span of Positive Solutions for the Cauchy Problem for the Parabolic Equations

Yusuke Yamauchi

International Journal of Differential Equations, 2012, vol. 2012, 1-16

Abstract:

Since 1960's, the blow-up phenomena for the Fujita type parabolic equation have been investigated by many researchers. In this survey paper, we discuss various results on the life span of positive solutions for several superlinear parabolic problems. In the last section, we introduce a recent result by the author.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:417261

DOI: 10.1155/2012/417261

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