Life span of positive solutions for the Cauchy problem for the parabolic equations (Q446342)

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scientific article; zbMATH DE number 6078083
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Life span of positive solutions for the Cauchy problem for the parabolic equations
scientific article; zbMATH DE number 6078083

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    Life span of positive solutions for the Cauchy problem for the parabolic equations (English)
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    6 September 2012
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    Summary: 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 [Methods Appl. Anal. 13, No. 4, 337--349 (2006; Zbl 1157.35054)].
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    Fujita type parabolic equation
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    superlinear parabolic problems
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