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A FUJITA-TYPE RESULT FOR A SEMILINEAR EQUATION IN HYPERBOLIC SPACE

Part of: Parabolic equations and systems Partial differential equations

Published online by Cambridge University Press:  25 September 2017

HUI WU
HUI WU*
Affiliation:
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, PR China email huiwu.nj@outlook.com
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Abstract

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In this paper, we study the positive solutions for a semilinear equation in hyperbolic space. Using the heat semigroup and by constructing subsolutions and supersolutions, a Fujita-type result is established.

Keywords

critical exponentblow-upglobal existence

MSC classification

Primary: 35B33: Critical exponents
Secondary: 35K15: Initial value problems for second-order parabolic equations 35K58: Semilinear parabolic equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 103 , Issue 3 , December 2017 , pp. 420 - 429
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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