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July 2012 Existence of global solutions in time for reaction-diffusion systems with inhomogeneous terms in cones
Takefumi Igarashi, Noriaki Umeda
Hiroshima Math. J. 42(2): 267-291 (July 2012). DOI: 10.32917/hmj/1345467074

Abstract

We consider nonnegative solutions of the initial-boundary value problems in cone domains for the reaction-diffusion systems with inhomogeneous terms dependent on space-time coordinates. In this paper we show the condition for the existence of global solutions. Our conditions for the global existence are optimal in view of our nonexistence results in 2009.

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Takefumi Igarashi. Noriaki Umeda. "Existence of global solutions in time for reaction-diffusion systems with inhomogeneous terms in cones." Hiroshima Math. J. 42 (2) 267 - 291, July 2012. https://doi.org/10.32917/hmj/1345467074

Information

Published: July 2012
First available in Project Euclid: 20 August 2012

zbMATH: 1255.35133
MathSciNet: MR2978306
Digital Object Identifier: 10.32917/hmj/1345467074

Subjects:
Primary: 35K45 , 35K57

Keywords: cone , global existence , inhomogeneous term , Reaction-diffusion

Rights: Copyright © 2012 Hiroshima University, Mathematics Program

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Vol.42 • No. 2 • July 2012
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