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June 2020 Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations
Kazumasa FUJIWARA, Masahiro IKEDA, Yuta WAKASUGI
Tokyo J. Math. 43(1): 163-180 (June 2020). DOI: 10.3836/tjm/1502179300

Abstract

We introduce a direct method to analyze the blow-up of solutions to systems of ordinary differential inequalities, and apply it to study the blow-up of solutions to a weakly coupled system of semilinear heat equations. In particular, we give upper and lower estimates of the lifespan of the solution in the subcritical case.

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Kazumasa FUJIWARA. Masahiro IKEDA. Yuta WAKASUGI. "Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations." Tokyo J. Math. 43 (1) 163 - 180, June 2020. https://doi.org/10.3836/tjm/1502179300

Information

Published: June 2020
First available in Project Euclid: 24 August 2019

zbMATH: 07227184
MathSciNet: MR4121792
Digital Object Identifier: 10.3836/tjm/1502179300

Subjects:
Primary: 35K05
Secondary: 35B44

Rights: Copyright © 2020 Publication Committee for the Tokyo Journal of Mathematics

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Vol.43 • No. 1 • June 2020
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