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arXiv · 1712.06853

Revisit on the blow-up rate of solutions for a weakly coupled system of semilinear heat equations in the subcritical case

Kazumasa Fujiwara·Masahiro Ikeda·Yuta Wakasugi
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Abstract

We introduce a straightforward method to analyze the blow-up of systems of ordinary differential inequalities, and apply it to study the blow- up of solutions to a weakly coupled system of semilinear heat equations. We prove that the solution blows up in a finite time under the subcritical condition. Moreover, we give estimates of lifespan of the solution and lower estimates of the blow-up rate for a localized average of each component.

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Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi. 2017-12-19. Revisit on the blow-up rate of solutions for a weakly coupled system of semilinear heat equations in the subcritical case. https://arxiv.org/abs/1712.06853

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