一类弱耦合半线性热方程组解的寿命

Pub Date : 2020-06-01 DOI:10.3836/TJM/1502179300

K. Fujiwara, M. Ikeda, Yuta Wakasugi

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引用次数: 4

摘要

我们介绍了一种分析常微分不等式组解爆破的直接方法，并将其应用于研究一个弱耦合的半线性热方程组解爆破。特别是，我们给出了亚临界情况下溶液寿命的上限和下限估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations

We introduce a straightforward 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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