一类弱耦合半线性热方程组解的寿命

IF 0.4 4区数学 Q4 MATHEMATICS

Tokyo Journal of Mathematics 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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来源期刊

Tokyo Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, in 2005 Tokai University, and in 2013 Tokyo University of Science, joined as supporting institutions.