Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations
Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations
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DOI：
10.3836/tjm/1502179300
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发表时间：
2020-06
影响因子：
0.6
通讯作者：
K. Fujiwara;M. Ikeda;Yuta Wakasugi
中科院分区：
文献类型：
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作者：
K. Fujiwara;M. Ikeda;Yuta Wakasugi
我们引入了一种简单的方法来分析常微分不等式组解的爆炸，并将其应用于研究半线性热方程弱耦合系统解的爆炸。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。
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.