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

被引：4

作者：

Fujiwara, Kazumasa ^{[1
]}

Ikeda, Masahiro ^{[2
,3
]}

Wakasugi, Yuta ^{[4
]}

机构：

[1] Scuola Normale Super Pisa, Ctr Ric Matemat Ennio De Giorgi, Piazza Cavalieri 3, I-56126 Pisa, Italy

[2] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, 3-14-1 Hiyoshi, Yokohama, Kanagawa 2238522, Japan

[3] RIKEN, Ctr Adv Intelligence Project, Wako, Saitama, Japan

[4] Ehime Univ, Grad Sch Sci & Engn, Dept Engn Prod & Environm, 3 Bunkyo Cho, Matsuyama, Ehime 7908577, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2020年 / 43卷 / 01期

关键词：

semilinear heat equation; weakly coupled system; lifespan; BLOW-UP RATE; GLOBAL EXISTENCE; NONEXISTENCE;

D O I：

10.3836/tjm/1502179300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：163 / 180

页数：18

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