Abstract
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.
Citation
Kazumasa FUJIWARA. Masahiro IKEDA. Yuta WAKASUGI. "Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations." Tokyo J. Math. 43 (1) 163 - 180, June 2020. https://doi.org/10.3836/tjm/1502179300