Blow-up rate for the subcritical semilinear heat equation in non-convex domains

Hideyuki Miura, Jin Takahashi, Erbol Zhanpeisov

We consider the semilinear heat equation $u_t=\Delta u+|u{|}^{p-1}u$ in possibly non-convex and unbounded domains. Our main result shows the nonexistence of type II blow-up for possibly s…