A note on lifespan estimates for higher-order parabolic equations

Nurdaulet N. Tobakhanov, Berikbol T. Torebek

We investigate the lifespan of solutions to the higher-order semilinear parabolic equation $$u_t+(-\hat{I}”{)}^{m}u=|u{|}^p,x\in {\mathbb{R}}^n,t>0$$ with initial data. We focus on th…