The critical Fujita exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities

Reiri Miyamoto, Motohiro Sobajima

This paper is concerned with the existence/nonexistence of nontrivial global-in-time solutions to the Cauchy problem \begin{equation} \begin{cases}\tag{P}\partial_tu-\partial_x^2u+…