Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation

L. Del Pezzo, R. Ferreira

In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, \[ u_t=aΔu -b(-Δ)^s u+u^p. \] We show that the Fujita exponent is given by the nonlocal…