Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
arXiv:2408.01577 · doi:10.1016/j.na.2025.113761
Abstract
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 part, . We also determinate, in some cases, the blow-up rate.
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