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

Autor:	Del Pezzo, L., Ferreira, R.
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, \[ u_t=a\Delta u -b(-\Delta)^s u+u^p. \] We show that the Fujita exponent is given by the nonlocal part, $p_F=1+2s/N$. We also determinate, in some cases, the blow-up rate. Comment: pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.01577 View this record from Arxiv