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Bibliographic Details
Main Authors:	Del Pezzo, L., Ferreira, R.
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2408.01577
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author	Del Pezzo, L. Ferreira, R.
author_facet	Del Pezzo, L. Ferreira, R.
contents	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, $p_F=1+2s/N$. We also determinate, in some cases, the blow-up rate.
format	Preprint
id	arxiv_https___arxiv_org_abs_2408_01577
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation Del Pezzo, L. Ferreira, R. Analysis of PDEs 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, $p_F=1+2s/N$. We also determinate, in some cases, the blow-up rate.
title	Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
topic	Analysis of PDEs
url	https://arxiv.org/abs/2408.01577

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