Blowup analysis for a nonlocal diffusion equation with reaction and absorption
type: Item
instance of: scholarly article
title: Blowup analysis for a nonlocal diffusion equation with reaction and absorption
zbMATH Open document ID: 1251.35037
DOI: 10.1155/2012/648067
author: Yulan Wang
author: Zhaoyin Xiang
author: Jinsong Hu
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We investigate a nonlocal reaction-diffusion equation with absorption under Neumann boundary. We obtain optimal conditions on the exponents of the reaction and absorption terms for the existence of solutions blowing up in finite time, or for the global existence and boundedness of all solutions. For the blowup solutions, we also study the blowup rate estimates and the localization of blowup set. Moreover, we show some numerical experiments which illustrate our results.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6106275
zbMATH Keywords: nonlocal reaction-diffusion equation
zbMATH Keywords: von Neumann boundary condition
Wikidata QID: Q58906328
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/648067
OpenAlex ID: W2162720363
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description: scientific article; zbMATH DE number 6106275