The Profile of Blow-Up for a Neumann Problem of Nonlocal Nonlinear Diffusion Equation with Reaction

Rong-Nian Wang; Zhi-Xue Liu; Yong Zhou

doi:10.4171/zaa/1560

JournalszaaVol. 35, No. 2pp. 173–180

The Profile of Blow-Up for a Neumann Problem of Nonlocal Nonlinear Diffusion Equation with Reaction

Rong-Nian Wang
Shanghai Normal University, China
MathSciNet zbMATH Open
Zhi-Xue Liu
Nanchang University, China
MathSciNet zbMATH Open
Yong Zhou
Xiangtan University, Xiangtan, Hunan, China
MathSciNet ORCID zbMATH Open

Download PDF

Abstract

In this note, we consider a Neumann problem for nonlocal nonlinear diffusion equation with reaction, which may be seen as a significant generalization of the usual Neumann problem for the heat equation. For the blow-up solutions, the blow-up rate estimates and spacial localization of blow-up set are studied.

Cite this article

Rong-Nian Wang, Zhi-Xue Liu, Yong Zhou, The Profile of Blow-Up for a Neumann Problem of Nonlocal Nonlinear Diffusion Equation with Reaction. Z. Anal. Anwend. 35 (2016), no. 2, pp. 173–180

DOI 10.4171/ZAA/1560