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

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

Rong-Nian Wang, Zhi-Xue Liu and Yong Zhou
Zeitschrift für Analysis und ihre Anwendungen, Vol.35(2), pp.173-180
01/01/2016
DOI: https://doi.org/10.4171/ZAA/1560

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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