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

  • Zhi-Xue Liu

    Nanchang University, China

  • Yong Zhou

    Xiangtan University, Xiangtan, Hunan, China
The Profile of Blow-Up for a Neumann Problem of Nonlocal Nonlinear Diffusion Equation with Reaction cover
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