Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption
Articles
Jiashan Zheng
Ludong University, China
Published 2016-11-25
https://doi.org/10.15388/NA.2016.5.3
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Keywords

nonlocal reaction-diffusion
blow-up rate
critical exponents

How to Cite

Zheng, J. (2016) “Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption”, Nonlinear Analysis: Modelling and Control, 21(5), pp. 600–613. doi:10.15388/NA.2016.5.3.

Abstract

This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions. We investigate the critical blow-up exponents of the problem by constructing adequate supersolutions and subsolutions. Moreover, we show that the blowup rate is the same as the corresponding ODE under the appropriate hypotheses.

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