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Research Article Open access CC BY 4.0

Blow-up of Solutions for a Reaction-diffusion Equation with Nonlinear Nonlocal Boundary Condition

Sen Zhou, Zuodong Yang

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 9 May 2016

10.9734/BJMCS/2016/25746

Abstract

This paper deals with a reaction-diffusion equation subject to nonlinear nonlocal boundary condition and with nonlocal reaction source. We investigate the global existence and blow up in finite time of a nonnegative solution by using a sub-super solution method.

Reaction-diffusion equation nonlocal source nonlinear nonlocal boundary condition blow-up global solution.

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