Lower Bounds Estimate for the Blow-Up Time of a Slow Diffusion Equation with Nonlocal Source and Inner Absorption

Zhong Bo Fang, Rui Yang and Yan Chai

Mathematical Problems in Engineering, 2014, vol. 2014, 1-6

Abstract:

We investigate a slow diffusion equation with nonlocal source and inner absorption subject to homogeneous Dirichlet boundary condition or homogeneous Neumann boundary condition. Based on an auxiliary function method and a differential inequality technique, lower bounds for the blow-up time are given if the blow-up occurs in finite time.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:764248

DOI: 10.1155/2014/764248

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