Blowup for Nonlocal Nonlinear Diffusion Equations with Dirichlet Condition and a Source

Guosheng Zhang and Yifu Wang

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

This paper is concerned with a nonlocal nonlinear diffusion equation with Dirichlet boundary condition and a source , , , , , , and , , which is analogous to the local porous medium equation. First, we prove the existence and uniqueness of the solution as well as the validity of a comparison principle. Next, we discuss the blowup phenomena of the solution to this problem. Finally, we discuss the blowup rates and sets of the solution.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:746086

DOI: 10.1155/2013/746086

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