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

Zhong Bo Fang | Zendy; Rui Yang | Zendy; Yan Chai | Zendy

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

Author(s) -

Zhong Bo Fang,

Rui Yang,

Yan Chai

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/764248

Subject(s) - dirichlet boundary condition , neumann boundary condition , mathematical analysis , homogeneous , diffusion , mathematics , absorption (acoustics) , boundary value problem , diffusion equation , boundary (topology) , function (biology) , physics , thermodynamics , optics , economy , combinatorics , evolutionary biology , biology , economics , service (business)

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

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