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

Guosheng Zhang | Zendy; Yifu Wang | Zendy

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

Author(s) -

Guosheng Zhang,

Yifu Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/746086

Subject(s) - mathematics , nonlinear system , dirichlet distribution , diffusion , mathematical analysis , dirichlet problem , diffusion equation , boundary value problem , physics , thermodynamics , economy , quantum mechanics , economics , service (business)

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

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