Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition | Zendy

Zhong Bo Fang | Zendy; Jianyun Zhang | Zendy; Su-Cheol Yi | Zendy

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Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition

Author(s) -

Zhong Bo Fang,

Jianyun Zhang,

Su-Cheol Yi

Publication year - 2012

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 - 10.1155/2012/326527

Subject(s) - mathematics , boundary value problem , work (physics) , absorption (acoustics) , mathematical analysis , porous medium , function (biology) , boundary (topology) , porosity , weight function , thermodynamics , materials science , physics , composite material , evolutionary biology , biology

This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition. We obtain the roles of weight function on whether determining the blowup of nonnegative solutions or not and establish the precise blow-up rate estimates under some suitable condition

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