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Abstract and Applied Analysis | Vol.2012, Issue. | 2017-05-29 | Pages

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

Zhong Bo Fang,Jianyun Zhang,Su-Cheol Yi

Abstract

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.

Original Text (This is the original text for your reference.)

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

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Keywords

weight function initial boundary value problem nonlocal porous medium equation blowup rate blowup of nonnegative solutions weighted nonlocal boundary condition inner absorption

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Zhong Bo Fang,Jianyun Zhang,Su-Cheol Yi,.Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition. 2012 (),.

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