roles of weight functions to a nonlocal porous medium equation with inner absorption and nonlocal boundary condition
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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
science and technology of advanced materials 2012 Vol. 2012 pp. -
128
fang2012abstractroles

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.

Keywords

mathematics

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DOI:
10.1155/2012/326527
URL:
http://dx.doi.org/10.1155/2012/326527

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ID: 155155
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