Year: 2012
Author: Jinglu Gao, Bin Guo
Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 376–382
Abstract
This paper deals with the extinction of weak solutions of the initial and boundary value problem for $u_t$ = div$((|u|^σ + d_0)|∇u|^{p(x)−2}∇u)$. When the exponent belongs to different intervals, the solution has different singularity (vanishing in finite time).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19040
Communications in Mathematical Research , Vol. 28 (2012), Iss. 4 : pp. 376–382
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: nonlinear parabolic equation nonstandard growth condition $p(x)$-Laplacian operator.