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Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions

Extinction of Weak Solutions for Nonlinear Parabolic Equations with Nonstandard Growth Conditions

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.

Author Details

Jinglu Gao

Bin Guo