Zhongqing Li, Baisheng Yan, Wenjie Gao
Abstract:
This article is devoted to the study of the existence of weak solutions
to an initial and boundary value problem for a parabolic p(x)-Laplace
equation with convection term. Using the De Giorgi iteration technique,
the authors establish the critical a priori L-infinity estimates and thus
prove the existence of weak solutions.
Submitted November 28, 2014. Published February 17, 2015.
Math Subject Classifications: 35K65, 35K55, 46E35.
Key Words: Parabolic p(x)-Laplace equation; convection term;
De Giorgi iteration; L-infinity estimates.
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Zhongqing Li College of Mathematics, Jilin University Changchun 130012, China email: zqli_jlu@163.com |
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Baisheng Yan College of Mathematics, Jilin University Changchun 130012, China email: yan@math.msu.edu |
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Wenjie Gao College of Mathematics, Jilin University Changchun 130012, China email: wjgao@jlu.edu.cn |
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