Mingqi Xiang, Yongqiang Fu, Binlin Zhang
Abstract:
In this article, we study a class of evolution variational inequalities
with p(x,t)-growth conditions on bounded domains. By means of the penalty
method and Galerkin's approximation, we obtain the existence of weak solutions.
Moreover, the boundedness of weak solutions is also investigated by applying
Moser's iterative method.
Submitted March 9, 2015. Published June 22, 2015.
Math Subject Classifications: 35K86, 35R35, 35D30.
Key Words: Evolution variational inequality; variable exponent space;
penalty method.
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Mingqi Xiang College of Science Civil Aviation University of China Tianjin 300300, China email: xiangmingqi_hit@163.com |
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Yongqiang Fu Department of Mathematics Harbin Institute of Technology Harbin 150001, China email: fuyongqiang@hit.edu.cn |
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Binlin Zhang Department of Mathematics Heilongjiang Institute of Technology Harbin 150050, China email: zhangbinlin2012@163.com |
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