Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions. (English) Zbl 1387.35050
Summary: In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence and uniqueness of the solutions in the weak sense are proved by using the penalty method and the reduction method.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35K35 | Initial-boundary value problems for higher-order parabolic equations |
References:
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