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Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions

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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… Click to show full abstract

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.

Keywords: study weak; variational inequalities; weak solutions; solutions parabolic; parabolic variational; inequalities nonstandard

Journal Title: Journal of Inequalities and Applications
Year Published: 2018

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