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Study of Weak Solutions for a Class of Degenerate Parabolic Variational Inequalities with Variable Exponent

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The authors of this text study weak solutions to the variational inequalities with degenerate parabolic operators and symmetric structure in Sobolev spaces with variable exponent. The existence and uniqueness of… Click to show full abstract

The authors of this text study weak solutions to the variational inequalities with degenerate parabolic operators and symmetric structure in Sobolev spaces with variable exponent. The existence and uniqueness of the solutions are treated by using the penalty method and the reduction method in the weak sense. The authors also discuss the nonexistence and long-time behavior of solutions.

Keywords: study weak; variational inequalities; weak solutions; variable exponent; degenerate parabolic

Journal Title: Symmetry
Year Published: 2022

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