A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint |
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Authors: | Michal Beneš |
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Institution: | 1. Czech Technical University in Prague, Thákurova 7, 16629, Prague 6, Czech Republic
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Abstract: | We prove the existence and uniqueness of the solution to the doubly nonlinear parabolic systems with mixed boundary conditions. Due to the unilateral constraint the problem comes as a variational inequality. We apply the penalty method and Gronwall’s technique to prove the existence and uniqueness of the variational solution. |
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