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A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint

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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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  1. Czech Technical University in Prague, Thákurova 7, 16629, Prague 6, Czech Republic

    Michal Beneš

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  1. Michal Beneš
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Correspondence to Michal Beneš.

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Beneš, M. A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint. Results. Math. 63, 47–62 (2013). https://doi.org/10.1007/s00025-011-0160-7

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  • DOI: https://doi.org/10.1007/s00025-011-0160-7

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