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arXiv · 1105.2682

A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint

Michal Beneš
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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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Michal Beneš. 2011-05-13. A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint. https://arxiv.org/abs/1105.2682

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