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arXiv:1105.2682 [math.AP]AbstractReferencesReviewsResources

A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint

Michal Beneš

Published 2011-05-13, updated 2011-06-29Version 3

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.

Comments: 14 pages
Categories: math.AP
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