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A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint (1105.2682v3)
Published 13 May 2011 in math.AP
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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