A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint

Details A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint

2011-05-13

arxiv.org/abs/1105.2682v3

Mathematics

Analysis of PDEs

14 pages

Scientific paper

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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