A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint
Analysis of PDEs
2011-06-30 v3
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.
Keywords
Cite
@article{arxiv.1105.2682,
title = {A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint},
author = {Michal Beneš},
journal= {arXiv preprint arXiv:1105.2682},
year = {2011}
}
Comments
14 pages