Existence, uniqueness, and stabilization results for parabolic variational inequalities
Optimization and Control
2021-04-06 v1 Analysis of PDEs
Abstract
In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories. Based on a Moreau-Yosida approximation, a feedback operator is established using a finite (and uniform in the approximation index) number of actuators leading to exponential decay of given rate of the state variable. Several numerical examples are presented addressing smooth and nonsmooth obstacle functions.
Cite
@article{arxiv.2104.01413,
title = {Existence, uniqueness, and stabilization results for parabolic variational inequalities},
author = {Axel Kröner and Carlos N. Rautenberg and Sérgio S. Rodrigues},
journal= {arXiv preprint arXiv:2104.01413},
year = {2021}
}
Comments
55 subfigures