Existence, uniqueness, and stabilization results for parabolic variational inequalities

Autor:	Kr��ner, Axel, Rautenberg, Carlos N., Rodrigues, S��rgio S.
Rok vydání:	2021
Předmět:	Exponential stabilization Mathematics - Analysis of PDEs Oblique projection feedback Optimization and Control (math.OC) Moreau-Yosida approximation FOS: Mathematics Parabolic variational inequalities 35K85 93D15 Mathematics - Optimization and Control Analysis of PDEs (math.AP) 35K85 93D15
DOI:	10.20347/wias.preprint.2870
Popis:	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. 55 subfigures
Databáze:	OpenAIRE
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