On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains
Numerical Analysis
2018-05-03 v2 Optimization and Control
Abstract
A linear quadratic Dirichlet control problem posed on a possibly non-convex polygonal domain is analyzed. Detailed regularity results are provided in classical Sobolev (Slobodetskii) spaces. In particular, it is proved that in the presence of control constraints, the optimal control is continuous despite the non-convexity of the domain.
Keywords
Cite
@article{arxiv.1505.00413,
title = {On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains},
author = {Thomas Apel and Mariano Mateos and Johannes Pfefferer and Arnd Rösch},
journal= {arXiv preprint arXiv:1505.00413},
year = {2018}
}