On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains

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.

References in corpus (1)

• Inverse Problem for a Curved Quantum Guide

Cited by in corpus (5)

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• A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs