A directional sparsity framework allowing for measure valued controls in the spatial direction
is proposed for parabolic optimal control problems. It allows for controls which are localized …

The main goal of the paper is to establish time semidiscrete and space-time fully discrete
maximal parabolic regularity for the time discontinuous Galerkin solution of linear parabolic …

This thesis is concerned with the numerical analysis of sparse control problems for elliptic
and parabolic state equations. A focus is set on controls which are measures in space …

We address the problem of inverse source identication for parabolic equations from the
optimal control viewpoint employing measures of minimal norm as initial data. We adopt the …

We consider finite element approximations of parabolic control problems with pointwise
control. The state equation exhibits low regularity due to the control imposed pointwisely; …

In this paper we establish a best approximation property of fully discrete Galerkin finite
element solutions of second order parabolic problems on convex polygonal and polyhedral …

In this paper, we study finite element approximations to some elliptic optimal control
problems with controls acting on a lower dimensional manifold which can be a point, a …

The parabolic Dirichlet boundary control problem and its finite element discretization are
considered in convex polygonal and polyhedral domains. We improve the existing results on …

The aim of this work is to derive a priori error estimates for finite element discretizations of
control–constrained optimal control problems that involve the Stokes system and Dirac …

The purpose of this work is to illustrate how the theory of Muckenhoupt weights,
Muckenhoupt-weighted Sobolev spaces and the corresponding weighted norm inequalities …