The purpose of this book is to present a self-contained and up-to-date survey of numerical
treatment for the so-called time-fractional diffusion model and their mathematical analysis …

This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

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 …

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 …

In this paper we investigate finite element approximation of optimal control problem
governed by space fractional diffusion equation with control constraints. The control variable …

In this work we present numerical analysis for a distributed optimal control problem, with box
constraint on the control, governed by a subdiffusion equation that involves a fractional …

In this paper we consider a parabolic optimal control problem with a pointwise (Dirac type)
control in space, but variable in time, in two space dimensions. To approximate the problem …

The problem of controlling and stabilizing solutions to the Kuramoto–Sivashinsky (KS)
equation is studied in this paper. We consider a generalized form of the equation in which …

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 …