Vegetation pattern dynamics is a pivotal research domain in ecology, which can reveal the
impact of the non-uniform distribution of vegetation on ecosystem structure and function …

In this paper a review of the results on sparse controls for partial differential equations is
presented. There are two different approaches to the sparsity study of control problems. One …

Optimal control problems with semilinear parabolic state equations are considered. The
objective features one out of three different terms promoting various spatio-temporal sparsity …

This work concentrates on a class of optimal control problems for semilinear parabolic
equations subject to control constraint of the form‖ u (t)‖ L 1 (Ω)≤ γ for t∈(0, T). This limits …

Optimal control problems in measure spaces governed by parabolic equations with are
considered. The controls appear as spatial measure in the initial condition and as space …

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 …

Measure valued optimal control problems governed by the linear wave equation are
analyzed. The space of vector measures M(\Omega_c,L^2(I)) is chosen as control space …

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 …

In this paper, we investigate an L 0 optimization problem with constraints in a form of
Volterra integral equation and the L∞ norm. In particular, the equivalence theorem among …

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 …