This paper deals with state-constrained optimal control problems governed by semilinear
parabolic equations. We establish a minimum principle of Pontryagin's type. To deal with the …

The relaxation method has enjoyed an intensive development during many decades and
this new edition of this comprehensive text reflects in particular the main achievements in the …

This paper deals with optimal control problems governed by semilinear parabolic equations
with pointwise state constraints and unbounded controls. Under some strong stability …

In this work we deal with the design and management of wastewater treatment systems,
mainly the disposal of sea outfalls discharging polluting effluent from a sewerage system …

This paper deals with optimal control problems of semilinear parabolic equations with
pointwise state constraints and coupled integral state-control constraints. We obtain …

The spike variation technique plays a crucial role in deriving Pontryagin's type maximum
principle of optimal controls for ordinary differential equations (ODEs), partial differential …

This paper is concerned with first order necessary optimality conditions for state constrained
control problems in separable Banach spaces. Assuming inward pointing conditions on the …

We consider time-optimal control problems for semilinear parabolic equations with pointwise
state constraints and unbounded controls. A Pontryagin's principle is obtained in …

In this paper we provide a second order analysis for strong solutions in the optimal control of
parabolic equations. We consider first the case of box constraints on the control in a general …

In this paper, we study the infinite-dimensional endpoint state-constrained optimal control
problem for fractional evolution equations. The state equation is modeled by the X-valued …