Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support

Luis Alberto Fernández;  Alexander Yuri Khapalov — 2012

ESAIM: Control, Optimisation and Calculus of Variations

We discuss several new results on nonnegative approximate controllability for the one-dimensional Heat equation governed by either multiplicative or nonnegative additive control, acting within a proper subset of the space domain at every moment of time. Our methods allow us to link these two types of controls to some extend. The main results include approximate controllability properties both for the static and mobile control supports.

Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.

Eduardo Casas;  Luis Alberto Fernández — 1991

Revista Matemática de la Universidad Complutense de Madrid

In this paper we study some optimal control problems of systems governed by quasilinear elliptic equations in divergence form with non differentiable coefficients at the origin. We prove existence of solutions and derive the optimality conditions by considering a perturbation of the differential operator coefficients that removes the singularity at the origin. Regularity of optimal controls is also deduced.

Page 1

Download Results (CSV)