:: ENAMA » Encontro Nacional de Análise Matemática e Aplicações ::
MINICURSO

The control of evolution PDEs: some recent results and open problems

Enrique Fernández-Cara
Univ. de Sevilla



Lecture 1: Introduction. Optimal control and controllability. Basic definitions and fundamental results. Optimal control results for some nonlinear problems and related open questions. Numerical approximation, numerical results and applications.

Lecture 2: Controllability of linear parabolic equations and systems. Unique continuation, Carleman estimates and observability. Some results and open questions concerning the controllability of semilinear and nonlinear problems. Applications.

Lecture 3: Additional results and open questions concerning optimal control and controllability: the connection of optimal control and controllability, the case of nonsmooth coefficients, local versus global results, control and memory, etc.



Voltar