:: 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.