Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 22 de febrero de 2023
Hora  : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Roberto Morales

(Departamento de Matemática, Universidad Técnica Federico Santa María, Chile))

Resumen

In this talk, I will present recent results on the controllability of some PDEs with dynamic boundary conditions, i.e., where the boundary conditions depends on time derivatives. In particular, I will focus on the case of Schrödinger and Ginzburg-Landau type equations. The results are based on the proof of suitable observability inequalities for the associated linear adjoint problems. To deduce such inequalities, new Carleman estimates (where the weight functions are adapted to the geometry of the domain) are employed. These results have been obtained in collaboration with Nicolás Carreño and Alberto Mercado (Universidad Técnica Federico Santa María).