Controllability of some wave equations

Date/heure
26 novembre 2024
10:45 - 11:45

Lieu
Salle de conférences Nancy

Oratrice ou orateur
Thomas Perrin (ENS Rennes)

Catégorie d'évènement
Séminaire Équations aux Derivées Partielles et Applications (Nancy)


Résumé

In this talk, I will present controllability results for some linear and non-linear wave equations. The linear equations will be vector-valued and at different levels of regularity. I will give the main ideas of the proof of a change of regularity result. For the non-linear equations, I will consider the case of the focusing cubic Klein-Gordon equation. I will state a local controllability result around a regular solution, and a null-controllability result for scattering solutions. In the presence of damping, I will give both a positive and a negative stabilization result. I will also provide some ideas of proofs.