Observability of a 1D Schrödinger equation with time-varying boundaries
Langue
en
Document de travail - Pré-publication
Résumé en anglais
We discuss the observability of a one-dimensional Schrödinger equation on certain time dependent domain. In linear moving case, we give the exact boundary and pointwise internal observability for arbitrary time. For the ...Lire la suite >
We discuss the observability of a one-dimensional Schrödinger equation on certain time dependent domain. In linear moving case, we give the exact boundary and pointwise internal observability for arbitrary time. For the general moving, we provide exact boundary observability when the curve satisfies some certain conditions. By duality theory, we establish the controllability of adjoint system.< Réduire
Mots clés en anglais
Observability
controllability
Schrödinger equation
moving domain
non-
autonomous evolution equation
Origine
Importé de halUnités de recherche