Observability of a 1D Schrödinger equation with time-varying boundaries
Language
en
Document de travail - Pré-publication
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Observability
controllability
Schrödinger equation
moving domain
non-
autonomous evolution equation
Origin
Hal imported