Observability of a 1D Schrödinger equation with time-varying boundaries
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en
Document de travail - Pré-publication
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Observability
controllability
Schrödinger equation
moving domain
non-
autonomous evolution equation
Orígen
Importado de HalCentros de investigación