Stabilization of the transmission Schrodinger equation with boundary time-varying delay

Abstract

We consider a system of transmission of the Schrodinger equation with Neumann feedback control that contains a time-varying delay term and that acts on the exterior boundary. Using a suitable energy function and a suitable Lyapunov functional, we prove under appropriate assumptions that the solutions decay exponentially.

MSC: 35Q93, 93D15

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Communicated Editor: Pr. Baowei Feng
Manuscript received Dec 26, 2023; revised Feb 23, 2024; accepted Mar 10, 2024; published May 19, 2024.