Note on Boundary Stabilization of Degenerate Schr\"odinger Equations

Abstract

A degenerate Schr\"odinger equation under fractional integral damping is considered. Here the damping term is singular and not integrable and we consider the two cases when damping acting on the degenerate boundary and nondegenerate boundary. In this paper, we establish polynomial energy decay rates for the degenerate Schr\"odinger equation by using resolvent estimates.

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