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2026-01-14 13:34 UTC · math.AP · math.AP

Note on Boundary Stabilization of Degenerate Schrödinger Equations

Abdelkader Benaissa, Abbes Benaissa

A degenerate Schrödinger 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 Schrödinger equation by using resolvent estimates.
arXiv abstractPDF

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