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arXiv · 2601.09475

Note on Boundary Stabilization of Degenerate Schr\"{o}dinger Equations

Abdelkader Benaissa·Abbes Benaissa
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Abstract

A degenerate Schr\"{o}dinger 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\"{o}dinger equation by using resolvent estimates.

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Abdelkader Benaissa, Abbes Benaissa. 2026-01-14. Note on Boundary Stabilization of Degenerate Schr\"{o}dinger Equations. https://arxiv.org/abs/2601.09475

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