Note on Boundary Stabilization of Degenerate Schrödinger Equations

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Abdelkader Benaïssa, Abbès Benaissa
DOI: 10.48550/arxiv.2601.09475
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Stability and Controllability of Differential Equations Advanced Mathematical Physics Problems Spectral Theory in Mathematical Physics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
14 January 2026
Document type
Preprint