Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains

We consider the inverse problem of determining the time independent scalar potential of the dynamic Schrödinger equation in an infinite cylindrical domain from one boundary Neumann observation of the solution. We prove Hölder stability by choosing the Dirichlet boundary condition suitably.

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Source ISSN: 0022-247X
Author Kian, Yavar, Phan, Quang Sang, Soccorsi, Eric
Maintainer CCSD
Last Updated May 8, 2026, 04:05 (UTC)
Created May 8, 2026, 04:05 (UTC)
Identifier hal-00907141
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Centre de Physique Théorique - UMR 7332 (CPT) ; Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
creator Kian, Yavar
date 2015-05-08T00:00:00
harvest_object_id cc13166a-267f-4996-b70b-15babda3908e
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-03-12T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1311.5323
set_spec type:ART