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Local Decay Estimates

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dc.contributor.authorSoffer, Avyen
dc.contributor.authorWu, Xiaoxuen
dc.date.accessioned2026-07-03T22:41:38Z
dc.date.available2026-07-03T22:41:38Z
dc.date.issued2025en
dc.description.abstractWe give a proof of local decay estimates for Schrödinger-type equations, which is based on the knowledge of Asymptotic Completeness. This approach extends to time dependent potential perturbations, as it does not rely on Resolvent Estimates or related methods. Global in time Strichartz estimates follow for quasi-periodic time-dependent potentials from our results.en
dc.description.sponsorshipA.S. is partially supported by NSF-DMS-220931. X.W. is partially supported by ARC-FL220100072, NSF-DMS-220931 and NSERC Grant NA7901. The authors thank Maxime Van de Moortel for careful reading and for useful discussions. Parts of this work were done while the second author was at the Fields Institute for Research in Mathematical Sciences, Toronto, Texas A&M University, Rutgers University and University of Toronto.en
dc.description.statusPeer-revieweden
dc.identifier.issn0003-9527en
dc.identifier.otherORCID:/0000-0003-2972-8153/work/219173144en
dc.identifier.scopus85218845798en
dc.identifier.urihttps://hdl.handle.net/1885/733812642
dc.language.isoenen
dc.rightsPublisher Copyright: © The Author(s) 2025.en
dc.sourceArchive for Rational Mechanics and Analysisen
dc.titleLocal Decay Estimatesen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.contributor.affiliationSoffer, Avy; Rutgers - The State University of New Jersey, New Brunswicken
local.contributor.affiliationWu, Xiaoxu; Mathematical Sciences Institute Research, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National Universityen
local.identifier.citationvolume249en
local.identifier.doi10.1007/s00205-025-02089-wen
local.identifier.puref85b5d72-c85b-46bb-99b5-74bb343c6ee2en
local.identifier.urlhttps://www.scopus.com/pages/publications/85218845798en
local.type.statusPublisheden

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