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The Essential Self-adjointness of the Wave Operator on Radiative Spacetimes

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dc.contributor.authorJia, Qiuyeen
dc.contributor.authorMolodyk, Mikhailen
dc.contributor.authorSussman, Ethanen
dc.date.accessioned2026-06-07T18:40:41Z
dc.date.available2026-06-07T18:40:41Z
dc.date.issued2026en
dc.description.abstractWe prove the essential self-adjointness of the d’Alembertian □g, allowing a larger class of spacetimes than previously considered, including those that arise from perturbing Minkowski spacetime by gravitational radiation. We emphasize the fact, proven by Taira in related settings, that all tempered distributions u satisfying □gu=λu+f for λ∈C\R and f Schwartz are Schwartz. The proof is fully microlocal and relatively quick given the “de,sc-” machinery recently developed by the third author.en
dc.description.sponsorshipWe are grateful to Dean Baskin, Jan Dereziński, Kouichi Taira, Michał Wrochna, and András Vasy for comments, as well as the organizers of MAQD 2024 at Northwestern University. It was at this conference that this work began, inspired by a talk given by Shu Nakamura on his work on this problem. Q.J. is supported by the Australian Research Council through grant FL220100072 . M.M. is supported by the National Science Foundation under grant number PHY-2310429 . E.S. is supported by the National Science Foundation under grant number DMS-2401636 .en
dc.description.statusPeer-revieweden
dc.format.extent28en
dc.identifier.issn0010-3616en
dc.identifier.otherWOS:001661447400006en
dc.identifier.otherORCID:/0000-0003-1761-7827/work/216716509en
dc.identifier.scopus105027786336en
dc.identifier.urihttps://hdl.handle.net/1885/733810062
dc.language.isoenen
dc.provenanceCC BY 4.0en
dc.rights©2026 The authors en
dc.sourceCommunications in Mathematical Physicsen
dc.titleThe Essential Self-adjointness of the Wave Operator on Radiative Spacetimesen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.contributor.affiliationJia, Qiuye; Mathematical Sciences Institute Research, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National Universityen
local.contributor.affiliationMolodyk, Mikhail; Stanford Universityen
local.contributor.affiliationSussman, Ethan; Northwestern Universityen
local.identifier.citationvolume407en
local.identifier.doi10.1007/s00220-025-05532-xen
local.identifier.pure34c60053-ef23-4d2e-85eb-24a2940a452den
local.identifier.urlhttps://www.scopus.com/pages/publications/105027786336en
local.type.statusPublisheden

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