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Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation

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dc.contributor.authorChanillo, Sagunen
dc.contributor.authorYung, Po Lamen
dc.date.accessioned2026-01-01T11:40:52Z
dc.date.available2026-01-01T11:40:52Z
dc.date.issued2015-08-15en
dc.description.abstractIn this note, we consider the constant-mean-curvature wave equation in (1. +. 2)-dimensions. We show that it does not admit any self-similar blow-up. We also remark that the equation is locally well-posed for initial data in H3/2.en
dc.description.sponsorshipS.C. and P.-L.Y. were supported by National Science Foundation grant DMS-1201474 . P.-L.Y. was also supported by a Titchmarsh Fellowship at the University Of Oxford , a junior research fellowship at St. Hilda's College , and a direct grant for research from the Chinese University of Hong Kong ( 4053120 ). S.C. wishes to thank Carlos Kenig for several enlightening conversations related to the contents of this paper.en
dc.description.statusPeer-revieweden
dc.format.extent23en
dc.identifier.issn0022-1236en
dc.identifier.otherORCID:/0000-0002-0441-3625/work/162951479en
dc.identifier.scopus84930475250en
dc.identifier.urihttps://hdl.handle.net/1885/733800039
dc.language.isoenen
dc.rightsPublisher Copyright: © 2015 Elsevier Inc.en
dc.sourceJournal of Functional Analysisen
dc.subjectLocal well-posednessen
dc.subjectSelf-similar blow-upen
dc.subjectWave constant mean curvature equationen
dc.titleAbsence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equationen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage1202en
local.bibliographicCitation.startpage1180en
local.contributor.affiliationChanillo, Sagun; Rutgers - The State University of New Jersey, New Brunswicken
local.contributor.affiliationYung, Po Lam; Department of Mathematicsen
local.identifier.citationvolume269en
local.identifier.doi10.1016/j.jfa.2015.01.021en
local.identifier.pure05adc0a1-0ab4-4cbf-9042-8ed79bad4d43en
local.identifier.urlhttps://www.scopus.com/pages/publications/84930475250en
local.type.statusPublisheden

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