An Improved Strichartz Estimate for Systems with Divergence Free Data

dc.contributor.authorChanillo, Sagunen
dc.contributor.authorYung, Po Lamen
dc.date.accessioned2025-06-29T21:34:22Z
dc.date.available2025-06-29T21:34:22Z
dc.date.issued2012en
dc.description.abstractUsing the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow norms of the inhomogeneity in the right hand side of the estimate.en
dc.description.sponsorshipThe first author is supported by NSF grant DMS-0855541. The second author would like to thank Jonathan Luk for a number of inspiring discussions.en
dc.description.statusPeer-revieweden
dc.format.extent9en
dc.identifier.issn0360-5302en
dc.identifier.otherORCID:/0000-0002-0441-3625/work/162951478en
dc.identifier.scopus84856820821en
dc.identifier.urihttp://www.scopus.com/inward/record.url?scp=84856820821&partnerID=8YFLogxKen
dc.identifier.urihttps://hdl.handle.net/1885/733765494
dc.language.isoenen
dc.sourceCommunications in Partial Differential Equationsen
dc.subjectDiv-curlen
dc.subjectDivergence-freeen
dc.subjectStrichartz estimatesen
dc.titleAn Improved Strichartz Estimate for Systems with Divergence Free Dataen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage233en
local.bibliographicCitation.startpage225en
local.contributor.affiliationChanillo, Sagun; Rutgers - The State University of New Jersey, New Brunswicken
local.contributor.affiliationYung, Po Lam; Department of Mathematicsen
local.identifier.citationvolume37en
local.identifier.doi10.1080/03605302.2011.594475en
local.identifier.pure49d2eccc-4cd9-4ad5-a88e-d4d1a5843f60en
local.identifier.urlhttps://www.scopus.com/pages/publications/84856820821en
local.type.statusPublisheden

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