{"id":{"repo_id":"washington","oai_identifier":"oai:digital.lib.washington.edu:1773/40635"},"canonical_url":"https://search.dev.ndltd.org/etd/washington/oai:digital.lib.washington.edu:1773/40635","repository":{"repo_id":"washington","name":"University of Washington","base_url":"https://digital.lib.washington.edu/server/oai/request"},"display":{"title":"Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature","abstract":"Wave packet methods have proven to be a useful tool for the study of dispersive effects of the wave equation with coefficients of limited differentiability. In this thesis, we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives.","abstract_html":"Wave packet methods have proven to be a useful tool for the study of dispersive effects of the wave equation with coefficients of limited differentiability. In this thesis, we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives.","abstract_has_math":false,"creators":["Chen, Yuanlong"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Smith, Hart"],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017-10-26","date_published":"2017-10-26","updated_at":"2026-07-24T05:58:12Z","subjects":["Low regularity metrics","Riemannian manifolds","Strichartz estimates","Wave equations","Mathematics"],"languages":["en_US"],"rights":["none"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1773/40635","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Smith, Hart"]},{"key":"dc:creator","label":"Author","values":["Chen, Yuanlong"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-10-26T20:51:44Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-10-26T20:51:44Z"]},{"key":"dc:date.issued","label":"Date","values":["2017-10-26"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Low regularity metrics","Riemannian manifolds","Strichartz estimates","Wave equations","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["none"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["Chen_washington_0250E_17747.pdf"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1773/40635"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (Ph.D.)--University of Washington, 2017-07"]},{"key":"dc:description.abstract","label":"Abstract","values":["Wave packet methods have proven to be a useful tool for the study of dispersive effects of the wave equation with coefficients of limited differentiability. In this thesis, we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature"]}]}],"canonical_facts":{"dc:contributor.advisor":["Smith, Hart"],"dc:creator":["Chen, Yuanlong"],"dc:date.accessioned":["2017-10-26T20:51:44Z"],"dc:date.available":["2017-10-26T20:51:44Z"],"dc:date.issued":["2017-10-26"],"dc:description":["Thesis (Ph.D.)--University of Washington, 2017-07"],"dc:description.abstract":["Wave packet methods have proven to be a useful tool for the study of dispersive effects of the wave equation with coefficients of limited differentiability. In this thesis, we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives."],"dc:format.mimetype":["application/pdf"],"dc:identifier.other":["Chen_washington_0250E_17747.pdf"],"dc:identifier.uri":["http://hdl.handle.net/1773/40635"],"dc:language.iso":["en_US"],"dc:rights":["none"],"dc:subject":["Low regularity metrics","Riemannian manifolds","Strichartz estimates","Wave equations","Mathematics"],"dc:title":["Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T05:58:12Z"}