{"id":"https://openalex.org/W7223347718","doi":"https://doi.org/10.48550/arxiv.2610.31543","title":"A sharpened $L^8_t L^4_x$-Strichartz estimate for even initial data","display_name":"A sharpened $L^8_t L^4_x$-Strichartz estimate for even initial data","publication_year":2026,"publication_date":"2026-10-22","ids":{"openalex":"https://openalex.org/W7223347718","doi":"https://doi.org/10.48550/arxiv.2610.31543"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.31543","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.31543","pdf_url":"https://arxiv.org/pdf/2610.31543","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.31543","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5156556275","display_name":"Soichiro Suzuki","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Suzuki, Soichiro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5156556275"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.002199999988079071,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/strichartz-estimates","display_name":"Strichartz estimates","score":0.9610000252723694},{"id":"https://openalex.org/keywords/extremizers","display_name":"extremizers","score":0.6549999713897705},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.6470000147819519},{"id":"https://openalex.org/keywords/sharp-constants","display_name":"sharp constants","score":0.6129999756813049},{"id":"https://openalex.org/keywords/nonlinear-schrodinger-equation","display_name":"nonlinear Schr\u00f6dinger equation","score":0.7699999809265137}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5885000228881836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.576200008392334},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.397599995136261},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3815999925136566},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3547999858856201},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34700000286102295},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.34599998593330383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3409999907016754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3312000036239624},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3107999861240387},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.26829999685287476},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.25600001215934753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.31543","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.31543","pdf_url":"https://arxiv.org/pdf/2610.31543","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.31543","doi":"https://doi.org/10.48550/arxiv.2610.31543","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.31543","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.31543","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.31543","pdf_url":"https://arxiv.org/pdf/2610.31543","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223347718.pdf","grobid_xml":"https://content.openalex.org/works/W7223347718.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1705773320","https://openalex.org/W1972038344","https://openalex.org/W1992895663","https://openalex.org/W2007282282","https://openalex.org/W2008315835","https://openalex.org/W2019183979","https://openalex.org/W2102327241","https://openalex.org/W2135543411","https://openalex.org/W2162196111","https://openalex.org/W2190929144","https://openalex.org/W2598132548","https://openalex.org/W2758578260","https://openalex.org/W4415935677","https://openalex.org/W7212285607"],"related_works":["https://openalex.org/W2422643739","https://openalex.org/W2514956346","https://openalex.org/W4299716644","https://openalex.org/W4310031896","https://openalex.org/W2963626986","https://openalex.org/W236880094","https://openalex.org/W3101216505","https://openalex.org/W3120014456","https://openalex.org/W2146024412","https://openalex.org/W7097010628"],"abstract_inverted_index":{"It":[0],"is":[1,10,23],"well":[2],"known":[3],"that":[4,28],"$u_0":[5],"\\in":[6],"L^2(\\mathbb{R})":[7,39],"\\setminus":[8,40],"\\{0\\}$":[9,41],"an":[11,47],"extremizer":[12],"for":[13,57],"the":[14,75],"$L^8_t":[15],"L^4_x$-Strichartz":[16],"estimate":[17],"if":[18,21],"and":[19],"only":[20],"it":[22],"a":[24,43,54],"Gaussian.":[25],"We":[26],"show":[27],"every":[29],"extremizing":[30],"sequence":[31],"of":[32],"even":[33,59],"functions":[34,61],"$\\{":[35],"u_n":[36],"\\}":[37],"\\subset":[38],"approaches":[42],"centered":[44],"Gaussian":[45],"in":[46,71],"appropriate":[48],"sense.":[49],"This":[50],"result":[51],"follows":[52],"from":[53],"certain":[55],"inequality":[56],"coordinate-wise":[58],"$L^2$":[60],"on":[62],"$\\mathbb{R}^4$":[63],"conjectured":[64],"by":[65],"Gon\u00e7alves":[66],"(2019)":[67],"which":[68],"we":[69],"prove":[70],"this":[72],"paper":[73],"with":[74],"optimal":[76],"constant.":[77]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-24T00:00:00"}