A note on Strichartz estimates for the wave equation with orthonormal initial data

This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left open. We also provide some new results in the maxima...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Bez, Neal, Kinoshita, Shinya, Shiraki, Shobu
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Bez, Neal
Kinoshita, Shinya
Shiraki, Shobu
description This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left open. We also provide some new results in the maximal-in-space boundary cases.
doi_str_mv 10.48550/arxiv.2306.14547
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2306_14547</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2306_14547</sourcerecordid><originalsourceid>FETCH-LOGICAL-a677-ce524974d9761d76a869169d00071adf5d2c83273c1ea1531ed717d5fdcd203d3</originalsourceid><addsrcrecordid>eNotj8tOwzAQRb1hgVo-gBX-gQS_nSyripdUCal0H408jmKpjYsztMDXEwqrs7m6OoexWylq01gr7qF8plOttHC1NNb4a7Zd8TFT5Hnkb1RSGKDQN48TpQNQnHifC6ch8jOcIo_vH0Bpnp4TDTwXGvKYywH2PI2J0kwEgiW76mE_xZt_Ltju8WG3fq42r08v69WmAud9FaJVpvUGW-8kegeNa6VrUQjhJWBvUYVGK6-DjCCtlhG99Gh7DKiERr1gd3-3l6juWGbj8tX9xnWXOP0DDs9KZw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A note on Strichartz estimates for the wave equation with orthonormal initial data</title><source>arXiv.org</source><creator>Bez, Neal ; Kinoshita, Shinya ; Shiraki, Shobu</creator><creatorcontrib>Bez, Neal ; Kinoshita, Shinya ; Shiraki, Shobu</creatorcontrib><description>This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left open. We also provide some new results in the maximal-in-space boundary cases.</description><identifier>DOI: 10.48550/arxiv.2306.14547</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs ; Mathematics - Classical Analysis and ODEs</subject><creationdate>2023-06</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2306.14547$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2306.14547$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bez, Neal</creatorcontrib><creatorcontrib>Kinoshita, Shinya</creatorcontrib><creatorcontrib>Shiraki, Shobu</creatorcontrib><title>A note on Strichartz estimates for the wave equation with orthonormal initial data</title><description>This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left open. We also provide some new results in the maximal-in-space boundary cases.</description><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Classical Analysis and ODEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tOwzAQRb1hgVo-gBX-gQS_nSyripdUCal0H408jmKpjYsztMDXEwqrs7m6OoexWylq01gr7qF8plOttHC1NNb4a7Zd8TFT5Hnkb1RSGKDQN48TpQNQnHifC6ch8jOcIo_vH0Bpnp4TDTwXGvKYywH2PI2J0kwEgiW76mE_xZt_Ltju8WG3fq42r08v69WmAud9FaJVpvUGW-8kegeNa6VrUQjhJWBvUYVGK6-DjCCtlhG99Gh7DKiERr1gd3-3l6juWGbj8tX9xnWXOP0DDs9KZw</recordid><startdate>20230626</startdate><enddate>20230626</enddate><creator>Bez, Neal</creator><creator>Kinoshita, Shinya</creator><creator>Shiraki, Shobu</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230626</creationdate><title>A note on Strichartz estimates for the wave equation with orthonormal initial data</title><author>Bez, Neal ; Kinoshita, Shinya ; Shiraki, Shobu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a677-ce524974d9761d76a869169d00071adf5d2c83273c1ea1531ed717d5fdcd203d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Classical Analysis and ODEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Bez, Neal</creatorcontrib><creatorcontrib>Kinoshita, Shinya</creatorcontrib><creatorcontrib>Shiraki, Shobu</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bez, Neal</au><au>Kinoshita, Shinya</au><au>Shiraki, Shobu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A note on Strichartz estimates for the wave equation with orthonormal initial data</atitle><date>2023-06-26</date><risdate>2023</risdate><abstract>This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left open. We also provide some new results in the maximal-in-space boundary cases.</abstract><doi>10.48550/arxiv.2306.14547</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.2306.14547
ispartof
issn
language eng
recordid cdi_arxiv_primary_2306_14547
source arXiv.org
subjects Mathematics - Analysis of PDEs
Mathematics - Classical Analysis and ODEs
title A note on Strichartz estimates for the wave equation with orthonormal initial data
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T01%3A17%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20note%20on%20Strichartz%20estimates%20for%20the%20wave%20equation%20with%20orthonormal%20initial%20data&rft.au=Bez,%20Neal&rft.date=2023-06-26&rft_id=info:doi/10.48550/arxiv.2306.14547&rft_dat=%3Carxiv_GOX%3E2306_14547%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true