{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:45:39Z","timestamp":1777448739263,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2009,5,1]],"date-time":"2009-05-01T00:00:00Z","timestamp":1241136000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2009,5]]},"abstract":"<jats:p>\n                    We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schr\u00f6dinger group e\n                    <jats:sup>it(\u2212\u0394+V)<\/jats:sup>\n                    for a class of real-valued potentials V\u2208C\n                    <jats:sup>k<\/jats:sup>\n                    (R\n                    <jats:sup>n<\/jats:sup>\n                    ), V(x)=O(\u3008x\u3009\n                    <jats:sup>\u2212\u03b4<\/jats:sup>\n                    ), where n=4, 5, k&gt;(n\u22123)\/2, \u03b4&gt;3 if n=4 and \u03b4&gt;5 if n=5.\n                  <\/jats:p>","DOI":"10.3233\/asy-2009-0916","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:05:06Z","timestamp":1575054306000},"page":"125-145","source":"Crossref","is-referenced-by-count":9,"title":["Dispersive estimates for the Schr\u00f6dinger equation in dimensions four and five"],"prefix":"10.1177","volume":"62","author":[{"given":"Fernando","family":"Cardoso","sequence":"first","affiliation":[{"name":"Universidade Federal de Pernambuco, Departamento de Matem\u00e1tica, CEP. 50540-740 Recife-Pe, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claudio","family":"Cuevas","sequence":"additional","affiliation":[{"name":"Universidade Federal de Pernambuco, Departamento de Matem\u00e1tica, CEP. 50540-740 Recife-Pe, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Georgi","family":"Vodev","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Nantes, D\u00e9partement de Math\u00e9matiques, UMR 6629 du CNRS, 2, rue de la Houssini\u00e8re, BP 92208, 44332 Nantes Cedex 03, France. E-mail: vodev@math.univ-nantes.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2009,5,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2009-0916","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2009-0916","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:50Z","timestamp":1777379930000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2009-0916"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2009,5]]}},"alternative-id":["10.3233\/ASY-2009-0916"],"URL":"https:\/\/doi.org\/10.3233\/asy-2009-0916","relation":{"is-cited-by":[{"id-type":"doi","id":"10.2140\/apde.2016.9.813","asserted-by":"object"}]},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,5]]}}}