{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:44:38Z","timestamp":1777448678192,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2008,6,1]],"date-time":"2008-06-01T00:00:00Z","timestamp":1212278400000},"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":[[2008,6]]},"abstract":"<jats:p>We justify WKB analysis for Hartree equation in space dimension at least three, in a r\u00e9gime which is supercritical as far as semiclassical analysis is concerned. The main technical remark is that the nonlinear Hartree term can be considered as a semilinear perturbation. This is in contrast with the case of the nonlinear Schr\u00f6dinger equation with a local nonlinearity, where quasilinear analysis is needed to treat the nonlinearity.<\/jats:p>","DOI":"10.3233\/asy-2008-0882","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:01:39Z","timestamp":1575054099000},"page":"211-227","source":"Crossref","is-referenced-by-count":4,"title":["Semiclassical analysis for Hartree equation"],"prefix":"10.1177","volume":"58","author":[{"given":"R\u00e9mi","family":"Carles","sequence":"first","affiliation":[{"name":"CNRS & Universit\u00e9 Montpellier 2, Math\u00e9matiques, CC 051, Place Eug\u00e8ne Bataillon, 34095 Montpellier cedex, France. E-mail: Remi.Carles@math.cnrs.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Satoshi","family":"Masaki","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan. E-mail: machack@math.kyoto-u.ac.jp"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2008,6,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0882","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0882","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:36Z","timestamp":1777379916000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2008-0882"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,6]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,6]]}},"alternative-id":["10.3233\/ASY-2008-0882"],"URL":"https:\/\/doi.org\/10.3233\/asy-2008-0882","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,6]]}}}