{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:36Z","timestamp":1777448916474,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2011,10,1]],"date-time":"2011-10-01T00:00:00Z","timestamp":1317427200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:p>We give an asymptotic formula in time of solutions to the linear fourth-order Schr\u00f6dinger type equation in one space dimension without the mean zero condition on the initial data. Then we apply this formula to study the long time behavior of solution to the fourth-order Schr\u00f6dinger type equation with the cubic non-linearity.<\/jats:p>","DOI":"10.3233\/asy-2011-1051","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:18:26Z","timestamp":1575055106000},"page":"25-36","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["A remark on asymptotics of solutions to Schr\u00f6dinger equation with fourth-order dispersion"],"prefix":"10.1177","volume":"75","author":[{"given":"Jun-Ichi","family":"Segata","sequence":"first","affiliation":[{"name":"Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan. E-mail: segata@math.tohoku.ac.jp"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1051","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:23Z","timestamp":1777379963000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.3233\/ASY-2011-1051"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1051","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10]]}}}