{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T01:45:57Z","timestamp":1787363157176,"version":"build-2736575974"},"reference-count":8,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"name":"ERCEA","award":["669689 - HADE"],"award-info":[{"award-number":["669689 - HADE"]}]},{"name":"MEIC","award":["MTM2014-53850-P"],"award-info":[{"award-number":["MTM2014-53850-P"]}]},{"name":"MEIC","award":["SEV-2013-0323"],"award-info":[{"award-number":["SEV-2013-0323"]}]},{"DOI":"10.13039\/501100003086","name":"Eusko Jaurlaritza","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>We present some lower bounds for regular solutions of Schr\u00f6dinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, we prove that this mass can be observed if one looks at the solution and its gradient in space-time regions outside of that ball.<\/jats:p>","DOI":"10.1137\/18m1218133","type":"journal-article","created":{"date-parts":[[2019,8,21]],"date-time":"2019-08-21T13:45:29Z","timestamp":1566395129000},"page":"3324-3336","source":"Crossref","is-referenced-by-count":3,"title":["Some Lower Bounds for Solutions of Schr\u00f6dinger Evolutions"],"prefix":"10.1137","volume":"51","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4847-8551","authenticated-orcid":true,"given":"Mikel","family":"Agirre","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luis","family":"Vega","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2019,8,21]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/460"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/399"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.2012.v19.n2.a4"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/134"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1080\/03605300500530446"},{"key":"atypb6","first-page":"415","volume":"49","author":"Escauriaza L.","year":"2012","journal-title":"S.)"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.24033\/asens.2221"},{"key":"atypb8","first-page":"663","volume":"5","author":"Nazarov F.","year":"1994","journal-title":"St. Petersburg Math. J."}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/18M1218133","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:55:39Z","timestamp":1787316939000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/18M1218133"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":8,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1137\/18M1218133"],"URL":"https:\/\/doi.org\/10.1137\/18m1218133","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]}}}