{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T20:52:08Z","timestamp":1765486328442,"version":"build-2065373602"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Rev. Mat. Iberoam."],"published-print":{"date-parts":[[2019,6,17]]},"abstract":"<jats:p>We study fully nonlinear singularly perturbed parabolic equations and their limits. We show that solutions are uniformly Lipschitz continuous in space and H\u00f6lder continuous in time. For the limiting free boundary problem, we analyse the behaviour of solutions near the free boundary. We show, in particular, that, at each time level, the free boundary is a porous set and, consequently, is of Lebesgue measure zero. For rotationally invariant operators, we also derive the limiting free boundary condition.<\/jats:p>","DOI":"10.4171\/rmi\/1091","type":"journal-article","created":{"date-parts":[[2019,6,17]],"date-time":"2019-06-17T17:30:13Z","timestamp":1560792613000},"page":"1535-1558","source":"Crossref","is-referenced-by-count":6,"title":["Singularly perturbed fully nonlinear parabolic problems and their asymptotic free boundaries"],"prefix":"10.4171","volume":"35","author":[{"given":"Gleydson C.","family":"Ricarte","sequence":"first","affiliation":[{"name":"Universidade Federal do Cear\u00e1, Fortaleza, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5263-8992","authenticated-orcid":false,"given":"Rafayel","family":"Teymurazyan","sequence":"additional","affiliation":[{"name":"Universidade de Coimbra, Portugal"}]},{"given":"Jos\u00e9 Miguel","family":"Urbano","sequence":"additional","affiliation":[{"name":"Universidade de Coimbra, Portugal"}]}],"member":"2673","container-title":["Revista Matem\u00e1tica Iberoamericana"],"original-title":[],"link":[{"URL":"https:\/\/www.ems-ph.org\/fulltext\/10.4171\/rmi\/1091","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T12:20:30Z","timestamp":1762345230000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/rmi\/1091"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,17]]},"references-count":0,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.4171\/rmi\/1091","relation":{},"ISSN":["0213-2230","2235-0616"],"issn-type":[{"type":"print","value":"0213-2230"},{"type":"electronic","value":"2235-0616"}],"subject":[],"published":{"date-parts":[[2019,6,17]]}}}