{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:52:23Z","timestamp":1777449143357,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2014,8,1]],"date-time":"2014-08-01T00:00:00Z","timestamp":1406851200000},"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":[[2014,8]]},"abstract":"<jats:p>We study the asymptotic behavior of a diffusion process with small diffusion in a domain D. This process is reflected at \u2202D with respect to a co-normal direction pointing inside D. Our asymptotic result is used to study the long time behavior of the solution of the corresponding parabolic PDE with Neumann boundary condition.<\/jats:p>","DOI":"10.3233\/asy-141217","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:33:42Z","timestamp":1575056022000},"page":"187-200","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Random perturbations of dynamical systems with reflecting boundary and corresponding PDE with a small parameter"],"prefix":"10.1177","volume":"88","author":[{"given":"Wenqing","family":"Hu","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Maryland at College Park, College Park, MD, USA. E-mails: {huwenqing, lucast}@math.umd.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lucas","family":"Tcheuko","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Maryland at College Park, College Park, MD, USA. E-mails: {huwenqing, lucast}@math.umd.edu"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,8,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141217","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141217","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:09Z","timestamp":1777380009000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141217"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,8]]}},"alternative-id":["10.3233\/ASY-141217"],"URL":"https:\/\/doi.org\/10.3233\/asy-141217","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8]]}}}