{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:32:43Z","timestamp":1777447963809,"version":"3.51.4"},"reference-count":11,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2019,6,4]],"date-time":"2019-06-04T00:00:00Z","timestamp":1559606400000},"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":[[2019,6,4]]},"abstract":"<jats:p>We show the existence and uniqueness of a continuous viscosity solution of a system of partial differential equations (PDEs for short) without assuming the usual monotonicity conditions on the driver function as in Hamad\u00e8ne and Morlais\u2019s article [ Applied Mathematics &amp; Optimization 67 (2013), 163\u2013196]. Our method strongly relies on the link between PDEs and reflected backward stochastic differential equations with interconnected obstacles for which we already know that the solution exists and is unique for general drivers.<\/jats:p>","DOI":"10.3233\/asy-181508","type":"journal-article","created":{"date-parts":[[2019,6,4]],"date-time":"2019-06-04T12:23:15Z","timestamp":1559650995000},"page":"123-136","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Viscosity solutions of systems of PDEs with interconnected obstacles and switching problem without monotonicity condition"],"prefix":"10.1177","volume":"113","author":[{"given":"Said","family":"Hamad\u00e8ne","sequence":"first","affiliation":[{"name":"LMM, Le Mans Universit\u00e9, Avenue Olivier Messiaen, 72085 Le Mans, Cedex 9, France. E-mail:\u00a0"}]},{"given":"Mohamed","family":"Mnif","sequence":"additional","affiliation":[{"name":"University of Tunis El Manar, ENIT-LAMSIN, B.P. 37, 1002 Tunis Belv\u00e9d\u00e8re, Tunisia. E-mails:\u00a0,\u00a0"}]},{"given":"Sarra","family":"Neffati","sequence":"additional","affiliation":[{"name":"LMM, Le Mans Universit\u00e9, Avenue Olivier Messiaen, 72085 Le Mans, Cedex 9, France. E-mail:\u00a0"},{"name":"University of Tunis El Manar, ENIT-LAMSIN, B.P. 37, 1002 Tunis Belv\u00e9d\u00e8re, Tunisia. E-mails:\u00a0,\u00a0"}]}],"member":"179","published-online":{"date-parts":[[2019,6,4]]},"reference":[{"key":"ref001","doi-asserted-by":"publisher","DOI":"10.1214\/ECP.v16-1614"},{"key":"ref002","doi-asserted-by":"publisher","DOI":"10.1619\/fesi.58.135"},{"key":"ref003","doi-asserted-by":"publisher","DOI":"10.2307\/2951600"},{"key":"ref004","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-009-9071-3"},{"key":"ref005","first-page":"702","author":"El Karoui N.","year":"1997","journal-title":"The Annals of Probability"},{"key":"ref006","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9965.00022"},{"key":"ref007","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-012-9184-y"},{"key":"ref008","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2010.01.003"},{"key":"ref009","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-009-0202-1"},{"key":"ref010","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(90)90082-6"},{"key":"ref011","unstructured":"D.\u00a0Revuz and M.\u00a0Yor, Continuous Martingales and Brownian Motion, Vol.\u00a0293, Springer Science & Business Media, 2013."}],"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181508","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/ASY-181508","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181508","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:36:25Z","timestamp":1777379785000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-181508"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,4]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,6,4]]}},"alternative-id":["10.3233\/ASY-181508"],"URL":"https:\/\/doi.org\/10.3233\/asy-181508","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,6,4]]}}}