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We apply a technique of time transformation which allows us to show that the original problems are equivalent to some optimal stopping time problems with bounded controls.<\/jats:p>","DOI":"10.1137\/080730202","type":"journal-article","created":{"date-parts":[[2010,2,17]],"date-time":"2010-02-17T18:07:17Z","timestamp":1266430037000},"page":"3532-3561","source":"Crossref","is-referenced-by-count":3,"title":["Weakly Coercive Problems in Nonlinear Stochastic Control: Existence of Optimal Controls"],"prefix":"10.1137","volume":"48","author":[{"given":"M.","family":"Motta","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C.","family":"Sartori","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,2,17]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012900367825"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4149(99)00102-7"},{"key":"R3","first-page":"641","volume":"2","author":"Bressan A.","year":"1988","journal-title":"Boll. 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