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The proof relies on the Skorohod representation theorem, the Gy\u00f6ngy\u2013Krylov theorem and stopping time arguments.<\/jats:p>","DOI":"10.3233\/asy-161378","type":"journal-article","created":{"date-parts":[[2016,8,16]],"date-time":"2016-08-16T14:31:47Z","timestamp":1471357907000},"page":"125-161","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Stochastic systems of diffusion equations with polynomial reaction terms"],"prefix":"10.1177","volume":"99","author":[{"given":"Du","family":"Pham","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Texas at San Antonio, One UTSA Circle San Antonio, Texas 78249, USA. E-mail:\u00a0"}]},{"given":"Phuong","family":"Nguyen","sequence":"additional","affiliation":[{"name":"The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, Indiana 47405, USA. 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