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Systems of stochastic partial differential equations with reflection: Existence and uniqueness
Authors:Tusheng Zhang
Affiliation:
  • School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, England, UK
  • CMA, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
  • Abstract:In this paper, we establish the existence and uniqueness of solutions of systems of stochastic partial differential equations (SPDEs) with reflection in a convex domain. The lack of comparison theorems for systems of SPDEs makes things delicate.
    Keywords:primary  60H15  secondary  60J60  35R60
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