{
  "id": "1503.04989",
  "version": "v1",
  "published": "2015-03-17T10:49:16.000Z",
  "updated": "2015-03-17T10:49:16.000Z",
  "title": "Stochastic maximum principle for optimal control of a class of nonlinear SPDEs with dissipative drift",
  "authors": [
    "Marco Fuhrman",
    "Carlo Orrieri"
  ],
  "categories": [
    "math.PR",
    "math.OC"
  ],
  "abstract": "We prove a version of the stochastic maximum principle, in the sense of Pontryagin, for the finite horizon optimal control of a stochastic partial differential equation driven by an infinite dimensional additive noise. In particular we treat the case in which the non-linear term is of Nemytskii type, dissipative and with polynomial growth. The performance functional to be optimized is fairly general and may depend on point evaluation of the controlled equation. The results can be applied to a large class of non-linear parabolic equations such as reaction-diffusion equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-17T10:49:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic maximum principle",
      "nonlinear spdes",
      "dissipative drift",
      "stochastic partial differential equation driven",
      "finite horizon optimal control"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}