{
  "id": "2409.18242",
  "version": "v1",
  "published": "2024-09-26T19:34:49.000Z",
  "updated": "2024-09-26T19:34:49.000Z",
  "title": "Once again on evolution equations with monotone operators in Hilbert spaces and applications",
  "authors": [
    "István Gyöngy",
    "Nicolai V. Krylov"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Existence, uniqueness and stability of the solutions of linear stochastic evolution equations are investigated. The results obtained are used to prove theorems on solvability of linear second order stochastic partial differential equations in $L_{p}$-setting with singular lower order coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-26T19:34:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35R60"
    ],
    "keywords": [
      "monotone operators",
      "hilbert spaces",
      "linear second order stochastic partial",
      "order stochastic partial differential equations",
      "second order stochastic partial differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}