{
  "id": "2205.06387",
  "version": "v1",
  "published": "2022-05-12T22:29:56.000Z",
  "updated": "2022-05-12T22:29:56.000Z",
  "title": "Determining the collision kernel in the Boltzmann equation near the equilibrium",
  "authors": [
    "Li Li",
    "Zhimeng Ouyang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider an inverse problem for the nonlinear Boltzmann equation near the equilibrium. Our goal is to determine the collision kernel in the Boltzmann equation from the knowledge of the Albedo operator. Our approach relies on a linearization technique as well as the injectivity of the Gauss-Weierstrass transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T22:29:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "collision kernel",
      "equilibrium",
      "nonlinear boltzmann equation",
      "inverse problem",
      "determining"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}