{
  "id": "2010.00690",
  "version": "v1",
  "published": "2020-10-01T21:19:39.000Z",
  "updated": "2020-10-01T21:19:39.000Z",
  "title": "The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition",
  "authors": [
    "Tertuliano Franco",
    "Patrícia Gonçalves",
    "Nicolas Perkowski",
    "Marielle Simon"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet boundary condition at zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-01T21:19:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35C15"
    ],
    "keywords": [
      "dirichlet boundary condition",
      "heat equation",
      "explicit fundamental solution",
      "probabilistic method",
      "cauchy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}