{
  "id": "2002.04496",
  "version": "v1",
  "published": "2020-02-11T15:57:23.000Z",
  "updated": "2020-02-11T15:57:23.000Z",
  "title": "A Minimizing Movement approach to a class of scalar reaction-diffusion equations",
  "authors": [
    "Florentine Catharina Fleißner"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this paper is to introduce a Minimizing Movement approach to a class of scalar reaction-diffusion equations, which is built on their gradient-flow-like structure in the space of finite nonnegative Radon measures, endowed with the recently introduced Hellinger-Kantorovich distance. Moreover, a superdifferentiability property of the Hellinger-Kantorovich distance, which will play an important role in this context, is established in the general setting of a separable Hilbert space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-11T15:57:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar reaction-diffusion equations",
      "minimizing movement approach",
      "hellinger-kantorovich distance",
      "finite nonnegative radon measures",
      "separable hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}