{
  "id": "1810.09749",
  "version": "v1",
  "published": "2018-10-23T09:51:40.000Z",
  "updated": "2018-10-23T09:51:40.000Z",
  "title": "Modulational stability of ground states to nonlinear Kirchhoff equations",
  "authors": [
    "Jianjun Zhang",
    "Zhisu Liu",
    "Marco Squassina"
  ],
  "comment": "11",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the stability of ground states to a nonlinear focusing Schr\\\"odinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein [{\\it SIAM J. Math. Anal.}, 16(1985),472-491].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-23T09:51:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B35",
      "35Q51",
      "35Q40"
    ],
    "keywords": [
      "ground states",
      "nonlinear kirchhoff equations",
      "modulational stability",
      "modulation stability estimate",
      "kirchhoff term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}