{
  "id": "0809.5002",
  "version": "v3",
  "published": "2008-09-29T16:24:38.000Z",
  "updated": "2011-07-13T17:04:09.000Z",
  "title": "Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential",
  "authors": [
    "Veronica Felli",
    "Alberto Ferrero",
    "Susanna Terracini"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Asymptotics of solutions to Schroedinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis-Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order -1.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-07-13T17:04:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35B40",
      "83C50",
      "35J60"
    ],
    "keywords": [
      "schrödinger equations",
      "asymptotic behavior",
      "electromagnetic potential",
      "isolated singularity",
      "almgren type monotonicity formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.5002F"
    }
  }
}