{
  "id": "2102.08662",
  "version": "v1",
  "published": "2021-02-17T10:00:09.000Z",
  "updated": "2021-02-17T10:00:09.000Z",
  "title": "Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues",
  "authors": [
    "Georgi Vodev"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce an analog of the Dirichlet-to-Neumann map for the Maxwell equation in a bounded domain. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol. As a consequence, we obtain a parabolic region free of the transmission eigenvalues associated to the Maxwell equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-17T10:00:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maxwell equation",
      "electromagnetic transmission eigenvalues",
      "semiclassical parametrix",
      "applications",
      "parabolic region free"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}