{
  "id": "1902.07907",
  "version": "v1",
  "published": "2019-02-21T08:12:33.000Z",
  "updated": "2019-02-21T08:12:33.000Z",
  "title": "Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space",
  "authors": [
    "José María Martell",
    "Dorina Mitrea",
    "Irina Mitrea",
    "Marius Mitrea"
  ],
  "comment": "To appear in Algebra i Analiz 2019",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We survey recent progress in a program aimed at proving general Fatou-type results and establishing the well-posedness of a variety of boundary value problems in the upper half-space ${\\mathbb{R}}^n_{+}$ for second-order, homogeneous, constant complex coefficient, elliptic systems $L$, formulated in a manner that emphasizes pointwise nontangential boundary traces of the null-solutions of $L$ in ${\\mathbb{R}}^n_{+}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-21T08:12:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31A20",
      "35C15",
      "35J57",
      "42B37",
      "46E30",
      "35B65",
      "42B25",
      "42B30",
      "42B35"
    ],
    "keywords": [
      "boundary value problems",
      "elliptic systems",
      "upper half-space",
      "fatou-type theorems",
      "emphasizes pointwise nontangential boundary traces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}