{
  "id": "2004.12945",
  "version": "v1",
  "published": "2020-04-27T17:01:06.000Z",
  "updated": "2020-04-27T17:01:06.000Z",
  "title": "Asymptotics for Nonlinear Integral Equations with a Generalized Heat Kernel using Renormalization Group Technique II: Marginal Perturbations and Logarithmic Corrections to the Time Decay of Solutions",
  "authors": [
    "Gastão A. Braga",
    "Jussara M. Moreira",
    "Camila F. Souza"
  ],
  "comment": "20 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we proceed with the analysis started in \\cite{bib:braga-mor-souza} and, using the Renormalization Group method, we obtain logarithmic corrections to the decay of solutions for a class of nonlinear integral equations whenever the nonlinearities are classified as marginal in the Renormalization Group sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-27T17:01:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "45M05"
    ],
    "keywords": [
      "nonlinear integral equations",
      "renormalization group technique",
      "generalized heat kernel",
      "logarithmic corrections",
      "marginal perturbations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}