{
  "id": "1308.2466",
  "version": "v1",
  "published": "2013-08-12T05:35:20.000Z",
  "updated": "2013-08-12T05:35:20.000Z",
  "title": "Singular Phenomena of Solutions for Nonlinear Diffusion Equations involving $p(x)$-\\hbox{Laplacian} Operator",
  "authors": [
    "Bin Guo",
    "Wenjie Gao"
  ],
  "comment": "any comments are welcome",
  "categories": [
    "math.AP"
  ],
  "abstract": "The authors of this paper study singular phenomena(vanishing and blowing-up in finite time) of solutions to the homogeneous $\\hbox{Dirichlet}$ boundary value problem of nonlinear diffusion equations involving $p(x)$-\\hbox{Laplacian} operator and a nonlinear source. The authors discuss how the value of the variable exponent $p(x)$ and initial energy(data) affect the properties of solutions. At the same time, we obtain the critical extinction and blow-up exponents of solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-12T05:35:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K40",
      "35B65"
    ],
    "keywords": [
      "nonlinear diffusion equations",
      "paper study singular phenomena",
      "boundary value problem",
      "initial energy",
      "nonlinear source"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2466G"
    }
  }
}