Continuity of solutions to a nonlinear fractional diffusion equation

By Lorenzo Brasco, Erik Lindgren, Martin H. Strömqvist. Journal of evolution equations (Printed ed.), 2019

64 citations recorded by the source corpus.

We study a parabolic equation for the fractional p-Laplacian of order s, for p≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p\ge 2$$\end{document} and 0<s<1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0<s<1$$\end{document}. We provide space-time Hölder estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of Moser’s technique.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c2c249c8d6224994b523d66d2ba70e5ff84da77f

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In Applied Mathematics

  1. P. Garain
  2. Juha Kinnunen
  3. Verena Bogelein
  4. Frank Duzaar
  5. Giuseppe Mingione
  6. Anders Bjorn
  7. Tuomo Kuusi
  8. Mikko Parviainen

In Computational Theory and Mathematics

  1. P. Garain
  2. Juha Kinnunen
  3. Verena Bogelein
  4. Frank Duzaar
  5. Giuseppe Mingione
  6. Tuomo Kuusi
  7. Mikko Parviainen
  8. Anders Bjorn

In Mathematical Physics

  1. P. Garain
  2. Juha Kinnunen
  3. P. Hajłasz
  4. Verena Bogelein
  5. Ondvrej Kurka
  6. Jani Onninen

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