Hölder Estimates for Nonlocal-Diffusion Equations with Drifts

Zhen Qing Chen*, Xicheng Zhang

*Corresponding author for this work

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Abstract

We study a class of nonlocal-diffusion equations with drifts, and derive a priori Φ -Hölder estimate for the solutions by using a purely probabilistic argument, where Φ is an intrinsic scaling function for the equation.

Original languageEnglish
Pages (from-to)331-348
Number of pages18
JournalCommunications in Mathematics and Statistics
Volume2
Issue number3-4
DOIs
Publication statusPublished - 1 Dec 2014
Externally publishedYes

Keywords

  • Drift
  • Hölder regularity
  • Lévy system
  • Nonlocal operator
  • Parabolic function
  • Space-time Hunt process

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Chen, Z. Q., & Zhang, X. (2014). Hölder Estimates for Nonlocal-Diffusion Equations with Drifts. Communications in Mathematics and Statistics, 2(3-4), 331-348. https://doi.org/10.1007/s40304-015-0042-5