English

H\"older estimates for nonlocal-diffusion equations with drifts

Probability 2015-01-13 v2 Analysis of PDEs

Abstract

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

Keywords

Cite

@article{arxiv.1410.8243,
  title  = {H\"older estimates for nonlocal-diffusion equations with drifts},
  author = {Zhen-Qing Chen and Xicheng Zhang},
  journal= {arXiv preprint arXiv:1410.8243},
  year   = {2015}
}

Comments

Minor revision. To appear in Communications in Mathematics and Statistics

R2 v1 2026-06-22T06:41:21.312Z