English

Harnack's Inequality for Parabolic Nonlocal Equations

Analysis of PDEs 2018-02-22 v1

Abstract

The main result of this paper is a nonlocal version of Harnack's inequality for a class of parabolic nonlocal equations. We additionally establish a weak Harnack inequality as well as local boundedness of solutions. None of the results require the solution to be globally positive.

Keywords

Cite

@article{arxiv.1802.07649,
  title  = {Harnack's Inequality for Parabolic Nonlocal Equations},
  author = {Martin Strömqvist},
  journal= {arXiv preprint arXiv:1802.07649},
  year   = {2018}
}
R2 v1 2026-06-23T00:29:01.094Z