English

An integro-differential equation without continuous solutions

Analysis of PDEs 2015-08-25 v1

Abstract

We show an example of a non-symmetric integro-differential equation of order α\alpha, for α(0,1)\alpha \in (0,1), for which H\"older estimates do not hold even though the kernels are comparable to the fractional Laplacian.

Keywords

Cite

@article{arxiv.1508.05410,
  title  = {An integro-differential equation without continuous solutions},
  author = {Luis Silvestre and Stanley Snelson},
  journal= {arXiv preprint arXiv:1508.05410},
  year   = {2015}
}

Comments

6 pages

R2 v1 2026-06-22T10:39:10.125Z