English

Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with H\"older continuous coefficients

Analysis of PDEs 2019-08-30 v1

Abstract

We establish two-sided Gaussian bounds for fundamental solutions of general non-divergence form parabolic operators with H\"older continuous coefficients. The result we obtain is essentially based on parametrix method.

Keywords

Cite

@article{arxiv.1908.11054,
  title  = {Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with H\"older continuous coefficients},
  author = {Mourad Choulli and Giorgio Metafune},
  journal= {arXiv preprint arXiv:1908.11054},
  year   = {2019}
}