English

Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential term

Analysis of PDEs 2022-10-03 v1

Abstract

We prove global Sobolev regularity and pointwise upper bounds for the gradient of transition densities associated with second order differential operators in Rd\mathbb{R}^d with unbounded diffusion, drift and potential terms.

Keywords

Cite

@article{arxiv.2209.15358,
  title  = {Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential term},
  author = {Markus Kunze and Marianna Porfido and Abdelaziz Rhandi},
  journal= {arXiv preprint arXiv:2209.15358},
  year   = {2022}
}

Comments

24 pages, no figures