English

Sub-Gaussian heat kernel estimates for reflected diffusion on inner uniform domains

Probability 2025-10-07 v1 Functional Analysis Metric Geometry

Abstract

We prove that sub-Gaussian heat kernel estimates are inherited from a diffusion process on the ambient space to the reflected diffusion process on a subset which is an inner uniform domain.

Keywords

Cite

@article{arxiv.2510.04725,
  title  = {Sub-Gaussian heat kernel estimates for reflected diffusion on inner uniform domains},
  author = {Riku Anttila},
  journal= {arXiv preprint arXiv:2510.04725},
  year   = {2025}
}

Comments

21 pages, comments are welcome!

R2 v1 2026-07-01T06:18:55.859Z