Heat Kernel Estimates for Schr\"odinger Operators in the Domain Above a Bounded Lipschitz Function
Analysis of PDEs
2025-01-13 v1 Probability
Abstract
We give matching upper and lower bounds for the Dirichlet heat kernel of a Schr\"odinger operator in the domain above the graph of a bounded Lipschitz function, in the case when decays away from the boundary faster than quadratically.
Cite
@article{arxiv.2501.05641,
title = {Heat Kernel Estimates for Schr\"odinger Operators in the Domain Above a Bounded Lipschitz Function},
author = {Anthony Graves-McCleary},
journal= {arXiv preprint arXiv:2501.05641},
year = {2025}
}
Comments
16 pages