paper

Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function

arXiv:2501.05641

Abstract

We give matching upper and lower bounds for the Dirichlet heat kernel of a Schrödinger operator in the domain above the graph of a bounded Lipschitz function, in the case when decays away from the boundary faster than quadratically.

16 pages

Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function · wovepaper