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arXiv · 2501.05641

Heat Kernel Estimates for Schr\"odinger Operators in the Domain Above a Bounded Lipschitz Function

Anthony Graves-McCleary
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Abstract

We give matching upper and lower bounds for the Dirichlet heat kernel of a Schr\"odinger operator $\Delta+W$ in the domain above the graph of a bounded Lipschitz function, in the case when $W$ decays away from the boundary faster than quadratically.

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Anthony Graves-McCleary. 2025-01-10. Heat Kernel Estimates for Schr\"odinger Operators in the Domain Above a Bounded Lipschitz Function. https://arxiv.org/abs/2501.05641

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