Gaussian estimates for Schroedinger perturbations
Krzysztof Bogdan, Karol Szczypkowski
TL;DR
This paper establishes optimal Gaussian estimates for Schrödinger perturbations of transition densities, introducing a new general estimation method with applications to the Gaussian kernel.
Contribution
It presents a novel method for estimating Schrödinger perturbations and proves an optimal 4G theorem for the Gaussian kernel.
Findings
Proved an optimal 4G theorem for the Gaussian kernel
Developed a new general estimation method for Schrödinger perturbations
Applied the method to obtain estimates for the Gaussian kernel
Abstract
We prove an optimal 4G Theorem for the Gaussian kernel. We also propose a new general method of estimating Schroedinger perturbations of transition densities, and give applications to the Gaussian kernel.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Stochastic processes and financial applications