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arXiv · 1606.03745

Characterization of sharp global Gaussian estimates for Schr\"odinger heat kernels

Krzysztof Bogdan·Jacek Dziubański·Karol Szczypkowski
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Abstract

We investigate when the fundamental solution of the Schr\"odinger equation $\partial_t=\Delta+V$ posseses sharp Gaussian bounds global in space and time. We give a characterization for $V\leq 0$ and a sufficient condition for general $V$.

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Krzysztof Bogdan, Jacek Dziubański, Karol Szczypkowski. 2016-06-12. Characterization of sharp global Gaussian estimates for Schr\"odinger heat kernels. https://arxiv.org/abs/1606.03745

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