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- W4297044129 abstract "We characterize functions $Vle 0$ for which the heat kernel of the Schro-dinger operator $Delta+V$ is comparable with the Gauss-Weierstrass kernel uniformly in space and time. In dimension $4$ and higher the condition turns out to be more restrictive than the condition of the boundedness of the Newtonian potential of $V$. This resolves the question of V.~Liskevich and Y.~Semenov posed in 1998. We also give specialized sufficient conditions for the comparability, showing that local $L^p$ integrability of $V$ for $p>1$ is not necessary for the comparability." @default.
- W4297044129 created "2022-09-26" @default.
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- W4297044129 date "2017-06-19" @default.
- W4297044129 modified "2023-09-25" @default.
- W4297044129 title "Sharp Gaussian estimates for heat kernels of Schrodinger operators" @default.
- W4297044129 doi "https://doi.org/10.48550/arxiv.1706.06172" @default.
- W4297044129 hasPublicationYear "2017" @default.
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