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arXiv · 2009.07001

Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

Kazuhiro Ishige·Yujiro Tateishi
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Abstract

Let $H:=-Δ+V$ be a nonnegative Schrödinger operator on $L^2({\bf R}^N)$, where $N\ge 2$ and $V$ is an inverse square potential. In this paper we obtain sharp decay estimates of the operator norms of $e^{-tH}$ and $\nabla e^{-tH}$ in Lorentz spaces.

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Kazuhiro Ishige, Yujiro Tateishi. 2020-09-15. Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. https://arxiv.org/abs/2009.07001

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