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arXiv · 1710.08378

Fractional Laplacian with Hardy potential

Krzysztof Bogdan·Tomasz Grzywny·Tomasz Jakubowski·Dominika Pilarczyk
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Abstract

We give sharp two-sided estimates of the semigroup generated by the fractional Laplacian plus the Hardy potential on $\mathbb{R}^d$, including the case of the critical constant. We use Davies' method back-to-back with a new method of integral analysis of Duhamel's formula.

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Krzysztof Bogdan, Tomasz Grzywny, Tomasz Jakubowski, Dominika Pilarczyk. 2017-10-23. Fractional Laplacian with Hardy potential. https://arxiv.org/abs/1710.08378

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