Fractional Laplacian with Hardy potential

Dominika Pilarczyk; Krzysztof Bogdan; Tomasz Grzywny; Tomasz Jakubowski

arxiv: 1710.08378 · v2 · pith:K4NMIEEHnew · submitted 2017-10-23 · 🧮 math.AP · math.FA· math.PR

Fractional Laplacian with Hardy potential

Krzysztof Bogdan , Tomasz Grzywny , Tomasz Jakubowski , Dominika Pilarczyk This is my paper

classification 🧮 math.AP math.FAmath.PR

keywords fractionalhardylaplacianmethodpotentialanalysisback-to-backcase

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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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Fractional Laplacian with Hardy potential

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