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Fractional Laplacian with Hardy potential

Published 23 Oct 2017 in math.AP, math.FA, and math.PR | (1710.08378v2)

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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