Fractional Laplacian with Hardy potential

By Krzysztof Bogdan, T. Grzywny, Tomasz Jakubowski, Dominika Pilarczyk. Communications in Partial Differential Equations, 2017

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Abstract We give sharp two-sided estimates of the semigroup generated by the fractional Laplacian plus the Hardy potential on , 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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7f450440d01aa00f5aab4f5b385ee3ccd079d56c