Fractional Laplacian with Hardy potential
Analysis of PDEs
2017-11-06 v2 Functional Analysis
Probability
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.
Keywords
Cite
@article{arxiv.1710.08378,
title = {Fractional Laplacian with Hardy potential},
author = {Krzysztof Bogdan and Tomasz Grzywny and Tomasz Jakubowski and Dominika Pilarczyk},
journal= {arXiv preprint arXiv:1710.08378},
year = {2017}
}
Comments
small editorial changes, added literature, new title, 28 pages, 1 figure