Fractional calculus for power functions
Analysis of PDEs
2011-10-27 v2 Probability
Abstract
We calculate the fractional Laplacian for functions of the form and . As an application, we estimate the first eigenvalues of the fractional Laplacian in a ball.
Cite
@article{arxiv.1103.3387,
title = {Fractional calculus for power functions},
author = {Bartłomiej Dyda},
journal= {arXiv preprint arXiv:1103.3387},
year = {2011}
}
Comments
18 pages, added Proposition 2 and references, some minor corrections