55 citations · 230 across the 22 of their papers we have counts for
3 papers · 2 filters
Fractional Laplace operator and Meijer G-function
Bartłomiej Dyda, Alexey Kuznetsov, Mateusz Kwaśnicki
We significantly expand the number of functions whose image under the fractional Laplace operator can be computed explicitly. In particular, we show that the fractional Laplace ope…
Eigenvalues of the fractional Laplace operator in the unit ball
Bartłomiej Dyda, Alexey Kuznetsov, Mateusz Kwaśnicki
We describe a highly efficient numerical scheme for finding two-sided bounds for the eigenvalues of the fractional Laplace operator (-Delta)^{alpha/2} in the unit ball D in R^d, wi…
Regularity estimates for elliptic nonlocal operators
Bartlomiej Dyda, Moritz Kassmann
We study weak solutions to nonlocal equations governed by integrodifferential operators. Solutions are defined with the help of symmetric nonlocal bilinear forms. Throughout this w…