M. Vaughan

activity

20182024

most citedOne-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

10 citations · 10 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2024

Interior Schauder estimates for fractional elliptic equations in nondivergence form

P. R. Stinga, M. Vaughan

We obtain sharp interior Schauder estimates for solutions to nonlocal Poisson problems driven by fractional powers of nondivergence form elliptic operators $(-a^{ij}(x) \partial_{i…

math.AP2020

Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality

P. R. Stinga, M. Vaughan

We define the fractional powers $L^{s} = (- a^{ij} (x) \partial_{ij})^{s}$ , $0 < s < 1$ , of nondivergence form elliptic operators $L = - a^{ij} (x) \partial_{ij}$ in bounded domains $Ω\subset\ma…

math.FA2018

The Dual Kaczmarz Algorithm

Anna Aboud, Emelie Curl, Steven N. Harding +2

The Kaczmarz algorithm is an iterative method for solving a system of linear equations. It can be extended so as to reconstruct a vector $x$ in a (separable) Hilbert space from the…

math.CA2018★ 10 cited

One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

P. R. Stinga, M. Vaughan

We characterize one-sided weighted Sobolev spaces $W^{1, p} (R, ω)$ , where $ω$ is a one-sided Sawyer weight, in terms of a.e.~and weighted $L^{p}$ limits as $α \to 1^{-}$ of Marcha…