M. Vaughan

collaborators

3 papers

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

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…