Bounds on layer potentials with rough inputs for higher order elliptic equations
Analysis of PDEs
2019-08-20 v2
Abstract
In this paper we establish square-function estimates on the double and single layer potentials with rough inputs for divergence form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space.
Keywords
Cite
@article{arxiv.1703.06847,
title = {Bounds on layer potentials with rough inputs for higher order elliptic equations},
author = {Ariel Barton and Steve Hofmann and Svitlana Mayboroda},
journal= {arXiv preprint arXiv:1703.06847},
year = {2019}
}
Comments
44 pages, to appear in the Proceedings of the London Mathematical Society