Square function estimates on layer potentials for higher-order elliptic equations
Analysis of PDEs
2015-08-21 v1
Abstract
In this paper we establish square-function estimates on the double and single layer potentials for divergence-form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space. This generalizes known results for variable-coefficient second-order operators, and also for constant-coefficient higher-order operators.
Keywords
Cite
@article{arxiv.1508.04988,
title = {Square function estimates on layer potentials for higher-order elliptic equations},
author = {Ariel Barton and Steve Hofmann and Svitlana Mayboroda},
journal= {arXiv preprint arXiv:1508.04988},
year = {2015}
}