Bounds on layer potentials with rough inputs for higher order elliptic equations

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.

44 pages, to appear in the Proceedings of the London Mathematical Society

References in corpus (1)

• The method of layer potentials in $L^p$ and endpoint spaces for elliptic operators with $L^{\infty }$ coefficients