Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations

Ariel Barton, Steve Hofmann, Svitlana Mayboroda

Type: Article

Publication Date: 2020-02-27

Citations: 2

DOI: https://doi.org/10.1093/imrn/rnaa051

Abstract

Abstract We solve the Neumann problem, with nontangential estimates, for higher-order divergence form elliptic operators with variable $t$-independent coefficients. Our results are accompanied by nontangential estimates on higher-order layer potentials.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota
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