Square function estimates on layer potentials for higher‐order elliptic equations

DOI10.1002/mana.201600116zbMath1381.35035arXiv1508.04988OpenAlexW2963854679MaRDI QIDQ4598737

Ariel Barton, Svitlana Mayboroda, Steven Hofmann

Publication date: 15 December 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04988

zbMATH Keywords

square function estimateslayer potentialshigher-order elliptc equations

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Higher-order elliptic equations (35J30)

Related Items (8)

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ Higher order Poisson kernels and \(L^p\) polyharmonic boundary value problems in Lipschitz domains ⋮ The Neumann problem for higher order elliptic equations with symmetric coefficients ⋮ The Ẇ−1,p Neumann problem for higher order elliptic equations ⋮ Trace and extension theorems relating Besov spaces to weighted averaged Sobolev spaces ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients ⋮ Dirichlet and Neumann boundary values of solutions to higher order elliptic equations

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