Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems

DOI10.1112/plms/pdu008zbMath1310.35109arXiv1306.4115OpenAlexW3104565912MaRDI QIDQ2921108

Mihalis Mourgoglou, Pascal Auscher

Publication date: 30 September 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4115

zbMATH Keywords

boundary value problemselliptic systems in divergence form

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Variational methods for elliptic systems (35J50) (H^p)-spaces (42B30) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Tent space boundedness via extrapolation, The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains, Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms, Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces, Representation and uniqueness for boundary value elliptic problems via first order systems, 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, The Dirichlet problem with BMO boundary data and almost-real coefficients, Dirichlet and Neumann boundary values of solutions to higher order elliptic equations, The 𝐿^{𝑝} Dirichlet boundary problem for second order elliptic Systems with rough coefficients

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