Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces

DOI10.1016/j.jde.2008.11.021zbMath1169.35011OpenAlexW2016669514MaRDI QIDQ1007262

Chérif Amrouche, Florian Bonzom

Publication date: 20 March 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.021

zbMATH Keywords

a priori estimatesweighted Sobolev spacesLaplacianexterior problemshalf-spaceDirichlet and Neumann boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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