An \(L^p\) theory of linear elasticity in the half-space

DOI10.1016/j.jde.2012.04.009zbMath1303.35023OpenAlexW2046590773MaRDI QIDQ432480

Yves Raudin, Chérif Amrouche, Marc Dambrine

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.jde.2012.04.009

zbMATH Keywords

linear elasticityweighted Sobolev spacesNeumann boundary conditionshalf-space

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Classical linear elasticity (74B05) Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Strong solutions to PDEs (35D35) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

New boundary conditions for the computation of the apparent stiffness of statistical volume elements ⋮ Analysis of a Mogi-type model describing surface deformations induced by a magma chamber embedded in an elastic half-space ⋮ On an elastic model arising from volcanology: an analysis of the direct and inverse problem ⋮ Analysis of a model of elastic dislocations in geophysics

Cites Work

• The Neumann problem in the half-space
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• The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Very weak, generalized and strong solutions to the Stokes system in the half-space
• Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
• The finite element method with Lagrangian multipliers
• Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition
• A multiscale correction method for local singular perturbations of the boundary
• INTERACTIONS BETWEEN MODERATELY CLOSE INCLUSIONS FOR THE LAPLACE EQUATION
• Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
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