Maximal regularity for the Lamé system in certain classes of non-smooth domains

DOI10.1007/s00028-010-0071-1zbMath1239.35157OpenAlexW2020544297MaRDI QIDQ423436

Marius Mitrea, Sylvie Monniaux

Publication date: 2 June 2012

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

Full work available at URL: https://doi.org/10.1007/s00028-010-0071-1

zbMATH Keywords

maximal regularityLamé systemnon-smooth domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Groups and semigroups of linear operators (47D03) Regularity of solutions of equilibrium problems in solid mechanics (74G40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Quantitative uniqueness estimates for the generalized non-stationary Stokes system ⋮ Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ Critical regularity issues for the compressible Navier-Stokes system in bounded domains ⋮ On decay rate of solutions for the stationary Navier-Stokes equation in an exterior domain ⋮ L^p-Spectral Multipliers for some Elliptic Systems ⋮ Uniform resolvent estimates and absence of eigenvalues for Lamé operators with complex potentials ⋮ Asymptotic behavior of the stationary magnetohydrodynamic equations in an exterior domain ⋮ \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions

Cites Work

• The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains.
• On maximal regularity of type \(L^p-L^q\) under minimal assumptions for elliptic non-divergence operators
• On maximal \(L^p\)-regularity
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Real and complex interpolation and extrapolation of compact operators
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Resolvent estimates in \(L^ p\) for elliptic systems in Lipschitz domains
• Sobolev spaces on an arbitrary metric space
• On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds
• Extensions of Hardy spaces and their use in analysis
• The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Maximal regularity for the Lamé system in certain classes of non-smooth domains