Non-classical boundary value problems of elastostatics and hydrostatics on Lipschitz domains

DOI10.1002/mma.242zbMath1112.35350OpenAlexW2060330042MaRDI QIDQ2744192

Dorina Mitrea

Publication date: 19 September 2001

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.242

zbMATH Keywords

Stokes systemLipschitz domainsLamé system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for linear higher-order PDEs (35G15)

Cites Work

• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Estimates of harmonic measure
• Vector potential theory on nonsmooth domains in \(\mathbb{R}^ 3\) and applications to electromagnetic scattering
• The method of layer potentials for non-smooth domains with arbitrary topology
• The method of layer potentials in electromagnetic scattering theory on nonsmooth domains
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
• Boundary Value Problems for the Navier-Stokes Equations
• On Sensitive Vector Poisson and Stokes Problems

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