Spectral properties for layer potentials associated to the Stokes equation in Lipschitz domains

DOI10.1007/s00229-009-0292-1zbMath1180.31007OpenAlexW2001974515MaRDI QIDQ1034709

Tong Keun Chang, Dae Hyeon Pahk

Publication date: 6 November 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0292-1

zbMATH Keywords

spectral propertiestransmission problemsStokes equation

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Two-phase Stokes flow by capillarity in the plane: the case of different viscosities ⋮ Transmission problem for the Brinkman system ⋮ Integral equation method for the first and second problems of the Stokes system ⋮ Two-dimensional Stokes–Brinkman cell model – a boundary integral formulation ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Interface boundary value problems of Robin-transmission type for the Stokes and Brinkman systems on n -dimensional Lipschitz domains: applications

Cites Work

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• Spectral properties of the layer potentials on Lipschitz domains
• Spectral properties of the layer potentials associated with elasticity equations and transmission problems on 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
• Potential techniques for boundary value problems on \(C^1\)-domains
• Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains
• Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Transmission problems and spectral theory for singular integral operators on Lipschitz domains
• On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries

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