Solution of the transmission problem

DOI10.1007/s10440-009-9522-5zbMath1204.31005OpenAlexW2047207946MaRDI QIDQ970528

Dagmar Medková

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9522-5

zbMATH Keywords

Laplace equationexplicit solutiondouble layer potentialtransmission problemsingle layer potential

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (max. 100)

Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds ⋮ Layer potential analysis for a Dirichlet‐transmission problem in Lipschitz domains in ℝⁿ

Cites Work

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• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• The method of layer potentials for non-smooth domains with arbitrary topology
• On the Besov regularity of conformal maps and layer potentials on nonsmooth domains.
• Transmission problems and spectral theory for singular integral operators on Lipschitz domains
• Solution of the Robin problem for the Laplace equation
• The third problem for the Laplace equation with a boundary condition from \(L_p\)
• On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains
• Weakly Differentiable Functions
• On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
• Regularity Properties of Solutions to Transmission Problems

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