The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications

DOI10.1007/978-3-319-59384-5_6zbMath1414.35075OpenAlexW2755464851MaRDI QIDQ4562840

Alberto Cialdea

Publication date: 18 December 2018

Published in: Integral Methods in Science and Engineering, Volume 1 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59384-5_6

zbMATH Keywords

boundary value problemssingular integral equationMuskhelishvili method

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (2)

On the traction problem for steady elastic oscillations equations: the double layer potential ansatz ⋮ On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation

Cites Work

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• A multiple-layer potential theory alternative to Agmon's
• On the Dirichlet problem for the Stokes system in multiply connected domains
• The multiple layer potential for the biharmonic equation in \(n\) variables
• ON AN INTEGRAL EQUATION OF THE FIRST KIND ARISING IN THE THEORY OF COSSERAT
• New integral representations in the linear theory of viscoelastic materials with voids
• On the Dirichlet and the Neumann problems for Laplace equation in multiply connected domains
• Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I
• A complement to potential theory in the Cosserat elasticity

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