On the traction problem for steady elastic oscillations equations: the double layer potential ansatz

DOI10.1007/s12215-022-00775-2zbMath1524.74048OpenAlexW4283793572MaRDI QIDQ6159164

Alberto Cialdea, Angelica Malaspina, Vita Leonessa

Publication date: 1 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00775-2

zbMATH Keywords

potential theoryintegral representationssteady oscillations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Integral representations of solutions to PDEs (35C15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

• The Dirichlet problem for second-order divergence form elliptic operators with variable coefficients: the simple layer potential ansatz
• A boundary integral equations approach for mixed impedance problems in elasticity
• Steady state oscillation problems in the theory of elasticity for chiral materials
• On the Dirichlet and the Neumann problems for Laplace equation in multiply connected domains
• On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation
• Mixed impedance transmission problems for vibrating layered elastic bodies
• The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications
• On the double layer potential ansatz for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>-dimensional Helmholtz equation with Neumann condition
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