On a transmission problem for two systems of elastostatics with polygonal interface

DOI10.1007/BF01203915zbMath0841.35029MaRDI QIDQ1906904

Lorenza Diomeda, Benedetta Lisena

Publication date: 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

fundamental solutionboundary integral equationsinvertibilityinterface problemLamé operatorcurvilinear polygon

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral representations of solutions to PDEs (35C15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items (1)

Singular Integral Operators on C 1 Manifolds and C 1 Curvilinear Polygons

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
• A Symbolic Calculus for Layer Potentials on C 1 Curves and C 1 Curvilinear Polygons
• Pseudodifferential operators of mellin type
• Layer Potentials for Elastostatics and Hydrostatics in Curvilinear Polygonal Domains
• On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
• Regularity Properties of Solutions to Transmission Problems
• General interface problems—I
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