Dirichlet problem for the static elasticity equations outside curvilinear cracks on the plane

DOI10.1134/S0012266109090055zbMath1181.35284OpenAlexW2042322536MaRDI QIDQ1048384

N. Ch. Krutitskaya, P. A. Krutitskii

Publication date: 12 January 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109090055

zbMATH Keywords

integral representation of the solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral representations, integral operators, integral equations methods in two dimensions (31A10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

The 2D Dirichlet problem for the propagative Helmholtz equation in an exterior domain with cracks and singularities at the edges

Cites Work

• Neumann's problem for the Helmholtz equation outside cuts in the plane
• An explicit solution of the pseudo‐hyperbolic initial boundary value problem in a multiply connected region
• On properties of some integrals related to potentials for Stokes equations
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