The Neumann problem for the equation Δ𝑢-𝑘²𝑢=0 in the exterior of non-closed Lipschitz surfaces

DOI10.1090/S0033-569X-2013-01319-4zbMath1286.35091OpenAlexW1573914436MaRDI QIDQ5402129

P. A. Krutitskii

Publication date: 5 March 2014

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2013-01319-4

zbMATH Keywords

weak solutionNeumann problemintegral representation for a solutionexterior of non-closed Lipschitz surfaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Weak solutions to PDEs (35D30) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (1)

Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies

Cites Work

• Problem of diffraction at a fine screen
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• The Neumann problem on Lipschitz domains
• The neumann problem in a plane domain bounded by closed and open curves
• The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips
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