The Neumann problem for the dissipative Helmholtz equation in the exterior of open Lipschitz surfaces

DOI10.1080/17476933.2012.709849zbMath1281.35010OpenAlexW2106457859MaRDI QIDQ2862983

P. A. Krutitskii

Publication date: 20 November 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.709849

zbMATH Keywords

boundary value problemcracksintegral equation methodtheory of potentials

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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)

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 wave propagation in a 2-D external domain with cuts
• The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
• The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves
• 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
• Unnamed Item

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