Dirichlet problem for the Helmholtz equation in an exterior two-dimensional domain with cuts without matching conditions at the cut endpoints

DOI10.1134/S001226611409002XzbMath1321.35011OpenAlexW2088117936WikidataQ115251599 ScholiaQ115251599MaRDI QIDQ486258

P. A. Krutitskii

Publication date: 15 January 2015

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

Full work available at URL: https://doi.org/10.1134/s001226611409002x

zbMATH Keywords

Dirichlet problemHelmholtz equation

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)

Cites Work

• The 2D Dirichlet problem for the propagative Helmholtz equation in an exterior domain with cracks and singularities at the edges
• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• The Dirichlet problem for the 2D-Laplace equation in a domain with cracks without compatibility conditions at tips of the cracks
• On properties of some integrals related to potentials for Stokes equations
• On mistaken papers by Gouzheng Yan et al and related papers, and on a paper by Weibing Wang and Xuxin Yang
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