The Dirichlet problem for the dissipative Helmholtz equation in a plane domain bounded by closed and open curves

DOI10.32917/HMJ/1206126877zbMath0909.35036OpenAlexW1914390125WikidataQ128872578 ScholiaQ128872578MaRDI QIDQ1392519

P. A. Krutitskii

Publication date: 30 March 1999

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206126877

zbMATH Keywords

existenceuniquenesspotential theoryclassical solutioncutsFredholm equation of second kind

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations with kernels of Cauchy type (45E05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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Improved quadrature formula for a single-layer potential ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ On mistaken papers by Gouzheng Yan et al and related papers, and on a paper by Weibing Wang and Xuxin Yang ⋮ Wave diffraction by wedges having arbitrary aperture angle ⋮ Scattering of 2-D waves by several obstacles and screens in case of Neumann boundary condition ⋮ Properties of solutions of the Dirichlet problem for the Helmholtz equation in a two-dimensional domain with cuts ⋮ Quadrature formula for the double layer potential with differentiable density

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