Boundary value problems for the Helmholtz equation in an octant
DOI10.1007/s00020-008-1628-zzbMath1180.35206OpenAlexW1986772396MaRDI QIDQ733630
Ernst Peter Stephan, Frank-Olme Speck
Publication date: 19 October 2009
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-008-1628-z
boundary value problemHelmholtz equationconvolution type operatorpseudodifferential equationdiffraction theoryquarter-plane problem
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Solutions to PDEs in closed form (35C05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)
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