Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves

DOI10.1007/BF02754305zbMath0993.76040MaRDI QIDQ5951160

I. K. Lifanov, Gennadi Vainikko

Publication date: 6 May 2002

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

zbMATH Keywords

diffractionsingular solutionslinear operatorsHilbert kernel\(H\)-polarized waveabsolute conductorCauchy type integral operatorscurrent threadmechanics of wingspseudodifferential operators on closed curvesingular integral equations of second kindSobolev weighted spaces

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

Quantization of pseudo-differential operators on the torus ⋮ Distributions on Hilbert spaces and singular integral equations

Cites Work

• A fast algorithm for solving the generalized airfoil equation
• Integral Equation Methods in Scattering Theory
• Fast collocation solvers for integral equations on open arcs
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