Sobolev Space Methods for Dual Integral Equations in Axialsymmetric Screen Problems

DOI10.1137/0523065zbMath0756.45007OpenAlexW2087426001MaRDI QIDQ4020408

Frank Penzel

Publication date: 16 January 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523065

zbMATH Keywords

Sobolev spacesdual integral equationspotential theoryLaplace equationsystem of singular integral equationssymbolfractional integralsWiener-Hopf equationsWiener-algebra

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Boundary value problems in the complex plane (30E25) Dual, triple, etc., integral and series equations (45F10)

Related Items (6)

A Wiener-Hopf approach for the scattering by a disk ⋮ Gemischte Fourier‐Randelementmethoden zur Berechnung zeitharmonischer Streufelder an Schirmen ⋮ A Characterization of the range of a finite convolution operator with a hankel kernel ⋮ Transformation of an axialsymmetric disk problem for the Helmholtz equation into an ordinary differential equation ⋮ A new and self-contained presentation of the theory of boundary operators for slit diffraction and their logarithmic approximations ⋮ Sobolev space methods for the Laplace equation in the exterior of the disk

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