Sobolev space methods for the Laplace equation in the exterior of the disk

DOI10.1007/BF01322550zbMath0828.35032MaRDI QIDQ1316452

Frank Penzel

Publication date: 4 January 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Mellin transformintegral equationFourier series

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Related Items (3)

A Wiener-Hopf approach for the scattering by a disk ⋮ Exact solution of some integral equations over a circular disc ⋮ Transformation of an axialsymmetric disk problem for the Helmholtz equation into an ordinary differential equation

Cites Work

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• Theory of Bessel potentials. I
• The solution of a mildly singular integral equation of the first kind on a ball
• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• The solution of mildly singular integral equation of the first kind on a disk
• Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball
• ORTHOGONAL POLYNOMIAL SOLUTIONS FOR PRESSURIZED ELLIPTICAL CRACKS
• Spaces with homogeneous norms
• Sobolev Space Methods for Dual Integral Equations in Axialsymmetric Screen Problems
• Sommerfeld Diffraction Problems with First and Second Kind Boundary Conditions

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