The Dirichlet problem for the Helmholtz equation

DOI10.1007/BF00285433zbMath0132.33701OpenAlexW1986625067MaRDI QIDQ2395547

Ralph E. Kleinman

Publication date: 1965

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00285433

zbMATH Keywords

partial differential equations

Related Items (18)

On the reconstruction of low-frequency moments in acoustic scattering ⋮ A Note on an Inverse Scattering Problem ⋮ Inverse scattering for an accoustically soft scatterer in the low-frequency region ⋮ On the relationship between boundary value problems ⋮ Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves ⋮ The analytic continuation of solutions to elliptic boundary value problems in two independent variables ⋮ An algebraic calculation method for the acoustic low frequency expansion ⋮ An algebraic formula for the accelerated computation of the low frequency scattering coefficients: the case of the acoustically soft sphere ⋮ A perturbation solution for long wavelength thermoacoustic propagation in dispersions ⋮ The exterior Dirichlet problem for the Helmholtz equation ⋮ Explicit representation of the Green's function for the three-dimensional exterior Helmholtz equation ⋮ The exterior Robin problem for the Helmholtz equation ⋮ The exterior Neumann problem for the three-dimensional Helmholtz equation ⋮ On the approximate solution of elliptic, self adjoint boundary value problems ⋮ Low energy scattering by an inhomogeneous medium and by a potential ⋮ On constructing the solution to the exterior Dirichlet problem for the Helmholtz equation ⋮ An analytic algorithm for shape reconstruction from low-frequency moments ⋮ The solution spaces for integral equations of the scattering theory

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• Fragen der Eindeutigkeit und des Verhaltens im Unendlichen für Lösungen von \(\Delta u+k^2 u=0\)
• Zur Methode der Strahlungskapazität von H. Weyl
• A Generalization of Theorems of Rellich and Atkinson
• SCALAR DIFFRACTION BY A PROLATE SPHEROID AT LOW FREQUENCIES
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