A version of Runge's theorem for the Helmholtz equation with applications to scattering theory

DOI10.1017/S0013091500006957zbMath0646.35015OpenAlexW2141807368MaRDI QIDQ3789970

R. L. jun. Ochs

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500006957

zbMATH Keywords

Helmholtz equationapproximation propertyinverse acoustic scatteringRunge's theorementire Herglotz wave functionlimited aperture problemsound- hard obstacle

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• On solutions of the Helmholtz equation in exterior domains
• Über die ganzen Lösungen der Wellengleichung
• A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves in the Resonance Region
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN A PENETRABLE MEDIUM
• The Numerical Solution of the Three-Dimensional Inverse Scattering Problem for Time Harmonic Acoustic Waves
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
• A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves in the Resonance Region II
• The Limited Aperture Problem of Inverse Acoustic Scattering: Dirichlet Boundary Conditions
• Generalized herglotz domains

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