Uniqueness for the determination of sound-soft defects in an inhomogeneous planar medium by acoustic boundary measurements

DOI10.1090/S0002-9947-02-03105-7zbMath1112.35357MaRDI QIDQ3151284

Luca Rondi

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Inverse problems for waves in solid mechanics (74J25)

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Cites Work

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• Inverse acoustic and electromagnetic scattering theory.
• Problemi al contorno ellittici, con dati discontinui, dotati di soluzioni hölderiane
• On uniqueness in th invese transmission scattering problem
• Eigenvalues of the Laplacian in Two Dimensions
• Weakly Differentiable Functions
• On recovering obstacles inside inhomogeneities
• Elliptic Equations in Divergence Form, Geometric Critical Points of Solutions, and Stekloff Eigenfunctions
• Inverse scattering from an open arc
• Recent Developments in Inverse Acoustic Scattering Theory
• Optimal stability estimates for the determination of defects by electrostatic measurements
• Unique Determination of Multiple Cracks by Two Measurements
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
• Inverse problems for partial differential equations