Inverse acoustic scattering problem in half-space with anisotropic random impedance

DOI10.1016/J.JDE.2016.11.006zbMath1456.35231arXiv1407.2481OpenAlexW2962817357MaRDI QIDQ729883

Tapio Helin, Lassi Päivärinta, Matti Lassas

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2481

zbMATH Keywords

invertibility of an anisotropic spherical Radon transformprobabilistic impedance boundary value condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns ⋮ Inverse Elastic Scattering for a Random Potential ⋮ Inverse Random Potential Scattering for Elastic Waves ⋮ Detecting stochastic inclusions in electrical impedance tomography ⋮ A Data-Assisted Two-Stage Method for the Inverse Random Source Problem ⋮ Correlation imaging in inverse scattering is tomography on probability distributions ⋮ Inverse random source problems for time-harmonic acoustic and elastic waves ⋮ Inverse scattering for a random potential ⋮ Inverse Elastic Scattering for a Random Source ⋮ An inverse random source problem in a stochastic fractional diffusion equation

Cites Work

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• Wave propagation in waveguides with random boundaries
• Inverse problem for the wave equation with a white noise source
• Corrector theory for elliptic equations in random media with singular Green's function. Application to random boundaries
• Multidimensional weakly singular integral equations
• Corners always scatter
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Inverse scattering problem for a two dimensional random potential
• Partial differential equations. III: Nonlinear equations.
• The Helmholtz equation in a locally perturbed half-space with non-absorbing boundary
• The Helmholtz equation with impedance in a half-plane
• Injectivity sets for the Radon transform over circles and complete systems of radial functions
• Wave propagation and time reversal in randomly layered media.
• The Helmholtz equation with impedance in a half-space
• An inverse random source problem for the Helmholtz equation
• The inverse Robin boundary value problem in a half-space
• The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
• Inverse Scattering in a Half Space with Passive Boundary
• Radiative transport limit for the random Schrödinger equation
• The inverse scattering problem with impedance boundary in a half-space
• A boundary integral equation formulation for the Helmholtz equation in a locally perturbed half-plane
• Imaging and time reversal in random media
• The inverse scattering problem for the acoustic equation in a half-space
• Inverse acoustic and electromagnetic scattering theory

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