An inverse random source scattering problem in inhomogeneous media

DOI10.1088/0266-5611/27/3/035004zbMath1217.34131OpenAlexW2017616467MaRDI QIDQ3086005

Peijun Li

Publication date: 29 March 2011

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/13d75be46a9ad5940860d9f861048cab91efa275

zbMATH Keywords

Wiener processtwo-point boundary value problemscattering problemrandom wave fieldone-dimensional stochastic Helmholtz equation

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (27)

Hierarchical sparse observation models and informative prior for Bayesian inference of spatially varying parameters ⋮ Inverse Random Source Scattering Problems in Several Dimensions ⋮ SAR correlation imaging and anisotropic scattering ⋮ Stability on the inverse random source scattering problem for the one-dimensional Helmholtz equation ⋮ Inverse Random Source Scattering for Elastic Waves ⋮ Inverse Elastic Scattering for a Random Potential ⋮ Stability for the electromagnetic inverse source problem in inhomogeneous media ⋮ Stability of inverse random source scattering problems in a multi-layered medium ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ Inverse random source scattering for the Helmholtz equation in inhomogeneous media ⋮ Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves ⋮ Simultaneous Determination of Two Coefficients in Itô Diffusion Processes: Theoretical and Numerical Approaches ⋮ Finite volume method for solving the stochastic Helmholtz equation ⋮ Stability for the Acoustic Inverse Source Problem in Inhomogeneous Media ⋮ An inverse random source problem for the one-dimensional Helmholtz equation with attenuation ⋮ Radiating and non-radiating sources in elasticity ⋮ Correlation imaging in inverse scattering is tomography on probability distributions ⋮ Reconstruction of a compactly supported sound profile in the presence of a random background medium ⋮ Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation ⋮ Stability for the inverse source problems in elastic and electromagnetic waves ⋮ Cauchy problem of non-homogenous stochastic heat equation and application to inverse random source problem ⋮ Inverse random source problems for time-harmonic acoustic and elastic waves ⋮ An inverse source problem for the stochastic wave equation ⋮ Inverse Elastic Scattering for a Random Source ⋮ An inverse random source problem in a stochastic fractional diffusion equation ⋮ An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion ⋮ An inverse random source problem for the Helmholtz equation

This page was built for publication: An inverse random source scattering problem in inhomogeneous media