Inverse random source problems for time-harmonic acoustic and elastic waves

DOI10.1080/03605302.2020.1774895zbMath1461.78007arXiv1811.12478OpenAlexW3033684160MaRDI QIDQ4966063

Tapio Helin, Peijun Li, Jianliang Li

Publication date: 18 March 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12478

zbMATH Keywords

uniquenessHelmholtz equationelastic wave equationinverse source problemNavier equationGaussian random function

Mathematics Subject Classification ID

Random fields (60G60) Wave scattering in solid mechanics (74J20) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical solutions to stochastic differential and integral equations (65C30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (15)

The factorization method and Capon’s method for random source identification in experimental aeroacoustics ⋮ Regularity of distributional solutions to stochastic acoustic and elastic scattering problems ⋮ Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns ⋮ An Inverse Random Source Problem for the Biharmonic Wave Equation ⋮ Inverse problem for a random Schrödinger equation with unknown source and potential ⋮ Inverse Elastic Scattering for a Random Potential ⋮ Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem ⋮ Inverse Random Potential Scattering for Elastic Waves ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ Determining a random Schrödinger operator: both potential and source are random ⋮ An Inverse Random Source Problem for Maxwell's Equations ⋮ An inverse random source problem for the one-dimensional Helmholtz equation with attenuation ⋮ On recent progress of single-realization recoveries of random Schrödinger systems ⋮ Inverse Random Source Scattering for the Helmholtz Equation with Attenuation ⋮ Inverse Elastic Scattering for a Random Source

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