Inverse Random Source Scattering for the Helmholtz Equation with Attenuation

DOI10.1137/19M1309456zbMath1465.78003arXiv1911.11189OpenAlexW3140307638MaRDI QIDQ4986539

Peijun Li, Xu Wang

Publication date: 27 April 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11189

zbMATH Keywords

Helmholtz equationpseudodifferential operatorinverse scattering problemprincipal symbolrandom sourcefractional Gaussian field

Mathematics Subject Classification ID

Random fields (60G60) Pseudodifferential operators as generalizations of partial differential operators (35S05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (12)

Exact and approximate solutions to the Helmholtz, Schrödinger and wave equation in \(\mathbf{R}^3\) with radial data ⋮ 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 Elastic Scattering for a Random Potential ⋮ Inverse Random Potential Scattering for Elastic Waves ⋮ Inverse elastic scattering by random periodic structures ⋮ Inverse Scattering for the Biharmonic Wave Equation with a Random Potential ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ On recent progress of single-realization recoveries of random Schrödinger systems ⋮ An inverse source problem for the stochastic wave equation ⋮ The backward problem of stochastic convection-diffusion equation

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