Inverse Elastic Scattering for a Random Source

DOI10.1137/18M1235119zbMath1427.74074arXiv1812.09646MaRDI QIDQ5243368

Peijun Li, Jianliang Li

Publication date: 18 November 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09646

zbMATH Keywords

uniquenesselastic wave equationinverse source problemLippmann-Schwinger integral equationGaussian random function

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Variational methods for second-order elliptic equations (35J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Regularity of distributional solutions to stochastic acoustic and elastic scattering problems ⋮ Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns ⋮ Inverse problem for a random Schrödinger equation with unknown source and potential ⋮ Inverse Elastic Scattering for a Random Potential ⋮ Inverse Random Potential Scattering for Elastic Waves ⋮ Inverse elastic scattering by random periodic structures ⋮ An Inverse Random Source Problem for Maxwell's Equations ⋮ An inverse random source problem for the one-dimensional Helmholtz equation with attenuation ⋮ Inverse Random Source Scattering for the Helmholtz Equation with Attenuation

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