Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation

DOI10.1016/j.jfa.2018.08.002zbMath1400.35196arXiv1603.04036OpenAlexW2558810859WikidataQ129396888 ScholiaQ129396888MaRDI QIDQ1671380

Junxiong Jia, Jing-Huai Gao, Ji-Gen Peng, Shi-Gang Yue

Publication date: 6 September 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04036

zbMATH Keywords

inverse scattering problemfractional Laplace operatorBayesian inverse methodfractional Helmholtz equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items (5)

Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems ⋮ A Bayesian level set method for an inverse medium scattering problem in acoustics ⋮ Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption ⋮ A new sparse recovery method for the inverse acoustic scattering problem ⋮ Recursive linearization method for inverse medium scattering problems with complex mixture Gaussian error learning

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