Uncertainty Principles for Inverse Source Problems, Far Field Splitting, and Data Completion

DOI10.1137/16M1086157zbMath1366.35239arXiv1607.05678MaRDI QIDQ2957323

John Sylvester, Roland Griesmaier

Publication date: 26 January 2017

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

Full work available at URL: https://arxiv.org/abs/1607.05678

zbMATH Keywords

Helmholtz equationuncertainty principlesinverse source problemdata completionstable recoveryfar field splitting

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (8)

Uncertainty principles for inverse source problems for electromagnetic and elastic waves ⋮ Statistical inverse estimation of source terms in the Helmholtz equation ⋮ Uncertainty Principles for Three-Dimensional Inverse Source Problems ⋮ Monotonicity in inverse obstacle scattering on unbounded domains ⋮ Uniqueness of an inverse source problem in experimental aeroacoustics ⋮ Inverse Source Problems for Maxwell's Equations and the Windowed Fourier Transform ⋮ Monotonicity in Inverse Medium Scattering on Unbounded Domains ⋮ Stability of the inverse source problem for the Helmholtz equation in R³

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