On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem

DOI10.1134/S0001434618110093zbMath1417.31006OpenAlexW2907469554WikidataQ128688869 ScholiaQ128688869MaRDI QIDQ668281

Juan-Miguel Gracia

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110093

zbMATH Keywords

harmonic functionsNewtonian potentialscompleteness in \(L_2\)

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items

Completeness of the asymmetric products of solutions of a second-order elliptic equation and the uniqueness of the solution of an inverse problem for the wave equation ⋮ Completeness of products of homogeneous harmonic polynomials and uniqueness of the solution to an inverse wave sounding problem ⋮ On the completeness of products of solutions to the Helmholtz equation ⋮ On the uniqueness of the solution of the inverse coefficient problem for the Helmholtz equation in a phaseless spatially nonoverdetermined statement ⋮ On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations ⋮ Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem

Cites Work

• Sets of uniqueness for harmonic and analytic functions and inverse problems for wave equations
• On a multidimensional integral equation with data supported by low-dimensional analytic manifolds
• Recent progress in the Calderon problem with partial data
• Inverse problems for partial differential equations
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