Completeness of asymmetric products of harmonic functions and uniqueness of the solution to the Lavrent'ev equation in inverse wave sounding problems

DOI10.4213/IM9253EzbMATH Open1522.35585OpenAlexW4381306145MaRDI QIDQ6137451

Author name not available (Why is that?)

Publication date: 2 September 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9253

zbMATH Keywords

inverse problemharmonic functioncompletenesslinear integral equationhyperbolic equationaxial symmetryuniqueness of solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (3)

Uniqueness of a solution to the Lavrent'ev integral equation in \(n\)-dimensional space ⋮ M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media ⋮ Lavrent'ev-type equations and systems in the inverse problem of reconstructing viscoelastic medium memory

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