Reconstruction of a Rapidly Oscillating Junior Coefficient and the Source of a Hyperbolic Equation from the Partial Asymptotics of the Solution

DOI10.46698/s0378-3993-5022-oOpenAlexW4387105113MaRDI QIDQ6183938

V. B. Levenshtam

Publication date: 23 January 2024

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj877

zbMATH Keywords

inverse problemasymptotic methodshyperbolic equationrapidly oscillating data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• Parabolic equations with large parameter. Inverse problems
• Definitions and examples of inverse and ill-posed problems
• A JUSTIFICATION OF THE AVERAGING METHOD FOR A PROBLEM OF CONVECTION IN A FIELD OF RAPIDLY OSCILLATING FORCES AND FOR OTHER PARABOLIC EQUATIONS

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