Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem

DOI10.33048/semi.2021.18.061zbMath1471.35334OpenAlexW3200632614MaRDI QIDQ2047158

Ella Viktorovna Korablina, V. B. Levenshtam

Publication date: 19 August 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.061

zbMATH Keywords

asymptotics of solutionreconstruction of unknown high-frequency source term, rapidly oscillating right-hand side

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Asymptotic problems of reconstructing a high-frequency source of a wave equation ⋮ Asymptotic problems of reconstruction of high-frequency data of the wave equation

Cites Work

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• Recovery of a rapidly oscillating absolute term in the multidimensional hyperbolic equation
• Recovery of a rapidly oscillating source in the heat equation from solution asymptotics
• Elements of the theory of inverse problems
• Parabolic equations with large parameter. Inverse problems
• Inverse and ill-posed problems. Theory and applications.
• Direct and inverse asymptotic problems with high-frequency terms

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