Levenshtam, V. B. Hyperbolic equation with rapidly oscillating data: reconstruction of the small lowest order coefficient and the right-hand side from partial asymptotics of the solution. (English. Russian original) Zbl 07544361 Dokl. Math. 105, No. 1, 28-30 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 34-36 (2022). MSC: 35R30 35C20 35L15 PDF BibTeX XML Cite \textit{V. B. Levenshtam}, Dokl. Math. 105, No. 1, 28--30 (2022; Zbl 07544361); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 34--36 (2022) Full Text: DOI OpenURL
Babich, P. V.; Levenshtam, V. B. Inverse problems in the multidimensional hyperbolic equation with rapidly oscillating absolute term. (English) Zbl 1478.35030 Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 7-23 (2021). MSC: 35B40 35R30 35L20 34C29 PDF BibTeX XML Cite \textit{P. V. Babich} and \textit{V. B. Levenshtam}, in: Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15--20, 2019. Cham: Birkhäuser. 7--23 (2021; Zbl 1478.35030) Full Text: DOI arXiv OpenURL
Korablina, Ella Viktorovna; Levenshtam, Valery Borisovich Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem. (English) Zbl 1471.35334 Sib. Èlektron. Mat. Izv. 18, No. 2, 827-833 (2021). MSC: 35R30 35C20 35L15 PDF BibTeX XML Cite \textit{E. V. Korablina} and \textit{V. B. Levenshtam}, Sib. Èlektron. Mat. Izv. 18, No. 2, 827--833 (2021; Zbl 1471.35334) Full Text: DOI OpenURL
Levenshtam, V. B. Parabolic equations with large parameter. Inverse problems. (English. Russian original) Zbl 1448.35576 Math. Notes 107, No. 3, 452-463 (2020); translation from Mat. Zametki 107, No. 3, 412-425 (2020). MSC: 35R30 35B27 35K90 35K20 PDF BibTeX XML Cite \textit{V. B. Levenshtam}, Math. Notes 107, No. 3, 452--463 (2020; Zbl 1448.35576); translation from Mat. Zametki 107, No. 3, 412--425 (2020) Full Text: DOI OpenURL
Babich, P. V.; Levenshtam, V. B. Recovery of a rapidly oscillating absolute term in the multidimensional hyperbolic equation. (English. Russian original) Zbl 07035826 Math. Notes 104, No. 4, 489-497 (2018); translation from Mat. Zametki 104, No. 4, 505-515 (2018). MSC: 35Lxx PDF BibTeX XML Cite \textit{P. V. Babich} and \textit{V. B. Levenshtam}, Math. Notes 104, No. 4, 489--497 (2018; Zbl 07035826); translation from Mat. Zametki 104, No. 4, 505--515 (2018) Full Text: DOI OpenURL
Babich, P. V.; Levenshtam, V. B.; Prika, S. P. Recovery of a rapidly oscillating source in the heat equation from solution asymptotics. (English. Russian original) Zbl 06864318 Comput. Math. Math. Phys. 57, No. 12, 1908-1918 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 1955-1965 (2017). MSC: 35-XX 74-XX PDF BibTeX XML Cite \textit{P. V. Babich} et al., Comput. Math. Math. Phys. 57, No. 12, 1908--1918 (2017; Zbl 06864318); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 1955--1965 (2017) Full Text: DOI OpenURL