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
Babich, Pavel Vasil’evich; Levenshtam, Valeriĭ Borisovich Recovery of rapidly oscillated right-hand side of the wave equation by the partial asymptotics of the solution. (Russian. English summary) Zbl 1474.35428 Vladikavkaz. Mat. Zh. 22, No. 4, 28-44 (2020). MSC: 35L05 35L20 35R30 PDF BibTeX XML Cite \textit{P. V. Babich} and \textit{V. B. Levenshtam}, Vladikavkaz. Mat. Zh. 22, No. 4, 28--44 (2020; Zbl 1474.35428) Full Text: DOI MNR 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
Babich, P. V.; Levenshtam, V. B. Averaging of parabolic initial-boundary value problems with rapidly oscillating principal part. (English. Russian original) Zbl 1382.35021 J. Math. Sci., New York 219, No. 1, 27-34 (2016); translation from Probl. Mat. Anal. 85, 29-35 (2016). MSC: 35B27 35K20 35K59 PDF BibTeX XML Cite \textit{P. V. Babich} and \textit{V. B. Levenshtam}, J. Math. Sci., New York 219, No. 1, 27--34 (2016; Zbl 1382.35021); translation from Probl. Mat. Anal. 85, 29--35 (2016) Full Text: DOI OpenURL
Babich, P. V.; Levenshtam, V. B. Direct and inverse asymptotic problems with high-frequency terms. (English) Zbl 1342.35387 Asymptotic Anal. 97, No. 3-4, 329-336 (2016). MSC: 35Q79 80A20 80A23 35R30 35C20 PDF BibTeX XML Cite \textit{P. V. Babich} and \textit{V. B. Levenshtam}, Asymptotic Anal. 97, No. 3--4, 329--336 (2016; Zbl 1342.35387) Full Text: DOI OpenURL