Email this article Recovery of a Rapidly Oscillating Absolute Term in the Multidimensional Hyperbolic Equation
- Authors: Babich P.V.1, Levenshtam V.B.1,2
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Affiliations:
- Southern Federal University
- Southern Mathematical Institute, Vladikavkaz Scientific Center
- Issue: Vol 104, No 3-4 (2018)
- Pages: 489-497
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151381
- DOI: https://doi.org/10.1134/S000143461809016X
- ID: 151381
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Abstract
The paper is devoted to the development of the theory of inverse problems for evolution equations with summands rapidly oscillating in time. A new approach to setting such problems is developed for the case in which additional constraints (overdetermination conditions) are imposed only on several first terms of the asymptotics of the solution rather that on the whole solution. This approach is realized in the case of a multidimensional hyperbolic equation with unknown absolute term.
About the authors
P. V. Babich
Southern Federal University
Author for correspondence.
Email: xblahblahc@gmail.com
Russian Federation, Rostov-on-Don, 334006
V. B. Levenshtam
Southern Federal University; Southern Mathematical Institute, Vladikavkaz Scientific Center
Email: xblahblahc@gmail.com
Russian Federation, Rostov-on-Don, 334006; Vladikavkaz, 362027
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