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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).
Summary: 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.

MSC:

35Lxx Hyperbolic equations and hyperbolic systems
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