Email this article On the Inverse Source Problem for the Wave Equation
- Authors: Demchenko M.N.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 224, No 1 (2017)
- Pages: 69-78
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239486
- DOI: https://doi.org/10.1007/s10958-017-3395-3
- ID: 239486
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Abstract
The question of identification of initial data in the Cauchy problem for the wave equation with a variable velocity is studied. The wave field on some surface in the time-space is assumed to be known. Under certain assumptions concerning the velocity, it is shown that some part of singularities of the initial data can be recovered.
About the authors
M. N. Demchenko
St.Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: demchenko@pdmi.ras.ru
Russian Federation, St.Petersburg
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