Email this article On the Cauchy Problem for the Wave Equation with Data on the Boundary
- Authors: Demchenko M.N.1
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Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 243, No 5 (2019)
- Pages: 698-706
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/243142
- DOI: https://doi.org/10.1007/s10958-019-04571-9
- ID: 243142
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Abstract
The Cauchy problem for the wave equation in Ω × ℝ with data given on some part of the boundary ∂Ω × ℝ is considered. A reconstruction algorithm for this problem based on analytic expressions is given. This result is applicable to the problem of determining a nonstationary wave field arising in geophysics, photoacoustic tomography, tsunami wave source recovery.
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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