Enviar artigo por via de e-mail On the Cauchy Problem for the Wave Equation with Data on the Boundary
- Autores: Demchenko M.N.1
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Afiliações:
- St. Petersburg Department of the Steklov Mathematical Institute
- Edição: Volume 243, Nº 5 (2019)
- Páginas: 698-706
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243142
- DOI: https://doi.org/10.1007/s10958-019-04571-9
- ID: 243142
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Resumo
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.
Sobre autores
M. Demchenko
St. Petersburg Department of the Steklov Mathematical Institute
Autor responsável pela correspondência
Email: demchenko@pdmi.ras.ru
Rússia, St. Petersburg
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