On the Cauchy Problem for the Wave Equation with Data on the Boundary


Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Somente assinantes

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

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML

Declaração de direitos autorais © Springer Science+Business Media, LLC, part of Springer Nature, 2019