On the Cauchy problem for the wave equation with data on the boundary

M. N. Demchenko

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arXiv · 1810.12631

On the Cauchy problem for the wave equation with data on the boundary

M. N. Demchenko

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Abstract

We consider the Cauchy problem for the wave equation in $\Omega\times{\mathbb R}$ with data given on some part of the boundary $\partial\Omega\times{\mathbb R}$. We provide a reconstruction algorithm for this problem based on analytic expressions. Our result is applicable to the problem of determining nonstationary wave field arising in geophysics, photoacoustic tomography, tsunami wave source recovery.

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M. N. Demchenko. 2018-10-30. On the Cauchy problem for the wave equation with data on the boundary. https://arxiv.org/abs/1810.12631

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