混合边界条件下波动方程的近似边界可控性及声速重建

2019 Days on Diffraction (DD) Pub Date : 2019-06-01 DOI:10.1109/DD46733.2019.9016430

L. Pestov, D. Strelnikov

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引用次数: 0

摘要

我们考虑声学层析成像问题:利用边界控制方法通过局部边界测量在有界域Ω中找到可变声速。我们使用位于Σ x [0, T]的诺伊曼控制，其中Σ是边界∂Ω的开放集，T是一个足够大的观测时间。边界测量值在Σ × [0,2t]给出。假定边界另一部分的压强为零。

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Approximate boundary controllability of wave equation with mixed boundary conditions and sound-speed reconstruction

We consider acoustical tomography problem: to find a variable speed of sound in a bounded domain Ω by partial boundary measurements using the Boundary Control method. We use Neumann controls which are located at Σ × [0, T], where Σ is an open set of the boundary ∂Ω, T is a sufficiently large observation time. Boundary measurements are given at Σ × [0, 2T ]. The pressure at another part of the boundary is assumed to be zero.

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$2019 Days on Diffraction (DD)$

2019 Days on Diffraction (DD)

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