从双曲线图DN局部恢复纵波和横波速度
Local recovery of the compressional and shear speeds from the hyperbolic DN map
摘要:
研究了有界区域上的各向同性弹性波动方程。我们表明,局部知识的狄利克雷-诺依曼映射确定唯一的速度的p波局部,如果有一个严格凸叶理相对于它,同样的s波速度。
英文摘要:
We study the isotropic elastic wave equation in a bounded domain with boundary. We show that local knowledge of the Dirichlet-to-Neumann map determines uniquely the speed of the p-wave locally if there is a strictly convex foliation with respect to it, and similarly for the s-wave speed.
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