论文标题

球形对称性的异质Helmholtz问题:格林的操作员和稳定性估计值

The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates

论文作者

Sauter, Stefan, Torres, Céline

论文摘要

我们研究了由Helmholtz方程在异质介质中建立在频域中的波传播现象,其重点是不连续,高度振荡的波速。我们局限于球形对称性的问题,并将得出绿色操作员的明确表示,并且稳定性估计值在频率和波速速度上是显式的。

We study wave propagation phenomena modelled in the frequency domain by the Helmholtz equation in heterogeneous media with focus on media with discontinuous, highly oscillating wave speed. We restrict to problems with spherical symmetry and will derive explicit representations of the Green's operator and stability estimates which are explicit in the frequency and the wave speed.

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