Hyperbolic inverse problems

双曲型反边值问题将使用Fourier积分算子技术进行研究。一个典型的逆边值问题是通过向一个物体发送波来探测它，以便从测量的响应中确定物体的某些性质。该项目考虑的情况下，测量aremodled使用声波方程。声学的情况下，forexample，几个地球物理成像问题的原型情况下。重点是与时间相关的系数的问题。这样的问题可以被看作是双曲模拟的much studiedCalderon的反问题。也将考虑散射类型的问题。

Hyperbolic inverse boundary value problems will be studied usingFourier integral operator techniques. A typical inverse boundary valueproblem arises when an object is probed by sending waves to it inorder to determine some properties of the object from the measuredresponses. The project considers the case where the measurements aremodelled using the acoustic wave equation. The acoustic case is, forexample, a prototype case for several geophysical imaging problems.The focus is on problems with time-dependent coefficients. Suchproblems can be seen as the hyperbolic analogue of the much studiedCalderon's inverse problem. Also scattering type problems will beconsidered.