Mathematical Sciences: Global Uniqueness and Stability in Inverse Problems for PDE

本课题将研究著名反问题解的唯一性和稳定性。这些问题出现在各种领域，如地球物理、电子层析成像、裂缝检测、地震预报、声学和地震勘探。将通过使用卡尔曼估计和卡尔德龙-西尔维斯特-乌尔曼方法等先进技术来研究基本的数学问题。

This project will study uniqueness and stability of solutions of well known inverse problems. This problems arise in areas as diverse as geophysics, electrical tomography, crack detection, earthquake prediction, and acoustic and seismic prospecting. Fundamental mathematical issues will be studied through the use of advanced techniques such as Carleman estimates and Calderon- Sylvester-Uhlmann methods.