Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences " Nondestructive Evaluation and Inverse Problem"; June 12-16, 1995; Lexington, KY

[9414936]科学和工程中的许多问题都涉及通过间接测量来确定物体内部的性质。例子包括发现固体金属物体内部的裂纹或缺陷以及医学成像。在数学上，这些问题通常被表述为偏微分方程的逆问题。在这样的问题中，人们根据（部分）解的知识来确定方程中的未知系数。提议者将举行为期一周的会议，专门讨论偏微分方程反问题的数学理论。会议将在肯塔基大学举行。本次会议的主要活动将是由华盛顿大学的冈瑟·乌尔曼（Gunther Uhlmann）主持的一系列十场讲座。这些讲座将向数学家介绍这一领域的最新研究。

9414936 Many problems in science and engineering involve the determination of the properties inside an object from indirect measurements. Examples include finding cracks of defects inside solid metal objects and medical imaging. Mathematically, these problems are often formulated as inverse problems for partial differential equations. In such a problem, one determines an unknown coefficient in an equation from (partial)knowledge of the solutions. The proposers will hold a week long conference devoted to the mathematical theory of inverse problems for partial differential equations. The conference will take place at the University of Kentucky. The main activity of this conference will be a series of ten lectures given by Gunther Uhlmann of the University of Washington. These lectures will serve to introduce mathematicians to current research in this field.