An inverse problem for the Helmholtz equation

被引：32
|
作者：
GylysColwell, F [1 ]
机构：
[1] UNIV WASHINGTON, MATH DEPT GN 50, SEATTLE, WA 98195 USA
来源：
INVERSE PROBLEMS | 1996年 / 12卷 / 02期
关键词：
D O I：
10.1088/0266-5611/12/2/003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss an inverse boundary value problem for both the anisotropic and the isotropic time-independent wave equation, the Helmholtz equation. It is shown that in two dimensions, if the equation is isotropic, then boundary data for two different time frequencies will uniquely determine parameters in the equation, provided that the parameters are sufficiently close to constant. If the equation is anisotropic, it is shown that up to a change of coordinates the same result holds.
引用
收藏
页码：139 / 156
页数：18
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