Stability estimates in inverse problems for hyperbolic equations

被引：0

作者：

Romanov V.G. ^{[1
]}

机构：

[1] Sobolev Institute of Mathematics, 630090 Novosibirsk, Acad. Koptyug prospect

来源：

Milan Journal of Mathematics | 2006年 / 74卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic expansion; Cauchy data; Continuation; Inverse problems; Linear hyperbolic equations; Stability;

D O I：

10.1007/s00032-006-0056-2

中图分类号：

学科分类号：

摘要：

We discuss here a method for investigating inverse problems for hyperbolic equations based on combining an asymptotic expansion of solutions to the equations in a neighborhood of a characteristic surface, the connections between coefficients of the expansion and the unknown coefficients of the equation and the estimates of a solution to the Cauchy problem in terms of the data on a time-like surface. We give some applications of this method to a number of inverse problems. Stability results to the inverse problems are given. © Birkhäuser Verlag, Basel 2006.

引用

页码：357 / 385

页数：28

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