Determination of coefficients for a dissipative wave equation via boundary measurements

被引：19

作者：

Cipolatti, R ^{[1
]}

Lodez, IF ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Metodos Matemat, Rio De Janeiro, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 306卷 / 01期

关键词：

inverse problem; Dirichlet-to-Neumann map; stability estimates; boundary measurements;

D O I：

10.1016/j.jmaa.2004.11.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the inverse problem of recovering the viscosity coefficient in a dissipative wave equation via boundary measurements. We obtain stability estimates by considering all possible measurements implemented on the boundary. We also prove that the viscosity coefficient is uniquely determined by a finite number of measurements on the boundary provided that it belongs to a given finite dimensional vector space. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：317 / 329

页数：13

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