Methods and Applications of Analysis

Volume 17 (2010)

Number 4

On an Inverse Problem of Reconstructing an Unknown Coefficient in a Second Order Hyperbolic Equation from Partial Boundary Measurements

Pages: 433 – 444

DOI: http://dx.doi.org/10.4310/MAA.2010.v17.n4.a7

Authors

Christian Daveau

Abdessatar Khelifi

Abstract

We consider the inverse problem of reconstructing an unknown coefficient in a second order hyperbolic equation from partial (on part of the boundary) dynamic boundary measurements. In this paper we prove that the knowledge of the partial Cauchy data for this class of hyperbolic PDE on any open subset

Keywords

Inverse problem; hyperbolic equation; geometric control; identification

2010 Mathematics Subject Classification

35B40, 35R30

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