On a global estimate in a linear inverse hyperbolic problem

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Published under licence by IOP Publishing Ltd
, , Citation Jean-Pierre Puel and Masahiro Yamamoto 1996 Inverse Problems 12 995 DOI 10.1088/0266-5611/12/6/013

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Author affiliations

1 Centre de Mathematiques Appliquées, Unité de Recherche Associée au CNRS 756, Ecole Polytechnique, 91128 Palaiseau Cedex, France

2 Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153, Japan

Dates

  1. Received 12 April 1996

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0266-5611/12/6/995

Abstract

We show a global Lipschitz estimate in determining a source term in a hyperbolic equation from overdetermining data on the lateral boundary. The method is a combination of the uniqueness result by the Carleman estimate and the compactness - uniqueness argument, and is also widely applicable to the determination of source terms or coefficients in the general multidimensional case.

Dedicated to Professor Takashi Kayano on his 63rd birthday

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10.1088/0266-5611/12/6/013