Upper and lower estimates in determining point sources in a wave equation

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Published 24 January 2002 • Published under licence by IOP Publishing Ltd
, , Citation Vilmos Komornik and Masahiro Yamamoto 2002 Inverse Problems 18 319 DOI 10.1088/0266-5611/18/2/302

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This article is corrected by 2003 Inverse Problems 19 999

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Author affiliations

1 Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7, Rue René Descartes, 67084 Strasbourg Cedex, France

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

Dates

  1. Received 18 April 2001
  2. Published

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0266-5611/18/2/319

Abstract

Applying a theorem of the graph theory, we obtain upper and lower estimates between the Sobolev norms and the distance of finite combinations of Dirac masses. These estimates are then applied to solve an inverse problem for the wave equation.

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10.1088/0266-5611/18/2/302