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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year

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Volume 22, Issue 6


On the determination of the principal coefficient from boundary measurements in a KdV equation

Lucie Baudouin
  • CNRS, LAAS, 7 avenue du colonel Roche, 31400 Toulouse, France; and Université de Toulouse, LAAS, 31400 Toulouse, France
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/ Eduardo Cerpa / Emmanuelle Crépeau / Alberto Mercado
Published Online: 2013-11-13 | DOI: https://doi.org/10.1515/jip-2013-0015


This paper concerns the inverse problem of retrieving the principal coefficient in a Korteweg–de Vries (KdV) equation from boundary measurements of a single solution. The Lipschitz stability of this inverse problem is obtained using a new global Carleman estimate for the linearized KdV equation. The proof is based on the Bukhgeĭm–Klibanov method.

Keywords: Inverse problem; Korteweg–de Vries equation; Carleman estimate

MSC: 35R30; 35Q53

About the article

Received: 2013-02-08

Published Online: 2013-11-13

Published in Print: 2014-12-01

Funding Source: ANR

Award identifier / Grant number: Project CISIFS number NT09-437023

Funding Source: Fondecyt

Award identifier / Grant number: 1120610

Funding Source: Basal CMM U. de Chile

Funding Source: CONICYT

Award identifier / Grant number: ACT-1106

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 22, Issue 6, Pages 819–845, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jip-2013-0015.

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Eduardo Cerpa
Mathematical Control and Related Fields, 2013, Volume 4, Number 1, Page 45

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