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Licensed Unlicensed Requires Authentication Published by De Gruyter November 13, 2013

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

Lucie Baudouin EMAIL logo , Eduardo Cerpa , Emmanuelle Crépeau and Alberto Mercado

Abstract

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.

MSC: 35R30; 35Q53

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

Received: 2013-2-8
Published Online: 2013-11-13
Published in Print: 2014-12-1

© 2014 by De Gruyter

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