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On the determination of the principal coefficient from boundary measurements in a KdV equation
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Lucie Baudouin
,
Eduardo Cerpa
Published/Copyright:
November 13, 2013
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.
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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- An inverse problem for the recovery of the vascularization of a tumor
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- On the determination of the principal coefficient from boundary measurements in a KdV equation
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Articles in the same Issue
- Frontmatter
- An inverse problem for the recovery of the vascularization of a tumor
- Estimating the ice thickness of mountain glaciers with a shape optimization algorithm using surface topography and mass-balance
- On the determination of the principal coefficient from boundary measurements in a KdV equation
- Reconstructing conductivities with boundary corrected D-bar method
- Regularization of linear inverse problems with total generalized variation
