Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792

CiteScore 2017: 0.91

SCImago Journal Rank (SJR) 2017: 0.461
Source Normalized Impact per Paper (SNIP) 2017: 1.022

Mathematical Citation Quotient (MCQ) 2016: 0.38

Online
ISSN
1569-3945
See all formats and pricing
More options …
Volume 22, Issue 6

Issues

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
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Eduardo Cerpa / Emmanuelle Crépeau / Alberto Mercado
Published Online: 2013-11-13 | DOI: https://doi.org/10.1515/jip-2013-0015

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.

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.

Export Citation

© 2014 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[2]
Eduardo Cerpa
Mathematical Control and Related Fields, 2013, Volume 4, Number 1, Page 45

Comments (0)

Please log in or register to comment.
Log in