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On the determination of the principal coefficient from boundary measurements in a KdV equation
Keywords: inverse problem, korteweg-de vries equation, carleman estimate
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 Bukhge. im-Klibanov method.
Más información
| Título según WOS: | On the determination of the principal coefficient from boundary measurements in a KdV equation |
| Título según SCOPUS: | On the determination of the principal coefficient from boundary measurements in a KdV equation |
| Título de la Revista: | JOURNAL OF INVERSE AND ILL-POSED PROBLEMS |
| Volumen: | 22 |
| Número: | 6 |
| Editorial: | WALTER DE GRUYTER GMBH |
| Fecha de publicación: | 2014 |
| Página de inicio: | 819 |
| Página final: | 845 |
| Idioma: | English |
| DOI: |
10.1515/jip-2013-0015 |
| Notas: | ISI, SCOPUS |