| Type de publication : |
 |
Preprint, Working Paper, Document sans référence, etc. |
|
| Domaine : |
|
Mathématiques/Equations aux dérivées partielles
|
|
| Titre : |
|
Stability result for a time dependent potential in a waveguide |
|
| Auteur(s) : |
|
Patricia Gaitan ( ,  ) 1, Yavar Kian () 2 |
|
| Laboratoire : |
|
|
|
| Résumé : |
|
We consider the operator $H:= \partial_t -\Delta+V$ in $2$D or $3$D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the time dependent part of the potential for this particular geometry. Two cases are considered: the bounded waveguide with mixed Dirichlet and Neumann conditions and the open waveguide with Dirichlet boundary conditions. |
|
Langue du texte
intégral : |
|
Anglais |
|
Date de production,
écriture : |
|
01/03/2012 |
|
|
| Mots Clés : |
|
Inverse problems – Carleman estimates – Parabolic equations |
|
| Classification : |
|
35K05, 35R30 |
|
|
Récupérer au format
