Geodesic
Lipschitz stability for degenerate parabolic systems
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study an inverse problem for weakly degenerate coupled parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the space domain. The key ingredient is the derivation of a Carleman-type estimate.
Classification : 35K65
Keywords: degenerate parabolic system, Carleman estimate, Lipschitz stability, inverse problem 
@article{EJDE_2014__2014__a170,
     author = {Boutaayamou, Idriss and Hajjaj, Abdelkarim and Maniar, Lahcen},
     title = {Lipschitz stability for degenerate parabolic systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a170/}
}
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Boutaayamou, Idriss; Hajjaj, Abdelkarim; Maniar, Lahcen. Lipschitz stability for degenerate parabolic systems. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a170/