Geodesic
Lipschitz stability for linear parabolic systems with interior degeneracy
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study an inverse problem for linear degenerate 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, which contains degeneracy points. The key ingredient is the derivation of a Carleman-type estimate.
Classification : 35k65
Keywords: parabolic system, interior degeneracy, Carleman estimates, Lipschitz stability 
@article{EJDE_2014__2014__a189,
     author = {Boutaayamou,  Idriss and Fragnelli,  Genni and Maniar,  Lahcen},
     title = {Lipschitz stability for linear parabolic systems with interior degeneracy},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1298.35248},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a189/}
}
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Boutaayamou,  Idriss; Fragnelli,  Genni; Maniar,  Lahcen. Lipschitz stability for linear parabolic systems with interior degeneracy. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a189/