Geodesic
Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems
Electronic journal of differential equations, Tome 2007 (2007)
We study the Cauchy problem associated with the nonlinear elliptic - parabolic equation

$ b(u)_{t}-a(u,\varphi(u)_x)_x=f. $

We prove an $L^{1}$-contraction principle and hence the uniqueness of entropy solutions, under rather general assumptions on the data.
Classification : 35K65, 35L65
Keywords: elliptic, parabolic, degenerate, weak solution, entropy solution, L1-contraction principle 
@article{EJDE_2007__2007__a192,
     author = {Ouaro,  Stanislas and Toure,  Hamidou},
     title = {Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1138.35354},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a192/}
}
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%A Toure,  Hamidou
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Ouaro,  Stanislas; Toure,  Hamidou. Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a192/