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__a292,
     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__a292/}
}
TY  - JOUR
AU  - Ouaro,  Stanislas
AU  - Toure,  Hamidou
TI  - Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems
JO  - Electronic journal of differential equations
PY  - 2007
VL  - 2007
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a292/
LA  - en
ID  - EJDE_2007__2007__a292
ER  - 
%0 Journal Article
%A Ouaro,  Stanislas
%A Toure,  Hamidou
%T Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems
%J Electronic journal of differential equations
%D 2007
%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a292/
%G en
%F EJDE_2007__2007__a292
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__a292/