In this paper, we concern ourselves with uniqueness results for an elliptic-parabolic quasilinear partial differential equation describing, for instance, the pressure of a fluid in a three-dimensional porous medium: within the frame of mathematical modeling of the secondary recovery from oil fields, the handling of the component conservation laws leads to a system including such a pressure equation, locally elliptic or parabolic according to the evolution of the gas phase.
@article{urn:eudml:doc:43716,
title = {Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {3},
year = {1990},
pages = {59-87},
zbl = {0761.35046},
mrnumber = {MR1060280},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43716}
}
Gagneux, G.; Guerfi, F. Approximation of the Heaviside function and uniqueness results for a class of quasilinear elliptic-parabolic problems.. Revista Matemática de la Universidad Complutense de Madrid, Tome 3 (1990) pp. 59-87. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43716/