Approximations de la fonction de Heaviside et résultats d’unicité pour une classe de problèmes quasilinéaires elliptiques-paraboliques
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.
1980 Mathematics Subject Classification (1985 revision): 35K55, 35J60, 58G11.