From the introduction: The author solves the parabolic equation
with in and in where is an open bounded set of and is a Carathéodory function, satisfying some coercivity, monotonicity and growth conditions of Leray-Lions type, and defining an operator on .
In order to obtain an existence uniqueness result, an entropy formulation is proposed, which is very close to the one which has been introduced for the elliptic case in [P. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre and J. L. Vasquez, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, 241-273 (1995; Zbl 0866.35037)].