ON THE CONVERGENCE OF A CLASS OF DEGENERATE PARABOLIC EQUATIONS

In this paper we study the convergence of the Cauchy-Dirichlet problem s for a sequence of parabolic operators P-h = partial derivative/parti al derivative t - div(a(h)(x, t) . D), where the matrices of the coeff icient a(h)(x, t) verify the following degenerate elliptic condition: lambda(h)(x)\xi\(2) less than or equal to (a(h)(x, t) . xi, xi) less t han or equal to L lambda(h)(x)\xi\(2), being (lambda(h))(h) a sequence of weights satisfying an uniform Muckenhoupt's condition in h. (C) El sevier, Paris.