Homogenization of a class of degenerate parabolic equations

In this paper we study the homogenization problem of a sequence of degenerate linear parabolic operators mu(h(gamma)x)partial derivative/partial derivative t - div(a(h(gamma)x, h(beta)t) . D) (gamma, beta greater than or equal to 0), where the matrix of the coefficients a(y, tau) verifies the degenerate elliptic condition lambda(y)/xi/(2) less than or equal to (a(y, tau) . xi,xi) less than or equal to L lambda(y)/xi(2)/, lambda being a weight satisfying a Muckenhoupt's condition (lambda is an element of A(2)) and (mu, lambda) being a pair of weights satisfying a generalized Muckenhoupt's condition.