F. Paronetto et Fs. Cassano, ON THE CONVERGENCE OF A CLASS OF DEGENERATE PARABOLIC EQUATIONS, Journal de mathematiques pures et appliquees, 77(9), 1998, pp. 851-878
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.