Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

Explicit estimates for the continuous dependence in L-infinity([0, T]; L-1(R-d)) of solutions of the equation partial derivative(l)upsilon = del . (Phi(upsilon)) + Delta(phi(upsilon)) (in (0, infinity) x R-d with initial condition upsilon(0, .) = h) with respect to the nonlinear continuously differential functions Phi and phi are established. (C) 1999 Academic Press.