Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations

Explicit estimates for the continuous dependence inL∞([0, T]; L1( d)) of solutions of the equation ∂lv= •(Φ(v))+Δ( (v)) (in (0, ∞)× dwith initial conditionv(0, •)=h) with respect to the nonlinear continuously differential functionsΦand are established