Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations

Abstract

Explicit estimates for the continuous dependence inL∞([0,T];L1(Rd)) of solutions of the equation ∂lv=∇·(Φ(v))+Δ(φ(v)) (in (0,∞)×Rd with initial condition v(0,·)=h) with respect to the nonlinear continuously differential functions Φ and φ are established. © 1999 Academic Press.