Continuous Dependence on the Nonlinearity of Viscosity Solutions of Parabolic Equations

This paper establishes an upper bound for u−v where u is a subsolution of ut+F(u, Dxu, D2xu)=0and v is a supersolution ofvt+G(v, Dxv, D2xv)=0in (0, ∞)×Ω with Neumann boundary conditions and where Ω is an open convex set.