A rigorous proof is given for the convergence of the solutions of a viscousCahn-Hilliard system to the solution of the regularized version of theforward-backward parabolic equation, as the coefficient of the diffusive termgoes to 0. Non-homogenous Neumann boundary condition are handled for thechemical potential and the subdifferential of a possible non-smooth double-wellfunctional is considered in the equation. An error estimate for the differenceof solutions is also proved in a suitable norm and with a specified rate ofconvergence.
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