We study a system consisting of a Cahn-Hilliard and several Allen-Cahn type equations. This system was proposed by Fan, L.-Q. Chen, S. Chen and Voorhees for modelling Ostwald ripening in two-phase system. We prove the existence of a generalized solution whose concentration component is in L∞.2004 124Bernis, F., Friedman, A., Higher order nonlinear degenerate parabolic equations (1990) Journal of Differential Equations, 83, pp. 179-206Copetti, M.I.M., Elliott, C.M., Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy (1992) Numer. Math., 63, pp. 39-65Dal, R., Giacomelli, P.L., Novick-Cohen, A., Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility (1999) Interfaces and Free Boundaries, 1, pp. 199-226Elliott, C., Garcke, H., On the Cahn-Hilliard equation with degenerate mobility (1996) SIAM Journal of Mathematical Analysis, 27, pp. 404-423Elliott, C.M., Luckhaus, S., (1991) A Generalised Diffusion Equation for Phase Separation of a Multi-Component Mixture with Interfacial Free Energy, , Preprint 887, IMA (Minnesota)Fan, D., Chen, L.-Q., Chen, S.P., Voorhees, P.W., Phase field formulations for modeling the Ostwald ripening in two-phase systems (1998) Comp. Mater. Sci., 9, pp. 329-336Lions, J.L., (1969) Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaries, , Dunod