Transesterification of propylene carbonate and methanol
I know it is used to obtain  dimethyl carbonate (DMC) I think the others products should vary from which catalyst you choose. Have a look to Transesterification of propylene carbonate with methanol using $\ce{MgAlCO3}$
hydrotalcite as solid base catalyst: Indian Journal of Chemistry
Vol. 49A, September 2010, pp. 1182-1188 to choose the catalyst. I think there are two little typos in Scheme 2 where the mechanism is shown: miss $\ce{^-}$ from $\ce{CH_3O^-}$ (first step) and miss $\ce{C}$ from one part ($\ce{CH_3CO}$) of DMC formula (second step) but is a good article.