Disclosed are coating compositions comprising (a) at least one hydroxyl-containing compound (A), (b) at least one compound (B) having isocyanate groups, and (c) at least one catalyst (D) for the crosslinking of silane groups, said catalyst (D) comprising phosphorus. It is an aspect of the disclosed coating compositions that (i) one or more constituents of the coating composition contain hydrolyzable silane groups and (ii) the coating composition can be finally cured to a coating which has statistically distributed regions of an Si—O—Si network.