Unsaturated polyesterurethane acrylates as binders for powder coatings

A method of coating a shaped article, comprising coating a shaped article with a pulverulent coating composition comprising a solid, unsaturated polyesterurethane (meth)acrylate having a content by mass of olefinic double bonds in the form of (meth)acryloyl groups, calculated as —C═C—, molecular mass 24 g/mol, of from 0.5 to 8%, and a melting temperature of from 35 to 180° C., which is obtained by reacting a polyisocyanate B with a mixture of an unsaturated hydroxyl-containing polyester A which has a content by mass of olefinically unsaturated groups of from 2 to 20% and which is solid at room temperature, and a hydroxyalkyl(meth)acrylate C.