The invention relates to coating materials that can be cured thermally and by actinic radiation and that comprise (A) at least one binder, selected from the group including the random, alternating and block, linear, branched and comb polyaddition resins and polycondensation resins that can be cured thermally or thermally and by actinic radiation, and (co)polymers of olefinically unsaturated monomers, and (B) 0.01 to 3 % by weight, based on the solid content of the coating material, of at least one additive on the basis of at least one (meth)acrylate (co)polymer, selected from the group including (meth)acrylate (co)polymers of a number average molecular weight of from 4,000 to 100,000 daltons and having a low to high polarity. The invention relates to the use of the inventive coating materials for producing single-layer and multi-layer clearcoats and color- or effect-producing multi-layer coatings or as adhesives and sealing materials.