Scratch- and wear-resistant coating on polymer surfaces with catalytically accelerated hardening

A coating system, comprising components A and B, wherein component A contains at least one reaction product of a silane Y(1)SiOR1OR2OR3 where Y(1) is a 3-glycidyloxypropyl group and similar or dissimilar alkyl groups R1, R2, R3 with 1 to 6 carbon atoms and water in the presence of a catalyst, and component B contains at least one reaction product of a further silane Y(2)SiOR′1OR′2OR′3 wherein Y(2) is a N-2-aminoethyl-3-aminopropyl- or NH2(CH2)2NH(CH2)2NH(CH)3 group and similar or dissimilar alkyl groups R′1, R′2, R′3 with 1 to 6 carbon atoms in the presence of an adjunct selected from ammonium compounds or hydroxides and at least one of the components A, B contains additionally at least one inorganic filler and a solvent with a boiling point of 85° C. Also, a method for producing a surface coating on a polymer surface, an article with at least one polymeric surface having the surface coating, and a use of the article.