The present invention describes a process for the surface finishing of materials via application of specific polymethacrylate layers. The polymethacrylate layers are composed of blends of at least two (co)polymers of polymethacrylates, and specific “reactive monomers” are present here in a polymerized mixture which forms the polymethacrylate layer. At the application temperature established, these form a chemical and, where appropriate, also a physical bond to the substrate, and therefore have adhesion-promoting action.