Method for the continuous inline production of coated polymeric substrates or laminates, comprising the steps of a. providing a substrate made of a polymeric material b. contacting the substrate with a curable - preferably by means of radical polymerization - coating material or adhesive c. lining the coating material or adhesive with an outer film d. curing the coating material or adhesive, characterized in that • the curing takes place in at least two curing steps, the first curing step being a thermal or a radiation curing step, preferably a UV curing step, and at least one subsequent curing step being a radiation curing step, preferably a UV curing step, • where the first curing step is a radiation curing step, preferably a UV curing step, or is a thermal curing step with delayed initiation, the incipient dissolution time is at least 10 s, preferably 15 to 240 s, more preferably 20 to 180 s and very preferably 30 to 120 s, or • where there is spontaneous thermal initiation of curing on first contact between coating material or adhesive and consequently the first curing step begins, ▪ the monomer mixture of the coating material or adhesive, preferably the combination of initiator and coating material monomers or adhesive monomers and/or the concentration of the thermal initiator, and/or ▪ the method conditions, preferably the conveying rate of the substrate and/or the contact temperature, are selected such as to obtain a mixed phase of coating material or adhesive and dissolved substrate polymer, the thickness of this phase corresponding to between 90% and 1%, preferably between 80% and 3% and very preferably between 70% and 5% of the total layer thickness of the outer layer or adhesive layer. a. providing a substrate made of a polymeric material b. contacting the substrate with a curable - preferably by means of radical polymerization - coating material or adhesive c. lining the coating material or adhesive with an outer film d. curing the coating material or adhesive, characterized in that • the curing takes place in at least two curing steps, the first curing step being a thermal or a radiation curing step, preferably a UV curing step, and at least one subsequent curing step being a radiation curing step, preferably a UV curing step, • where the first curing step is a radiation curing step, preferably a UV curing step, or is a thermal curing step with delayed initiation, the incipient dissolution time is at least 10 s, preferably 15 to 240 s, more preferably 20 to 180 s and very preferably 30 to 120 s, or • where there is spontaneous thermal initiation of curing on first contact between coating material or adhesive and consequently the first curing step begins, ▪ the monomer mixture of the coating material or adhesive, preferably the combination of initiator and coating material monomers or adhesive monomers and/or the concentration of the thermal initiator, and/or ▪ the method conditions, preferably the conveying rate of the substrate and/or the contact temperature, are selected such as to obtain a mixed phase of coating material or adhesive and dissolved substrate polymer, the thickness of this phase corresponding to between 90% and 1%, preferably between 80% and 3% and very preferably between 70% and 5% of the total layer thickness of the outer layer or adhesive layer. • the curing takes place in at least two curing steps, the first curing step being a thermal or a radiation curing step, preferably a UV curing step, and at least one subsequent curing step being a radiation curing step, preferably a UV curing step, • where the first curing step is a radiation curing step, preferably a UV curing step, or is a thermal curing step with delayed initiation, the incipient dissolution time is at least 10 s, preferably 15 to 240 s, more preferably 20 to 180 s and very preferably 30 to 120 s, or • where there is spontaneous thermal initiation of curing on first contact between coating material or adhesive and consequently the first curing step begins, ▪ the monomer mixture of the coating material or adhesive, preferably the combination of initiator and coating material monomers or adhesive monomers and/or the concentration of the thermal initiator, and/or ▪ the method conditions, preferably the conveying rate of the substrate and/or the contact temperature, are selected such as to obtain a mixed phase of coating material or adhesive and dissolved substrate polymer, the thickness of this phase corresponding to between 90% and 1%, preferably between 80% and 3% and very preferably between 70% and 5% of the total layer thickness of the outer layer or adhesive layer. ▪ the monomer mixture of the coating material or adhesive, preferably the combination of initiator and coating material monomers or adhesive monomers and/or the concentration of the thermal initiator, and/or ▪ the method conditions, preferably the conveying rate of the substrate and/or the contact temperature, are selected such as to obtain a mixed phase of coating material or adhesive and dissolved substrate polymer, the thickness of this phase corresponding to between 90% and 1%, preferably between 80% and 3% and very preferably between 70% and 5% of the total layer thickness of the outer layer or adhesive layer.