The invention relates to a multilayer film encompassing at least one upper layer a) and one middle layer b) composed of (meth)acrylate copolymers, and also a backing layer c) composed of polycarbonate, where the upper layer a) comprises a light stabilizer and is composed of a (meth)acrylate copolymer which can form semicompatible mixtures with the polycarbonate of the backing layer c), where a test specimen produced from a mixture composed of 20% by weight of (meth)acrylate copolymer and 80% by weight of polycarbonate has a tensile strain at break of at least 75% (ISO 527-2) at 23° C., the middle layer b) comprises a dye and, where appropriate, a light stabilizer, and is composed of an identical or different (meth)acrylate copolymer which can form semicompatible mixtures with the polycarbonate of the backing layer c), where a test specimen produced from a mixture composed of 20% by weight of (meth)acrylate copolymer and 80% by weight of polycarbonate has a tensile strain at break of at least 75% (ISO 527-2) at 23° C., and the backing layer c) is composed of polycarbonate which can, where appropriate, comprise up to 30% by weight of the material of the layers a) and b). The invention also relates to the production and uses of the multilayer film, and also to semicompatible polymer mixtures composed of (meth)acrylate copolymers and polycarbonate.