The invention provides an acrylate-based pressure-sensitive adhesive comprising a polymer blend having (a) at least a first component K.sub.c which comprises a first acrylate block copolymer having at least two chemically distinguishable, covalently interlinked acrylate polymer blocks P, the at least two polymer blocks P independently of one another each being a homopolymer block of a first monomer or a copolymer block of a second monomer and a comonomer, and the first monomer of the homopolymer block and the second monomer of the copolymer block can be identical or different from one another, and the at least two polymer blocks P being present under application conditions in microphase-separated regions and each having a softening temperature of between -125 and +20.degree. C., and (b) at least one second component L.sub.D, which is a second acrylate block copolymer, distinguishable from component K.sub.c, having at least two chemically distinguishable, covalently interlinked acrylate polymer blocks P, with the features specified under (a), or is an acrylate polymer P.sub.S, which is a homopolymer of a first monomer or a copolymer of a second monomer and a comonomer, the acrylate polymer P.sub.S and the acrylate polymer blocks P having softening temperatures of between -125 and +20.degree. C.