Multilayer product comprising at least one layer of an acrylate-based foam carrier (S); and a multiphase polymer composition (P) applied to this layer; the multiphase polymer composition (P) comprising: a comb copolymer (A) which is obtainable by polymerization of at least one (meth)acrylate monomer in the presence of at least one macromer selected from the group consisting of polymerizable ethylene-butylene, ethylene-propylene, ethylene-butylene-propylene and isobutylene macromers, and which forms a continuous acrylate phase and a discontinuous hydrocarbon phase Kw; and at least one hydrocarbon component (B) which is soluble in the hydrocarbon phase Kw of the comb copolymer (A) and comprises at least one plasticizer resin and at least one solid resin; the multiphase polymer composition (P) having a continuous acrylate phase with a static glass transition temperature Tg(Ac), measured by the DSC method, and a discontinuous hydrocarbon phase Kw1, comprising the hydrocarbon component (B) and having a static glass transition temperature Tg(Kw1), measured by the DSC method, where Tg(Kw1) is higher than Tg(Ac) by 35 to 60 kelvins.