The invention relates to a method for producing a tertiary C4-C8 alkyl (meth)acrylate by reacting (meth)acryl acid with an olefin of formula (I), wherein R?1 and R2¿, which can be identical or different, represent methyl or ethyl and R3 represents H, methyl or ethyl, in a homogeneous phase in the presence of an acidic catalyst and extracting the tertiary C¿4?-C8 alkyl(meth)acrylate from the reaction mixture. According to the invention, the catalyst is separated as a residue in a two-stage distillation of the reaction mixture and the tertiary C4-C8 alkyl(meth)acrylate is extracted from the distillation. The inventive method permits the use of (meth)acryl acid that contains acetic acid. The risk of a breakdown of the ester and the polymerization of the (meth)acryl compounds is reduced. The invention also relates to a falling film evaporator comprising a cylindrical casing (2), a plurality of evaporation tubes (3) located in said casing (2), means (4) for supplying the liquid to be evaporated and means (5) for heating the evaporation tubes (3). Said evaporator is characterised in that at least one evaporation tube (3) has a closed head region (6), into which a supply line (7) for the liquid to be evaporated opens, said supply line (7) communicating with the means (4) for supplying the liquid to be evaporated.