A floor panel (10, 100) with an average density of between 1.5 and 2.5 g/cm3 and a mass per unit area (EN ISO 23997) of between 3.5 and 8 kg/m2, includes at least one soft elastic core layer (12) made from a PU material and a non-slip backing (22) having an embossing, with the lateral edges of the floor panel (10, 100) being contrived such that two adjacently installed floor panels (10, 100) abut against each other along their lateral edges in a non-locking manner.