Process for blow moulding a vessel (1) from a plastic preform (2) which, after heating, is pre-formed by a gas which is blown into the vessel (1, 2) at low pressure of between 2 bar and 15 bar with an accompanying increase in its internal volume and is shaped into its definitive form by ignition of a blown-in, combustible gas by the higher blowing pressure arising during the combustion, characterized in that a precursor material on the basis of a silicon, magnesium, aluminium, titanium, zinc, zirconium, boron, cerium, calcium or tin compound or the like or on the basis of mixtures thereof is applied to the inner surface of a moulded article (1,1′) as prelayer in the form of a gas, vapour or mist, then an oxygen-containing, flammable gas mixture is introduced into the moulded article (1, 1′) and ignited and through this combustion, the coating on the basis of silicon oxide, silicon oxynitride, magnesium oxide, aluminium oxide, titanium oxide, titanium nitride, zinc oxide, zirconium oxide, boron oxide, cerium oxide, calcium oxide or tin oxide or the like or on the basis of mixtures thereof is formed on the inner surface of the vessel.