For use on board a mobile means of transport (eg. aircraft, bus, ship), a heating system and method are described which lead to a reduction of peak demand in the on-board kitchen energy supply system relating to the integrated heating appliances for the warming or heating of food. For this, latent or thermochemical heat storage units are used which are fully integrated into the structural elements of the heating appliance in question and heats the product in such a way that there is sufficient heat output, while at the same time, the absolute temperature is limited by means of an appropriate choice of heat storage material for product enhancement.