Su un problema unidimensionale di diffusione in un mezzo a contorno mobile con condizioni ai limiti non lineari

It is considered a one dimensional heat diffusion probelm in a medium bounded by two parallel planes, x=0 and x=s(t), with a temperature specification on the moving face and a nonlinear relationship between the heat flux and the temperature on the other one. Existence, uniquenesses and computability of the solution are investigated. Continuous and monotone dependence on the data and related properties are also studied. The case s (0)=0 is then widely discussed. The class of boundary problems for which these results hold seems to be very wide.