LIMIT OF A PARABOBOLIC PDE SOLUTION DEPENDING ON TWO PARAMETERS

We study the behaviour of the parabolic partial differential equa- tion (PDE) solution which depends on two parameters, when the large devia- tions parameter e tends more quickly than the homogenization's one δ, to zero. In other words, we assume that lim ǫ,δ−→0 δ ǫ = +∞.