On the cauchy problem for a class of multicomponent diffusion systems
On the cauchy problem for a class of multicomponent diffusion systems
Introduction.This note discusses the Cauchy problem for a class of multicomponent diffusion systems of the form u-f (, , u, v), 1 v/t--g(x, t, u, V), where x--(x,..., x) and A is a linear parabolic differential operator:Au----Ou/Ot--(x, t)Ou/OxOx+ b(x, t)Ou/Ox+c(x, t)u =I