ABSTRACT
In an n-dimensional domain D, we consider the Dirichlet problem for the parabolic convection-diffusion equation
Lu(x, t)=f(x, t), (x, t) ∈ G, (7.1) u(x, t)=ϕ(x, t), (x, t) ∈ S.
Here G = G⋃S, G = D × (0, T ], (7.2)
the operator L is defined by the relations
L ≡ εL2 + L1;
L2 ≡ n∑
ask(x, t) ∂2
∂xs∂xk +
bs(x, t) ∂
∂xs − c(x, t);
L1 ≡ n∑ s=1
b1s(x, t) ∂
∂xs − c1(x, t)− p(x, t) ∂
∂t .
