Abstract
We consider the singular perturbation problem (Dirichlet problem), ϵL 1u + L 0u ϵL 1u + ( ∂ ∂x 1 + g)u = f, ∂ 8u ∂n 8 = Ψ 8 . (1 ∗) The asymptotic character of approximation, as given by the boundary layer method, is proven in the maximum norm. The asymptotic character of the derivatives is also investigated.
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