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The model problem we propose is to find the solution of the equation
![\begin{displaymath}
\varepsilon \Delta u - u_x = 0
\end{displaymath}](img12.png) |
(1) |
for some parameter
. The equation is defined on the exterior of the
unit circle, i.e., on the region
![\begin{displaymath}
\Omega = \left\{ (x,y) ~\vert~ x^2+y^2 > 1 \right\} \subset \mathbb{R}^2
\end{displaymath}](img14.png) |
(2) |
satisfying the boundary conditions
Subsections