Variational Characterization of Interior Interfaces in Phase Transition Models on Convex Plane Domains
نویسنده
چکیده
We consider the singularly perturbed Allen-Cahn equation on a strictly convex plane domain. We show that when the perturbation parameter tends to zero there are solutions having a transition layer that tends to a straight line segment. This segment can be characterized as the shortest path intersecting the boundary orthogonally at two points.
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تاریخ انتشار 2003