Variational characterization of interior interfaces in phase transition models on convex plane domains
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 intersect...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/101/abstr.html |