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|Title:||On the stationary Cahn-Hilliard equation: Interior spike solutions|
|Keywords:||Spike layers;Weak convergence of measures;Phase transition;Viscosity solution|
|Citation:||J. Differential Equations 148: 231-267|
|Abstract:||We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such solutions whose spike lies close to a given nondegenerate peak point. Our construction uses among others the methods of viscosity solution, weak convergence of measures and Liapunov-Schmidt reduction.|
|Appears in Collections:||Mechanical and Aerospace Engineering|
Dept of Mathematics Research Papers
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