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Title: On the stationary Cahn-Hilliard equation: Interior spike solutions
Authors: Winter, M
Wei, J
Keywords: Spike layers;Weak convergence of measures;Phase transition;Viscosity solution
Issue Date: 1998
Publisher: Elsevier
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
Mathematical Sciences

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