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Title: Stationary solutions for the Cahn-Hilliard equation
Authors: Winter, M
Wei, J
Keywords: Semilinear elliptic equation;Phase transition
Issue Date: 1998
Publisher: Elsevier
Citation: Ann Inst Henri Poincare Anal Non Lineaire 15 (1998), 459-492
Abstract: We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point. Then we show that there exists a spike-like stationary solution whose global maximum lies on the boundary. Our method is based on Lyapunov-Schmidt reduction and the Brouwer fixed-point theorem.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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