Exponential stability for a mirror–symmetric three phase boundary motion by surface diffusion

Joachim Escher, Harald Garcke, Kazuo Itô · Mathematische Nachrichten · 2003

Abstract We apply the principle of linearized stability to prove that a stationary state is exponentially stable under a mirror–symmetric three phase boundary motion by surface diffusion. A main difficulty in the application of the linearized stability principle arises from the inhomogeneous nonlinear boundary conditions.

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