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Short time existence for the curve diffusion flow with a contact angle

Abels, Helmut ; Butz, Julia



Abstract

We show short-time existence for curves driven by curve diffusion flow with a prescribed contact angle alpha is an element of (0, pi): The evolving curve has free boundary points, which are supported on a line and it satisfies a no-flux condition. The initial data are suitable curves of class W-2(gamma) with gamma is an element of (3/2, 2]. For the proof the evolving curve is represented by a ...

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