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arXiv · 1707.05171

The surface diffusion flow with elasticity in the plane

Nicola Fusco·Vesa Julin·Massimiliano Morini
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Abstract

In this paper we prove short-time existence of a smooth solution in the plane to the surface diffusion equation with an elastic term and without an additional curvature regularization. We also prove the asymptotic stability of strictly stable stationary sets.

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Nicola Fusco, Vesa Julin, Massimiliano Morini. 2017-07-17. The surface diffusion flow with elasticity in the plane. https://doi.org/10.1007/s00220-018-3200-2

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