We establish the short-time existence of a smooth solution to the surface diffusion equation with an elastic term and without an additional curvature regularization in three space dimensions. We also prove the asymptotic stability of strictly stable stationary sets.

中文翻译：

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三维弹性表面扩散流

我们建立了表面扩散方程的平滑解的短期存在性，该方程具有弹性项，并且在三个空间维度上没有额外的曲率正则化。我们还证明了严格稳定平稳集的渐近稳定性。