English

The surface diffusion flow with elasticity in three dimensions

Analysis of PDEs 2018-10-26 v1

Abstract

We establish 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.

Keywords

Cite

@article{arxiv.1810.10749,
  title  = {The surface diffusion flow with elasticity in three dimensions},
  author = {Nicola Fusco and Vesa Julin and Massimiliano Morini},
  journal= {arXiv preprint arXiv:1810.10749},
  year   = {2018}
}
R2 v1 2026-06-23T04:52:14.402Z