In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that the initial set is sufficiently regular. This scheme is inspired by the one introduced by Cahn-Taylor [15] to modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation.
@article{arxiv.2506.14423,
title = {On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane},
author = {Andrea Kubin},
journal= {arXiv preprint arXiv:2506.14423},
year = {2025}
}