Accepted Paper

Inserted: 16 jun 2025
Last Updated: 28 nov 2025

Journal: Calculus of Variations and Partial Differential Equations
Year: 2025

Abstract:

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 for modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation.

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