# $C^2$ regularity of the surface tension for the $\nabla \phi$ interface model

29 Sep 2019 Armstrong Scott Wu Wei

We consider the $\nabla \phi$ interface model with a uniformly convex interaction potential possessing H\"older continuous second derivatives. Combining ideas of Naddaf and Spencer with methods from quantitative homogenization, we show that the surface tension (or free energy) associated to the model is at least $C^{2,\beta}$ for some $\beta>0$... (read more)

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