Existence of the classical solution to the fractional mean curvature flow with capillary-type boundary conditions

Linlin Fan, Peibiao Zhao

Wang, Weng and Xia[Math. Ann. 388 (2024), no. 2] studied a mean curvature type flow for the smooth, embedded capillary hypersurfaces with a constant contact angle $\theta \in (0,\pi )$ and c…