Large time behavior of exponential surface diffusion flows on $\mathbb{R}$

Yoshikazu Giga, Michael Gösswein, Sho Katayama

We consider a surface diffusion flow of the form $V={\partial }_s^{2}f(-\kappa )$ with a strictly increasing smooth function $f$ typically, $f(r)=e^r$, for a curve with arc-length parameter $…