Exponential surface diffusion flows on R are globally well-posed for small initial slopes, and their large-time rescaled profiles converge to those of the classical linearized surface diffusion flow.
Differential Equations 302 (2021), 617–661
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Large time behavior of exponential surface diffusion flows on $\mathbb{R}$
Exponential surface diffusion flows on R are globally well-posed for small initial slopes, and their large-time rescaled profiles converge to those of the classical linearized surface diffusion flow.