.png){kind=icon}
.png){kind=icon}
Return
A uniqueness and stability principle for surface diffusion
.png){kind=icon}
PRE
AI
DOI：10.4171/ifb/575.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We derive a uniqueness and stability principle for surface diffusion before the onset of singularities. The perturbations, however, are allowed to undergo topological changes. The main ingredient is a relative energy inequality, which in turn relies on the explicit construction of (volume-preserving) gradient flow calibrations. The proof applies to stationary solutions in any dimension and to general smooth solutions in two dimensions.
Keywords:
surface diffusion
stability
calibrations
gradient flows
Journal
I
IF:
1
Papers:
15
Citations:
0