∑Notes

T11 — Sharp-Interface Γ-Convergence

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#1
Let be the smoothness-to-double-well ratio. As , the rescaled boundary-morphology energy
$E_{bd}^{ε} (u) = ε x, y \sum N_{t} (x, y) (u (x) - u (y))^{2} + \frac{1}{ε} x \sum W (u (x))$
#2
Γ-converges to a perimeter functional
$F_{0} (χ_{E}) = c_{W} \cdot Per_{G} (E)$