We study some properties of De Giorgi's minimal barriers and local minimal barriers for geometric flows of subsets of R-n. Concerning evolutions of the form partial derivative u/partial derivative t + F(del u, del(2)u) = 0, we prove a representation result for the minimal barrier M(E, F-F) when F is not degenerate elliptic; namely, we show that M(E, F-F) = M(E, FF+), where F+ is the smallest degenerate elliptic function above F. We also characterize the disjoint sets property and the joint sets property in terms of the Function F.
Minimal Barriers for Geometric Evolutions
NOVAGA, MATTEO
1997-01-01
Abstract
We study some properties of De Giorgi's minimal barriers and local minimal barriers for geometric flows of subsets of R-n. Concerning evolutions of the form partial derivative u/partial derivative t + F(del u, del(2)u) = 0, we prove a representation result for the minimal barrier M(E, F-F) when F is not degenerate elliptic; namely, we show that M(E, F-F) = M(E, FF+), where F+ is the smallest degenerate elliptic function above F. We also characterize the disjoint sets property and the joint sets property in terms of the Function F.File in questo prodotto:
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