Details
| Original language | English |
|---|---|
| Pages (from-to) | 77-95 |
| Number of pages | 19 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 550 |
| Publication status | Published - 1 Jan 2002 |
| Externally published | Yes |
Abstract
We consider flows of hypersurfaces in ℝn+l decreasing the energy induced by radially symmetric potentials. These flows are similar to the mean curvature flow but different phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothly to a uniquely determined sphere if they satisfy a strengthened starshapedness condition at the beginning.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal fur die Reine und Angewandte Mathematik, No. 550, 01.01.2002, p. 77-95.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Evolution of hypersurfaces in central force fields
AU - Schnürer, Oliver C.
AU - Smoczyk, Knut
PY - 2002/1/1
Y1 - 2002/1/1
N2 - We consider flows of hypersurfaces in ℝn+l decreasing the energy induced by radially symmetric potentials. These flows are similar to the mean curvature flow but different phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothly to a uniquely determined sphere if they satisfy a strengthened starshapedness condition at the beginning.
AB - We consider flows of hypersurfaces in ℝn+l decreasing the energy induced by radially symmetric potentials. These flows are similar to the mean curvature flow but different phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothly to a uniquely determined sphere if they satisfy a strengthened starshapedness condition at the beginning.
UR - http://www.scopus.com/inward/record.url?scp=0036386742&partnerID=8YFLogxK
U2 - 10.1515/crll.2002.075
DO - 10.1515/crll.2002.075
M3 - Article
AN - SCOPUS:0036386742
SP - 77
EP - 95
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
IS - 550
ER -