Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 77-95 |
| Seitenumfang | 19 |
| Fachzeitschrift | Journal fur die Reine und Angewandte Mathematik |
| Ausgabenummer | 550 |
| Publikationsstatus | Veröffentlicht - 1 Jan. 2002 |
| Extern publiziert | Ja |
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 Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal fur die Reine und Angewandte Mathematik, Nr. 550, 01.01.2002, S. 77-95.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -