Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1043-1073 |
| Seitenumfang | 31 |
| Fachzeitschrift | Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire |
| Jahrgang | 20 |
| Ausgabenummer | 6 |
| Publikationsstatus | Veröffentlicht - 1 Jan. 2003 |
| Extern publiziert | Ja |
Abstract
We consider the flow of a strictly convex hypersurface driven by the Gauß curvature. For the Neumann boundary value problem and for the second boundary value problem we show that such a flow exists for all times and converges eventually to a solution of the prescribed Gauß curvature equation. We also discuss oblique boundary value problems and flows for Hessian equations.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Mathematische Physik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Jahrgang 20, Nr. 6, 01.01.2003, S. 1043-1073.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Neumann and second boundary value problems for Hessian and Gauß curvature flows
AU - Schnürer, Oliver C.
AU - Smoczyk, Knut
PY - 2003/1/1
Y1 - 2003/1/1
N2 - We consider the flow of a strictly convex hypersurface driven by the Gauß curvature. For the Neumann boundary value problem and for the second boundary value problem we show that such a flow exists for all times and converges eventually to a solution of the prescribed Gauß curvature equation. We also discuss oblique boundary value problems and flows for Hessian equations.
AB - We consider the flow of a strictly convex hypersurface driven by the Gauß curvature. For the Neumann boundary value problem and for the second boundary value problem we show that such a flow exists for all times and converges eventually to a solution of the prescribed Gauß curvature equation. We also discuss oblique boundary value problems and flows for Hessian equations.
UR - http://www.scopus.com/inward/record.url?scp=0346724414&partnerID=8YFLogxK
U2 - 10.1016/S0294-1449(03)00021-0
DO - 10.1016/S0294-1449(03)00021-0
M3 - Article
AN - SCOPUS:0346724414
VL - 20
SP - 1043
EP - 1073
JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
SN - 0294-1449
IS - 6
ER -