Details
| Original language | English |
|---|---|
| Pages (from-to) | 1043-1073 |
| Number of pages | 31 |
| Journal | Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire |
| Volume | 20 |
| Issue number | 6 |
| Publication status | Published - 1 Jan 2003 |
| Externally published | Yes |
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 subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Mathematical Physics
- Mathematics(all)
- Applied Mathematics
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In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 20, No. 6, 01.01.2003, p. 1043-1073.
Research output: Contribution to journal › Article › Research › 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 -