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Neuman and second boundary value problems for Hessian and Gauss curvature flows
Knut Smoczyk and Oliver SchnürerAbstract
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
- Received:
- 07.05.02
- Published:
- 07.05.02
- MSC Codes:
- 53C44, 35K20, 53C42
- Keywords:
- geometric evolution, gauss curvature flow, second boundary value problem