Neumann and second boundary value problems for Hessian and Gauß curvature flows
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Schnürer, Oliver C.; Smoczyk, Knut |
| Year of publication: | 2003 |
| Published in: | Annales de l'Institut Henri Poincare (C) Non Linear Analysis ; 20 (2003), 6. - pp. 1043-1073. - ISSN 0294-1449. - eISSN 1873-1430 |
| DOI (citable link): | https://dx.doi.org/10.1016/S0294-1449(03)00021-0 |
| Title in another language: | Le problème aux limites de Neumann et le deuxième problème aux limites pour des flots hessiens et de courbure de Gauß |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
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SCHNÜRER, Oliver C., Knut SMOCZYK, 2003. Neumann and second boundary value problems for Hessian and Gauß curvature flows. In: Annales de l'Institut Henri Poincare (C) Non Linear Analysis. 20(6), pp. 1043-1073. ISSN 0294-1449. eISSN 1873-1430. Available under: doi: 10.1016/S0294-1449(03)00021-0
@article{Schnurer2003-11Neuma-41195, title={Neumann and second boundary value problems for Hessian and Gauß curvature flows}, year={2003}, doi={10.1016/S0294-1449(03)00021-0}, number={6}, volume={20}, issn={0294-1449}, journal={Annales de l'Institut Henri Poincare (C) Non Linear Analysis}, pages={1043--1073}, author={Schnürer, Oliver C. and Smoczyk, Knut} }
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