Translating solutions for Gaußcurvature flows with Neumann boundary conditions
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Schnürer, Oliver C.; Schwetlick, Hartmut |
| Year of publication: | 2004 |
| Published in: | Pacific Journal of Mathematics ; 213 (2004), 1. - pp. 89-109. - ISSN 0030-8730. - eISSN 1945-5844 |
| DOI (citable link): | https://dx.doi.org/10.2140/pjm.2004.213.89 |
| Summary: |
We consider strictly convex hypersurfaces which are evolving by the non-parametric logarithmic Gauß curvature flow subject to a Neumann boundary condition. Solutions are shown to converge smoothly to hypersurfaces moving by translation. In particular, for bounded domains we prove that convex functions with prescribed normal derivative satisfy a uniform oscillation estimate.
|
| Subject (DDC): | 510 Mathematics |
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SCHNÜRER, Oliver C., Hartmut SCHWETLICK, 2004. Translating solutions for Gaußcurvature flows with Neumann boundary conditions. In: Pacific Journal of Mathematics. 213(1), pp. 89-109. ISSN 0030-8730. eISSN 1945-5844. Available under: doi: 10.2140/pjm.2004.213.89
@article{Schnurer2004-01-01Trans-41194, title={Translating solutions for Gaußcurvature flows with Neumann boundary conditions}, year={2004}, doi={10.2140/pjm.2004.213.89}, number={1}, volume={213}, issn={0030-8730}, journal={Pacific Journal of Mathematics}, pages={89--109}, author={Schnürer, Oliver C. and Schwetlick, Hartmut} }
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