Interior gradient estimate for 1-D anisotropic curvature flow
We establish the interior gradient estimate for general 1-D anisotropic curvature flow. The estimate depends only on the height of the graph and not on the gradient at initial time. The proof relies on the monotonicity property of the number of zeros for the parabolic equation.
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| Format: | Article |
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Sociedade Brasileira de Matemática
2005-11-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7464/4292 |
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Article |
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doaj-d30776c0edae4d1d9051e0a1b38f4ce82020-11-24T23:42:42ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882005-11-01231-29398Interior gradient estimate for 1-D anisotropic curvature flowYoshihiro TonegawaYuko NagaseWe establish the interior gradient estimate for general 1-D anisotropic curvature flow. The estimate depends only on the height of the graph and not on the gradient at initial time. The proof relies on the monotonicity property of the number of zeros for the parabolic equation.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7464/4292curvature flowanisotropic curvaturegradient estimate. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yoshihiro Tonegawa Yuko Nagase |
| spellingShingle |
Yoshihiro Tonegawa Yuko Nagase Interior gradient estimate for 1-D anisotropic curvature flow Boletim da Sociedade Paranaense de Matemática curvature flow anisotropic curvature gradient estimate. |
| author_facet |
Yoshihiro Tonegawa Yuko Nagase |
| author_sort |
Yoshihiro Tonegawa |
| title |
Interior gradient estimate for 1-D anisotropic curvature flow |
| title_short |
Interior gradient estimate for 1-D anisotropic curvature flow |
| title_full |
Interior gradient estimate for 1-D anisotropic curvature flow |
| title_fullStr |
Interior gradient estimate for 1-D anisotropic curvature flow |
| title_full_unstemmed |
Interior gradient estimate for 1-D anisotropic curvature flow |
| title_sort |
interior gradient estimate for 1-d anisotropic curvature flow |
| publisher |
Sociedade Brasileira de Matemática |
| series |
Boletim da Sociedade Paranaense de Matemática |
| issn |
0037-8712 2175-1188 |
| publishDate |
2005-11-01 |
| description |
We establish the interior gradient estimate for general 1-D anisotropic curvature flow. The estimate depends only on the height of the graph and not on the gradient at initial time. The proof relies on the monotonicity property of the number of zeros for the parabolic equation. |
| topic |
curvature flow anisotropic curvature gradient estimate. |
| url |
http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7464/4292 |
| work_keys_str_mv |
AT yoshihirotonegawa interiorgradientestimatefor1danisotropiccurvatureflow AT yukonagase interiorgradientestimatefor1danisotropiccurvatureflow |
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1725503545966329856 |