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.

Bibliographic Details
Main Authors: Yoshihiro Tonegawa, Yuko Nagase
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2005-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7464/4292