Translating solutions to the Gauss curvature flow with flat sides

نویسندگان

چکیده

We study the evolution of convex complete non-compact graphs by positive powers Gauss curvature. show that if initial graph has a local uniform convexity, then evolves any power curvature for all time. In particular, is not necessarily differentiable.

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ژورنال

عنوان ژورنال: Analysis & PDE

سال: 2021

ISSN: ['2157-5045', '1948-206X']

DOI: https://doi.org/10.2140/apde.2021.14.595