Horizontal Gauss Curvature Flow of Graphs in Carnot Groups

被引：0
|
作者：
Martin, Erin Haller [1 ]
机构：
[1] Westminster Coll, Fulton, MO 65251 USA
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 04期
关键词：
Carnot group; comparison principle; curvature flow; horizontal Gauss curvature; viscosity solutions; VISCOSITY SOLUTIONS; CONVEX-FUNCTIONS; MAXIMUM PRINCIPLE; WEARING PROCESS; HYPERSURFACES; EVOLUTION; MOTION; MODEL;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the existence of continuous viscosity solutions to the equation describing the flow of a graph in the Carnot group G x R. according to its horizontal Gauss curvature. In doing so, we prove a comparison principle for degenerate parabolic equations of the form u(t) + F(D(0)u, (D(0)(2)u)*) = 0 for u defined on G.
引用
收藏
页码：1267 / 1302
页数：36
相关论文
共 50 条
12345