Rotationally symmetric translating soliton of H^k-flow  

作　　者：SHENG WeiMin & WU Chao Department of Mathematics,Zhejiang University,Hangzhou 310027,China 

出　　处：《Science China Mathematics》2010年第4期1011-1016,共6页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10771189 and 10831008)

摘　　要：This paper mainly considers the translating soliton of H k-flow for k 】 0.We give the asymptotic expression of the entire rotationally symmetric translating soliton,and obtain non-convex 'Wing-like' solution as well as two barrier solutions.Moreover,we show that the solution with polynomial growth keeps its growth rate when evolution.This paper mainly considers the translating soliton of H k-flow for k > 0.We give the asymptotic expression of the entire rotationally symmetric translating soliton,and obtain non-convex "Wing-like" solution as well as two barrier solutions.Moreover,we show that the solution with polynomial growth keeps its growth rate when evolution.

关 键 词：H k-flow TRANSLATING SOLITON 'Wing-like' solution 

分 类 号：O186.11[理学—数学]