湖北大学学报(自然科学版)
湖北大學學報(自然科學版)
호북대학학보(자연과학판)
2009年
4期
343-346
,共4页
完全图%先验估计%多项式增长率%长时存在性%渐进状态
完全圖%先驗估計%多項式增長率%長時存在性%漸進狀態
완전도%선험고계%다항식증장솔%장시존재성%점진상태
entire graphs%polynomial growth%linear growth%curvature estimates%longtime exisence%asymptotic behavior
对于完全图平均曲率流(e)F/(e)t=H,F_((.,0))=F0,前人已做过深入的研究,在前人的基础上将该完全图平均曲率流推广,主要研究完全图平均曲率流(e)F/(e)t=g(t)H,F_((.,0))=F0,其中g(t)为[0,∞)上的单调增函数,g(t)≥1,且g(t)在[0,∞)上一致有界.换句话说,完全图平均曲率流(e)F/(e)t=H,F_((.,0))=F0只是完全图平均曲率流(e)F/(e)t=g(t)H,F_((.,0))=F0里面"g(t)≡1"特殊情况.
對于完全圖平均麯率流(e)F/(e)t=H,F_((.,0))=F0,前人已做過深入的研究,在前人的基礎上將該完全圖平均麯率流推廣,主要研究完全圖平均麯率流(e)F/(e)t=g(t)H,F_((.,0))=F0,其中g(t)為[0,∞)上的單調增函數,g(t)≥1,且g(t)在[0,∞)上一緻有界.換句話說,完全圖平均麯率流(e)F/(e)t=H,F_((.,0))=F0隻是完全圖平均麯率流(e)F/(e)t=g(t)H,F_((.,0))=F0裏麵"g(t)≡1"特殊情況.
대우완전도평균곡솔류(e)F/(e)t=H,F_((.,0))=F0,전인이주과심입적연구,재전인적기출상장해완전도평균곡솔류추엄,주요연구완전도평균곡솔류(e)F/(e)t=g(t)H,F_((.,0))=F0,기중g(t)위[0,∞)상적단조증함수,g(t)≥1,차g(t)재[0,∞)상일치유계.환구화설,완전도평균곡솔류(e)F/(e)t=H,F_((.,0))=F0지시완전도평균곡솔류(e)F/(e)t=g(t)H,F_((.,0))=F0리면"g(t)≡1"특수정황.
Some mathematians have studied the mean curvature evolution of entire graph (e)F/(e)t=H, F_((. ,0)) = F0, in this article, we main studied its extending form (e)F/(e)t= H, F_((.,0))=F0, while g(t) is a function on [0,∞), g(t) ≥1, and g(t) is bounded , For another saying, the mean curvature evolution of entire graph (e)F/(e)t = H, F_((.,0)) = F0 is the special case "g (t) ≡ 1"in mean curvature evolution of entire graph (e)F /(e)t= g(t) H ,F_((. ,0)) =F0.