THE GEOMETRIC PROPERTIES OF A DEGENERATE PARABOLIC EQUATION WITH PERIODIC SOURCE TERM

被引：0
|
作者：
Guan, W. G. [1 ,2 ]
Pan, J. Q. [2 ]
机构：
[1] Shanghai Normal Univ, Inst Math, Shanghai 200235, Peoples R China
[2] Jimei Univ, Inst Math, Xiamen 361021, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 04期
关键词：
Degenerate parabolic equation; Riemannian manifold; periodic source term; REGULARITY PROPERTIES; POROUS-MEDIA; FLOWS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the geometric properties of solution and lower bound estimate of Delta u(m-1) of the Cauchy problem for a degenerate parabolic equation with periodic source term u(t) = Delta u(m) + u(p) sin t. Our objective is to show that: (1) with continuous variation of time t, the surface phi = [u(x, t)](m delta/q) is a complete Riemannian manifold floating in space RN+1 and is tangent to the space R-N at partial derivative H-0(t); (2) the surface u = u(x, t) is tangent to the hyperplane W(t) at partial derivative H-u(t).
引用
收藏
页码：799 / 808
页数：10
相关论文
共 50 条
12345