摘要
对一类二阶椭圆型偏微分方程的初值问题的粘性解进行研究.在u0(x)是RN上的一致连续函数,H在RN×φ(N)上连续且H是退化椭圆的假设下,给出初值问题ut+H(Du,D2u)=0,0<t<+∞u(x,0)=u0(x),x∈RN的比较原理.
In this paper, the comparison theorem for the initial value problem of one type of second order partial differential equation {u（x,0）=u0（x）,x∈R^N u1＋H（Du,D^2u）=0,0〈t〈＋∞,is researched. If u0 is uniformly continuous function in R^N, and H is degenerate elliptic and is continuous function in R^N×φ（N）, the comparison theorem for this problem is suggested.
出处
《北京建筑工程学院学报》
2010年第1期38-40,44,共4页
Journal of Beijing Institute of Civil Engineering and Architecture
关键词
椭圆型偏微分方程
粘性解
比较原理
partial differential equation
degenerate ellipticity
comparison theorem
