摘要
本文研究抛物方程:其中A′(0)=0,因而方程在u=0点退化,设u(x,t)是方程的有界广义解,若A(u)=integral from n=0 to u(a(s)ds.其中.则我们将得到u(x,t)的Hlder估计.
In this paper, we discuss parabolic equations: (A(u))t=△u + divB(u), (x,t)∈QT.when A'(0)=0 and so that the equations are degenerate at u(x,t)=0. Suppose u(x,t) be a bounded general solution, we have gotten the H 1der estimates for u(x,t).
出处
《河南大学学报(自然科学版)》
CAS
1991年第2期45-50,共6页
Journal of Henan University:Natural Science
关键词
退化物方程
广义解
Hoelder估计
Degenerate Parabolic Equation, general solution, Holder estimates.