摘要
本文是在半无限区域内,讨论拟线性抛物型方程a(u)u_t=b(t)[a(u)u_x]_x确定两个未知参量a(u)和b(t)的一类反问题。采用的方法是通过恰当的变换把拟线性方程变为线性方程,然后变成等价的积分方程,利用Banach不动点原理,给出解的存在唯一性。
This paper deals with quasi-lincar parabolic equation a(u)u_t=b(t)[a(u)u_x]_xin the scmi-unlimitcd rangc. It dctcrmincs the first kind of anti-problcm about two unknown variables a(u) and b(t). The method is to change the quasi-linear equation into a linear equation, and then into a equivalent integral equation. It proves the existence and uniqueness or the solution by using Banach fixed point theorem.
出处
《东北林业大学学报》
CAS
CSCD
北大核心
1992年第2期80-88,共9页
Journal of Northeast Forestry University
关键词
偏微分方程
参量
反问题
Partial differential cquation
Paramctcr
Anti-problem
