| 关于确定拟线性抛物型方程中两个未知参量的一类反问题 |
| |
| 引用本文： | 顾凤歧.关于确定拟线性抛物型方程中两个未知参量的一类反问题[J].东北林业大学学报,1992,20(2):80-88. |
| |
| 作者姓名： | 顾凤歧 |
| |
| 作者单位： | 哈尔滨市建设职工大学
(钮珮琨)，东北林业大学(顾凤歧) |
| |
| 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。
|
| 关 键 词： | 偏微分方程 参量 反问题 |
THE FIRST KIND OF ANTI-PROBLEM ABOUT DETERMINING TWO UNKNOWN VARIABLES IN EQUATION |
| |
| Niu Peikun.THE FIRST KIND OF ANTI-PROBLEM ABOUT DETERMINING TWO UNKNOWN VARIABLES IN EQUATION[J].Journal of Northeast Forestry University,1992,20(2):80-88. |
| |
| Authors: | Niu Peikun |
| |
| Institution: | Niu Peikun (Harbin Architecture Worker University) Gu Fengqi (Northcast Forestry University) |
| |
| Abstract: | 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. |
| |
| Keywords: | Partial differential cquation Paramctcr Anti-problem |
| 本文献已被 CNKI 维普 等数据库收录！ |
