| 关于一个拟线性抛物型方程反问题解的存在唯一性问题 |
| |
| 引用本文： | 钮佩琨,徐亚兰.关于一个拟线性抛物型方程反问题解的存在唯一性问题[J].哈尔滨师范大学自然科学学报,2003,19(4):21-25,31. |
| |
| 作者姓名： | 钮佩琨 徐亚兰 |
| |
| 作者单位： | 哈尔滨学院 |
| |
| 摘 要： | 本文对一个拟线性抛物型方程反问题的两个未知系数b(u)，α(u)限制在两个特定的集合内，构造一个映射，利用其单调性，推出它是一个单射，从而证明了反问题解的存在唯一性．
|
| 关 键 词： | 拟线性抛物型方程 反问题 解 存在唯一性 Banach空间 |
UNIQUE EXISTENCE PROBLEM FOR THE SOLUTION OF AN INVERSE PROBLEM IN THE QUASILINEAR PARABOLIC EQUATIONS |
| |
| PARABOLIC EQUATIONSNiu Peikun,Xu Yalan.UNIQUE EXISTENCE PROBLEM FOR THE SOLUTION OF AN INVERSE PROBLEM IN THE QUASILINEAR PARABOLIC EQUATIONS[J].Natural Science Journal of Harbin Normal University,2003,19(4):21-25,31. |
| |
| Authors: | PARABOLIC EQUATIONSNiu Peikun Xu Yalan |
| |
| Institution: | Harbin College |
| |
| Abstract: | In this paper, for an inverse problem of the quasilinear parabolic equations, two unknown coefficients b(u), a(u) ar limited in two sets. A mapping is constructed. Using its monotoneity, we deduce the mapping is an injection, thus we prove the unique existence of this inverse problem. |
| |
| Keywords: | Quasilinear parabolic equation Inverse problem Unique existence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
