| 非线性抛物型方程组的两类边值问题 |
| |
| 引用本文： | 许克明,王善维.非线性抛物型方程组的两类边值问题[J].河北科技大学学报,1997(3). |
| |
| 作者姓名： | 许克明 王善维 |
| |
| 作者单位： | 河北科技大学（中校区）基础课部 |
| |
| 摘 要： | 首先给出边值问题的条件，然后讨论抛物算子Ｌｕ与Ｌ１ｕ的某些性质，给出问题Ｄ与问题Ｎ的解的先验估计，最后利用参数开拓法和Ｓｃｈａｕｄｅｒ不动点定理证明两类边值问题的可解性。
|
| 关 键 词： | 抛物型方程组 边值问题 先验估计 |
On Two Kinds of Boundary Value Problem for Nonlinear Parabolic System of Equations |
| |
| Institution: | Middle District |
| |
| Abstract: | The conditions of boundary value problem are first given.Then some properties of parabolic operators Lu and L1u are discussed,and the prior estimates of solutions for problem D and problem N are given.Finally we prove the solvability of two kinds of boundary value problems by using the method of parameter extension and Schauder fixed point theorem. |
| |
| Keywords: | parabolic system of equations boundary value problem prior estimate |
| 本文献已被 CNKI 等数据库收录！ |
