| 带积分边界条件的Poisson方程边值问题解的极限 |
| |
| 引用本文： | 练钦棠. 带积分边界条件的Poisson方程边值问题解的极限[J]. 华南理工大学学报(自然科学版), 1996, 0(8) |
| |
| 作者姓名： | 练钦棠 |
| |
| 作者单位： | 广州大学 |
| |
| 摘 要： | 讨论一类带积分形式边界条件的Poisson方程边值问题解的极限。当区域的内孔收缩为零时，该极限函数就是不带积分形式边界条件的Poisson方程边值问题的解。
|
| 关 键 词： | 边值问题 Sobolev空间 范数 嵌入定理 弱收敛 强收敛 广义解 |
THE LIMIT OF SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF POISSON''''S EQUATION WITH BOUNDARY CONDITION OF INTEGRAL FORMS |
| |
| Lian Qintang. THE LIMIT OF SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF POISSON''''S EQUATION WITH BOUNDARY CONDITION OF INTEGRAL FORMS[J]. Journal of South China University of Technology(Natural Science Edition), 1996, 0(8) |
| |
| Authors: | Lian Qintang |
| |
| Affiliation: | Guangzhou University |
| |
| Abstract: | In this paper the limit of solutions for some boundary value problems of Poisson's equation with boundary condition of integral forms is deduced. When the inner hole of domain is contracted to zero, the limiting function is the solution for boundary value problem of Poisson's equation without condition of integral forms. |
| |
| Keywords: | boundary value problems Sobolev space norms imbedding theorems week convergence strong convergence generalized solution |
| 本文献已被 CNKI 维普 等数据库收录！ |
