| 不适定的部分Dirichlet问题广义解的右逆表示 |
| |
| 引用本文： | 李大勇,付吉丽,王玉文.不适定的部分Dirichlet问题广义解的右逆表示[J].数学学报,2012(5):947-952. |
| |
| 作者姓名： | 李大勇 付吉丽 王玉文 |
| |
| 作者单位： | 哈尔滨学院数学系;哈尔滨石油学院数学教研室;哈尔滨师范大学数学系 |
| |
| 基金项目： | 国家自然科学基金资助项目(11071051) |
| |
| 摘 要： | 对于曹伟平,马吉溥给出的部分Dirichlet问题的广义解的定义进行进一步研究,证得该问题的广义解等价于同一偏微分方程的齐次Dirichlet-Neumann混杂问题的弱解,并用算子右逆给出该广义解的表示.
|
| 关 键 词： | 不适定性 泊松方程 混杂边值问题 |
A Representation of Right Inverse to the Ill-Posed Partial Dirichlet Boundary Value Problem |
| |
| Da Yong LI.A Representation of Right Inverse to the Ill-Posed Partial Dirichlet Boundary Value Problem[J].Acta Mathematica Sinica,2012(5):947-952. |
| |
| Authors: | Da Yong LI |
| |
| Institution: | Mathematics Teaching and Research Section,Harbin Petroleum University, Harbin 150027,P.R.China Department of Mathematics,Harbin Normal University,Harbin 150025,P.R.China |
| |
| Abstract: | We further study on the definition of general solution of ill-posed partial boundary value problem that Weiping Cao and Jipu Ma obtained.We prove that this problem is equivalence to the weak solution of homogeneous Dirichlet and Neumann mix boundary problem to the same PDE and obtained the representation of right inverse to the general solution of the ill-posed problem. |
| |
| Keywords: | Ill-posed Poisson’s equation mixed boundary value problem |
| 本文献已被 CNKI 等数据库收录！ |
