| 一般三阶椭圆复方程的Riemann-Hilbert问题和存在定理(英) |
| |
| 引用本文： | 闻国椿,康世祥. 一般三阶椭圆复方程的Riemann-Hilbert问题和存在定理(英)[J]. 四川师范大学学报(自然科学版), 1997, 0(5) |
| |
| 作者姓名： | 闻国椿 康世祥 |
| |
| 作者单位： | 北京大学数学系(闻国椿)，四川师范大学数学系(康世祥) |
| |
| 摘 要： | 本文讨论在多连通区域内一般三阶非线性椭圆复方程的Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ问题和存在定理．首先，给出复方程解的表示式和存在定理．其次，提出Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ问题及其适定性．而且给出变态Ｒｉｅ－ｍａｎｎ－Ｈｉｌｂｅｒｔ问题解的表示式，并证明此变态边值问题是可解的．最后，导出原Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ问题的可解条件．
|
| 关 键 词： | Riemann－Hilbert问题，解的表示式，存在定理 |
EXISTENCE THEOREM AND RIEMANN HILBERT PROBLEM FOR GENERAL ELLIPTIC COMPLEX EQUATIONS OF THIRD ORDER |
| |
| Wen Guochun. EXISTENCE THEOREM AND RIEMANN HILBERT PROBLEM FOR GENERAL ELLIPTIC COMPLEX EQUATIONS OF THIRD ORDER[J]. Journal of Sichuan Normal University(Natural Science), 1997, 0(5) |
| |
| Authors: | Wen Guochun |
| |
| Abstract: | This paper deals with the existence theorem and Riemann Hilbert boundary value problem for general nonlinear elliptic complex equations of third order in a multiply connected domains. First, authors give the representation and existence theorem of solutions for the complex equations. Second, they propose the Riemann Hilbert problem and its well posedness, the representation of solutions for the modified boundary value problem and prove its solvability. Finally solvability conditions of the original Riemann Hilbert problem are derived. |
| |
| Keywords: | Riemmann Hilbert problem Representation of solution Existence theorem |
| 本文献已被 CNKI 等数据库收录！ |
