Riemann-Hilbert Problem and Its Well-Posed-Ness for Elliptic Complex Equations of First Order in Multiply Connected Domains | |
Wen Guochun ; Wang Liping | |
2014 | |
关键词 | Riemann-Hilbert problems quasilinear elliptic complex equations multiply connected domains priori estimates and existence of solutions |
英文摘要 | In this article, we first propose the Riemann-Hilbert problem for uniformly elliptic complex equations of first order and its well-posed-ness in multiply connected domains. Then we give the integral representation of solutions for modified Riemann-Hilbert problem of the complex equations. Moreover we shall obtain a priori estimates of solutions of the modified Riemann-Hilbert problem and verify its solvability. Finally the solvability results of the original boundary value problem can be obtained.; Supported by the National Natural Science Foundation of China,the Science Foundation of Hebei Province; 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 4; 435-445; 34 |
语种 | 英语 |
出处 | CSCD ; 知网 |
出版者 | Journal of Mathematical Research with Applications |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/416174] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wen Guochun,Wang Liping. Riemann-Hilbert Problem and Its Well-Posed-Ness for Elliptic Complex Equations of First Order in Multiply Connected Domains. 2014-01-01. |
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