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	Boundary value problems for two types of degenerate elliptic systems in R-4
	Wang Li-ping ; Wen Guo-chun
	2016
关键词	Clifford analysis generalized regular function degenerate elliptic system Riemann boundary value problem oblique derivative problem
英文摘要	Firstly, the Riemann boundary value problem for a kind of degenerate elliptic system of the first order equations in R-4 is proposed. Then, with the help of the one-to-one correspondence between the theory of Clifford valued generalized regular functions and that of the degenerate elliptic system's solution, the boundary value problem as stated above is transformed into a boundary value problem related to the generalized regular functions in Clifford analysis. Moreover, the solution of the Riemann boundary value problem for the degenerate elliptic system is explicitly described by using a kind of singular integral operator. Finally, the conditions for the existence of solutions of the oblique derivative problem for another kind of degenerate elliptic system of the first order equations in R-4 are derived.; National Science Foundation of China [11401162, 11571089, 11401159, 11301136]; Natural Science Foundation of Hebei Province [A2015205012, A2016205218, A2014205069, A2014208158]; Hebei Normal University Dr. Fund [L2015B03]; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; wlpxjj@163.com; 4; 469-480; 31
语种	英语
出处	CSCD ; SCI ; 知网
出版者	APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/458263]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang Li-ping,Wen Guo-chun. Boundary value problems for two types of degenerate elliptic systems in R-4. 2016-01-01.

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