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The Riemann-Hilbert Problem for Mixed Complex Equations of First Order with Degenerate Rank 0
Wen, Guo-chun
2015
关键词Riemann-Hilbert problem quasilinear mixed complex equations degenerate rank 0 unique solvability of the problem Holder continuity of singular double integer TRICOMI PROBLEM
英文摘要This article deals with the Riemann-Hilbert boundary value problem for quasilinear mixed (elliptic-hyperbolic) complex equations of first order with degenerate rank 0. Firstly, we give the representation theorem and prove the uniqueness of solutions for the boundary value problem. Afterwards, by using the method of successive iteration, the existence and estimates of solutions for the boundary value problem are verified. The above problem possesses the important applications to the Tricomi problem of mixed type equations of second order. In this article, the proof of Holder continuity of a singular double integer is very difficult and interesting as in this Section 4 below.; Mathematics, Applied; SCI(E); 0; 1; 31-42; 31
语种英语
出处SCI
出版者acta mathematicae applicatae sinica english series
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157266]  
专题数学科学学院
推荐引用方式
GB/T 7714
Wen, Guo-chun. The Riemann-Hilbert Problem for Mixed Complex Equations of First Order with Degenerate Rank 0. 2015-01-01.
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