Riemann-Hilbert problem for first order complex equations of mixed type with degenerate curve

被引:0
作者
Guo-chun Wen
机构
[1] Peking University,School of Mathematical Sciences
来源
Applied Mathematics-A Journal of Chinese Universities | 2010年 / 25卷
关键词
Riemann-Hilbert problem; mixed complex equations of first order; degenerate curve; 35M05; 35J70; 35L80;
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中图分类号
学科分类号
摘要
This paper considers the Riemann-Hilbert problem for linear mixed (elliptic-hyperbolic) complex equations of first order with degenerate curve in a simply connected domain. We first give the representation theorem and uniqueness of solutions for such boundary value problem. Then by using the methods of successive iteration and parameter extension, the existence of solutions for this problem is proved.
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页码:253 / 263
页数:10
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