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Riemann-Hilbert Problems with canonical normalization and families of commuting operators
Riemann-Hilbert Problems commuting operators integrable 3-wave interactions
2012/4/26
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a fam...
Closed magnetic geodesics on closed hyperbolic Riemann surfaces
prescribed geodesic curvature periodic orbits in magnetic fields closed magnetic geodesics
2010/12/1
We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesic curvature.
一般形式的一阶椭圆组的非线性Riemann问题
Riemann问题 椭圆型方程 奇异积分方程
2008/2/11
卷期页码：第26卷 第1期
(2005年1月) P.72
文章编号：1000-0887(2005)01-0072-05
一般形式的一阶椭圆组的非线性Riemann问题
李明忠1，宋洁2
1.上海大学 数学系，上海 200436；2.华东理工大学 数学系，上海 200237
摘要：讨论一般形式的一阶线性和拟线性椭圆型方程的非线性Riemann问题，通过把这些问题转化为奇异积分方程，利...
We study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its ``building block components". We also prove the equivalence b...
一类双曲守恒律方程组的二维Riemann问题
双曲型守恒律 二维Riemann问题 δ-波
2007/12/11
本文中，我们构造了一类非线性双曲守恒律的二维Riemann问题的整体解．对某些初值，该解含6一波．我们引进了一种变换，并采用了文[1]的定义，克服了方程中的δ函数相乘带来的困难．