一类周期数据的Riemann-Hilbert分析  

Riemann-Hilbert analysis of a class of periodic data

作　　者：贾瑜洁 刘华[1] JIA Yujie;LIU Hua(School of Science,Tianjin University of Technology and Education,Tianjin 300222)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《宁夏师范学院学报》2020年第10期21-26,共6页Journal of Ningxia Normal University

摘　　要：运用Hilbert核的奇异积分方程解决周期散射数据问题.该方法是通过将双调和函数与Riemann-Hilbert边值问题相结合,把不连续数据散射问题转化为一个奇异积分方程.最后,给出此方程在特定条件下的解.The problem of periodic scattering data is solved by the singular integral equation of Hilbert kernel in this paper.By combining the biharmonic function with the Riemann-Hilbert boundary value problem,firstly,the discontinuous data scattering problem is transformed into a singular integral equation.Then,the solution of this equation under certain conditions is given.

关 键 词：双调和函数 周期Riemann边值 Hilbert核的奇异积分方程 平面弹性力学 

分 类 号：O174.5[理学—数学]