| 间断系数Riemann边值问题的稳定性 |
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| 引用本文： | 林娟.间断系数Riemann边值问题的稳定性[J].武汉大学学报(理学版),2011,57(2). |
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| 作者姓名： | 林娟 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072;福建商业高等专科学校基础部,福建,福州,350012 |
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| 基金项目： | 国家自然科学基金资助项目(10871150); 福建省自然科学基金资助项目(2008J0187); 福建省教育厅科研资助项目(JA08255) |
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| 摘 要： | 当边界曲线发生微小的光滑扰动时,本文给出了扰动后的间断系数Riemann边值问题的解的状况,借助核密度具有弱奇性的Cauchy型积分关于积分曲线的稳定性,讨论了间断系数Riemann边值问题的解的稳定性,并给出误差估计.
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| 关 键 词： | 间断系数 Riemann边值问题 光滑摄动 稳定性 |
Stability of Riemann Boundary Value Problem with Discontinuous Coefficients |
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| LIN Juan.Stability of Riemann Boundary Value Problem with Discontinuous Coefficients[J].JOurnal of Wuhan University:Natural Science Edition,2011,57(2). |
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| Authors: | LIN Juan |
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| Institution: | LIN Juan1,2(1.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China,2.Department of Foundation,Fujian Commercial College,Fuzhou 350012,Fujian,China) |
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| Abstract: | This paper gives the solutions of the perturbed Riemann boundary value problem with discontinuous coefficients when the boundary occur smooth perturbation.We discuss the stability of solutions of Riemann boundary value problem with discontinuous coefficients by dint of the stability of Cauchy type integral with Kernel Density of Class H*,and the error estimation is shown. |
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| Keywords: | discontinuous coefficients Riemann boundary value problem smooth perturbation stability |
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