| 伪抛物型复方程的Riemann─Hilbert初边值问题的可解性及其近似解的误差估计 |
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| 引用本文： | 闻国椿,许克明.伪抛物型复方程的Riemann─Hilbert初边值问题的可解性及其近似解的误差估计[J].高校应用数学学报(A辑),1994(4). |
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| 作者姓名： | 闻国椿 许克明 |
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| 作者单位： | 北京大学，河北轻化工学院 |
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| 基金项目： | 国家自然科学基金,河北省自然科学基金 |
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| 摘 要： | 本文使用参数开拓法证明了非线性伪抛物型复方程在多连通区域上的Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ初边值问题的可解性，并对近似解作出了误差估计。
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| 关 键 词： | 伪抛物型复方程，初边值问题，参数开拓法，误差估计 |
THE SOLVABILITY OF RIEMANN-HILBERT INITIAL BOUNDARY VALUE PROBLEMS FOR PSEUDOPARABOLIC COMPLEX EQUATIONS AND THE ERROR ESTIMATE OF THEIR APPROXIMATE SOLUTIONS |
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| Wen Guochun.THE SOLVABILITY OF RIEMANN-HILBERT INITIAL BOUNDARY VALUE PROBLEMS FOR PSEUDOPARABOLIC COMPLEX EQUATIONS AND THE ERROR ESTIMATE OF THEIR APPROXIMATE SOLUTIONS[J].Applied Mathematics A Journal of Chinese Universities,1994(4). |
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| Authors: | Wen Guochun |
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| Institution: | Wen Guochun (Peking University)Xu Keming (Hebei Institute of Light and Chemical Technology) |
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| Abstract: | In this paper the solvability of Riemann-Hilbert initial boundary value problems for nonlinear pseudoparabolic complex equations in a multiply connected domain is given by using the method of extension of parameters,and the error estimate of aapproximate solutions also is given. |
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| Keywords: | Pseudoparabolic Complex Equation Initial Boundary Value Problem Method of Extension of Parameters Error Estimate |
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