拟线性混合方程的不连续边值问题

数学物理学报

拟线性混合方程的不连续边值问题

马忠泰; 许广山; 闻国椿

山东工商学院数学与信息科学学院烟台 264005

收稿日期:2005-12-14 修回日期:2006-08-16 出版日期:2007-08-25 发布日期:2007-08-25
通讯作者: 马忠泰
基金资助:
山东省自然科学基金(Q99A14)和山东省教育厅科技基金(J04A11)资助

Discontinuous Boundary Value Problem of Quasilinear Mixed Equations

Ma Zhongtai; Xu Guangshan;Wen Guochun

Department of Mathematics, Shandong Institute of Business and Technology, Yantai 264005

Received:2005-12-14 Revised:2006-08-16 Online:2007-08-25 Published:2007-08-25
Contact: Ma Zhongtai

摘要/Abstract

摘要： 该文利用复分析的方法对双曲区域实施共形映照,通过将双曲区域的边界曲线变换为直线段,研究了另一类更一般区域上的拟线性二阶混合型方程的不连续边值问题,得到了一些较新的可解性结果的推广.

关键词: 不连续边值问题, 拟线性混合方程, 逐次迭代, 双曲区域

Abstract: The discontinuous boundary value problem of quasilinear mixed type equations of second order in a much more general domain is discussed by using the method of complex analysis with a deformation such that the boundary curves of the hyperbolic domain are transformed onto the segments, and then, the solvable results in the more general domains are obtained, which are generalizations of the recent results in articles.

Key words: Discontinuous boundary value problem, Quasilinear mixed equation, Successive iteration, Hyperbolic domain

中图分类号:

35M05

马忠泰; 许广山; 闻国椿. 拟线性混合方程的不连续边值问题[J]. 数学物理学报, 2007, 27(4): 720-726.

Ma Zhongtai; Xu Guangshan;Wen Guochun. Discontinuous Boundary Value Problem of Quasilinear Mixed Equations[J]. Acta mathematica scientia,Series A, 2007, 27(4): 720-726.