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多圆柱域特征流形上的奇异积分方程组
SINGULAR INTEGRAL EQUATION SET ON CHARACTERISTIC MANIFOLD OF SEVERAL CYLINDRICAL DOMAINS
【摘要】 在多圆柱域中引入奇异积分算了H~n、B~n和Γ~n,利用H~n、B~n和Γ~n的一系列复合奇性积分公式,讨论了含H~n、B~n和Γ~n的常系数奇异积分方程组,得到一些有意义的结果。
【Abstract】 Singular integral operators (H)~_n,(B)~_n and (Γ)~_n are introduced on characteristic manifold of several cylindrical domains.With a series of the compound formulas of (H)~_n,(B)~_n and (Γ)~_n on the characteristic manifold,we discuss constant coefficient singular integral equation set,and obtain some useful conclusions.
【关键词】 多圆柱域;
特征流形;
Hn、Bn和Γn算子;
复合奇性积分公式;
奇异积分方程组;
【Key words】 several cylindrical domains; characteristic manifold; operators (H)~_n,(B)~_n and (Γ)~_n; compound formula; singular integral equation set;
【Key words】 several cylindrical domains; characteristic manifold; operators (H)~_n,(B)~_n and (Γ)~_n; compound formula; singular integral equation set;
【基金】 江西省自然科学基金资助项目(0011024)
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2005年01期
- 【分类号】O175.5
- 【下载频次】25