带变系数的第二类奇异积分方程的Galerkin解法(英文)  

GALERKIN METHOD FOR SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND WITH VARIABLE COEFFICIENTS

作　　者：韩惠丽[1] 龚亚方[1] 

机构地区：[1]武汉大学数学统计学院,武汉430072

出　　处：《数学杂志》2003年第3期257-262,共6页Journal of Mathematics

基　　金：Science Foundation of SEC of China(TY10126028)

摘　　要：基于对未知函数用适当的正交多项式进行逼近,本文讨论了带变系数的第二类奇异积分方程的Galerkin解法,证明了逼近解的存在唯一性,给出了逼近解在带权L^2模和一致模下的误差估计。Based on the approximation of the unknown function by a finite series of appropriate orthogonal polynomials, Galerkin solution of singular integral equations of the second kind with variable coefficients is discussed, the existence and uniqueness of the approximating solution is proved, the error estimates under the weighted L2 norm and uniform norm are given out.

关 键 词：奇异积分方程 GALERKIN方法 指标 

分 类 号：O175.5[理学—数学]