Regular approximation of singular second-order differential expressions

被引：3
|
作者：
Furati, KM [1 ]
El-Gebeily, MA [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 283卷 / 01期
关键词：
D O I：
10.1016/S0022-247X(03)00217-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct regular real self-adjoint approximations for real self-adjoint operators associated with the differential expression l(y) = 1/omega [-(py')' + qy]. If 0 is in the resolvent of the original operator, then the construction guarantees that 0 is a point of the resolvent set of the approximating operators. The notion of strong resolvent convergence is generalized and we prove the strong resolvent convergence of the approximations. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：100 / 113
页数：14
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