Well-posedness of the second-order linear singular Dirichlet problem

被引：0
作者：
Lomtatidze, Alexander [1 ,2 ]
Oplustil, Zdenek [1 ]
机构：
[1] Brno Univ Technol, Fac Mech Engn, Inst Math, Tech 2, Brno 61669, Czech Republic
[2] Acad Sci Czech Republic, Branch Brno, Inst Math, Brno 61662, Czech Republic
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2015年 / 22卷 / 03期
关键词：
Singular Dirichlet problem; well-posedness;
D O I：
10.1515/gmj-2015-0023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Conditions guaranteeing well-posedness of the problem u '' = p(0)(t)u + q(0)(t), u(a) = 0, u(b) = 0, are established. Here p(0),q(0): ]a,b[-> R are locally Lebesgue integrable functions and may have singularities at t = a and t = b
引用
收藏
页码：409 / 419
页数：11
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