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

0448472 - MÚ 2016 RIV GE eng J - Journal Article
Lomtatidze, Alexander - Opluštil, Z.
Well-posedness of the second-order linear singular Dirichlet problem.
Georgian Mathematical Journal. Roč. 22, č. 3 (2015), s. 409-419. ISSN 1072-947X. E-ISSN 1572-9176
Institutional support: RVO:67985840
Keywords : singular Dirichlet problem * well-posedness
Subject RIV: BA - General Mathematics
Impact factor: 0.417, year: 2015
http://www.degruyter.com/view/j/gmj.2015.22.issue-3/gmj-2015-0023/gmj-2015-0023.xml

Conditions guaranteeing well-posedness of the problem u''=p0(t)u+q0(t), u(a)=0, u(b)=0, are established. Here p0,q0:|a,b|→R are locally Lebesgue integrable functions and may have singularities at t=a and t=b.
Permanent Link: http://hdl.handle.net/11104/0250162