dc.contributor.author | EL-GEBEILY, MOHAMED | |
dc.contributor.author | O'REGAN, DONAL | |
dc.date.accessioned | 2018-09-20T16:07:10Z | |
dc.date.available | 2018-09-20T16:07:10Z | |
dc.date.issued | 2009-04-27 | |
dc.identifier.citation | EL-GEBEILY, MOHAMED; O'REGAN, DONAL (2009). A characterization of self-adjoint operators determined by the weak formulation of second-order singular differential expressions. Glasgow Mathematical Journal 51 , 385-404 | |
dc.identifier.issn | 0017-0895,1469-509X | |
dc.identifier.uri | http://hdl.handle.net/10379/11340 | |
dc.description.abstract | In this paper we describe a special class of self-adjoint operators associated with the singular self-adjoint second-order differential expression E. This class is defined by the requirement that the sesquilinear form q(u, v) obtained from e by integration by parts once agrees with the inner product < lu, v >. We call this class Type I operators. The Friedrichs Extension is a special case of these operators. A complete characterization of these operators is given, for the various values of the deficiency index, in terms of their domains and the boundary conditions they satisfy (separated or coupled). | |
dc.publisher | Cambridge University Press (CUP) | |
dc.relation.ispartof | Glasgow Mathematical Journal | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | friedrichs extension | |
dc.title | A characterization of self-adjoint operators determined by the weak formulation of second-order singular differential expressions | |
dc.type | Article | |
dc.identifier.doi | 10.1017/s0017089509005060 | |
dc.local.publishedsource | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8D001CEB2FAE61888499C41FAC568D9C/S0017089509005060a.pdf/div-class-title-a-characterization-of-self-adjoint-operators-determined-by-the-weak-formulation-of-second-order-singular-differential-expressions-div.pdf | |
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