Show simple item record

dc.contributor.authorCazacu C.
dc.date.accessioned2017-02-21T08:18:19Z
dc.date.available2017-02-21T08:18:19Z
dc.date.issued2012-12-31
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/20.500.11824/557
dc.description.abstractThe aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrödinger operator A λ:=-δ-λ/|x| 2, λ∈R, in the situation where the origin is located on the boundary of a smooth domain Ω⊂R N, N≥1, showing some applications to semi-linear elliptic equations. The problem we address is very much related to optimal Hardy-Poincaré inequalities with boundary singularities which have been investigated in the recent past in various papers. In view of that, the proper functional framework is described and explained. Secondly, we use the Pohozaev identity to derive the method of multipliers and we apply it to study the exact boundary controllability for the wave and Schrödinger equations corresponding to the singular operator A λ. In particular, this complements and extends well-known results by Vancostenoble and Zuazua (2009) [38], who discussed the same issue in the case of interior singularity. © 2012 Elsevier Inc.
dc.formatapplication/pdf
dc.languageeng
dc.publisherJournal of Functional Analysis
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectBoundary singularity
dc.subjectControllability
dc.subjectHardy inequality
dc.subjectMultiplier techniques
dc.subjectPohozaev identity
dc.subjectWave equation
dc.titleSchrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jfa.2012.09.006
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84868205550&doi=10.1016%2fj.jfa.2012.09.006&partnerID=40&md5=f246f8a76a8ab3b11225a1987881855c


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess