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dc.contributor.authorEsteban, Maria J.
dc.contributor.authorDolbeault, Jean
dc.contributor.authorBosi, Roberta
dc.date.accessioned2009-07-06T15:03:11Z
dc.date.available2009-07-06T15:03:11Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/840
dc.language.isoenen
dc.subjectDirac-Coulomb Hamiltonian
dc.subjectsingular potentials
dc.subjectSchrödinger operator
dc.subjectoptimal inequalities
dc.subjectweighted norms
dc.subjectHardy inequalitiesen
dc.subject.ddc519en
dc.titleEstimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operatorsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherTechnische Universitat Wien;Autriche
dc.description.abstractenBy expanding squares, we prove several Hardy inequalities with two critical singularities and constants which explicitly depend upon the distance between the two singularities. These inequalities involve the L2 norm. Such results are generalized to an arbitrary number of singularities and compared with standard results given by the IMS method. The generalized version of Hardy inequalities with several singularities is equivalent to some spectral information on a Schrödinger operator involving a potential with several inverse square singularities. We also give a generalized Hardy inequality for Dirac operators in the case of a potential having several singularities of Coulomb type, which are critical for Dirac operators.en
dc.relation.isversionofjnlnameCommunications on Pure and Applied Mathematics
dc.relation.isversionofjnlvol7en
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages533–562en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00113158/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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