On fractional powers of singular perturbations of the Laplacian

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dc.contributor.areaMathematicsen_US
dc.contributor.authorGeorgiev, Vladimir
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorScandone, Raffaele
dc.date.accessioned2017-09-06T15:03:51Z
dc.date.available2017-09-06T15:03:51Z
dc.date.issued2017
dc.descriptionPartially supported by the 2014-2017 MIUR-FIR grant \Cond-Math: Condensed Matter and Mathematical Physics" code RBFR13WAET.en_US
dc.description.abstractWe qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin. In particular we provide an explicit control of the domain of such a fractional operator and of its decomposition into regular and singular parts. We also qualify the norms of the resulting singular fractional Sobolev spaces and their mutual control with the corresponding classical Sobolev norms.en_US
dc.identifier.sissaPreprint71/2016/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35293
dc.language.isoenen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;71/2016/MATE
dc.relation.lastpage37en_US
dc.subjectPoint interactionsen_US
dc.subjectSingular perturbations of the Laplacianen_US
dc.subjectRegular and singular component of a point-interaction operatoren_US
dc.titleOn fractional powers of singular perturbations of the Laplacianen_US
dc.typePreprinten_US
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