Fractional powers and singular perturbations of quantum differential Hamiltonians

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dc.contributor.areaMathematicsen_US
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorOttolini, Andrea
dc.contributor.authorScandone, Raffaele
dc.date.accessioned2018-01-29T14:39:26Z
dc.date.available2018-01-29T14:39:26Z
dc.date.issued2018-01
dc.descriptionDedicated to Gianfausto Dell'Antonio on the occasion of his 85th birthdayen_US
dc.description.abstractWe consider the fractional powers of singular (point-like) perturbations of the Laplacian and the singular perturbations of fractional powers of the Laplacian, and we compare two such constructions focusing on their perturbative structure for resolvents and on the local singularity structure of their domains. In application to the linear and non-linear Schrödinger equations for the corresponding operators, we outline a programme of relevant questions that deserve being investigated.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35305
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;01/2018/MATE
dc.relation.lastpage26en_US
dc.subjectFractional Laplacianen_US
dc.subjectSingular perturbations of differential operatorsen_US
dc.subjectKrein-Vĭšik-Birman self-adjoint extension theoryen_US
dc.titleFractional powers and singular perturbations of quantum differential Hamiltoniansen_US
dc.typePreprinten_US
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