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Modified Scattering for the Boson Star Equation

Author(s): Pusateri, Fabio Giuseppe

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dc.contributor.authorPusateri, Fabio Giuseppe-
dc.date.accessioned2018-07-20T15:06:35Z-
dc.date.available2018-07-20T15:06:35Z-
dc.date.issued2014-12en_US
dc.identifier.citationPusateri, Fabio. (2014). Modified Scattering for the Boson Star Equation. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 332 (1203 - 1234. doi:10.1007/s00220-014-2094-xen_US
dc.identifier.issn0010-3616-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1rh37-
dc.description.abstractWe consider the question of scattering for the boson star equation in three space dimensions. This is a semi-relativistic Klein-Gordon equation with a cubic nonlinearity of Hartree type. We combine weighted estimates, obtained by exploiting a special null structure present in the equation, and a refined asymptotic analysis performed in Fourier space, to obtain global solutions evolving from small and localized Cauchy data. We describe the behavior of such solutions at infinity by identifying a suitable nonlinear asymptotic correction to scattering. As a byproduct of the weighted energy estimates alone, we also obtain global existence and (linear) scattering for solutions of semi-relativistic Hartree equations with potentials decaying faster than Coulomb.en_US
dc.format.extent1203 - 1234en_US
dc.language.isoenen_US
dc.relation.ispartofCOMMUNICATIONS IN MATHEMATICAL PHYSICSen_US
dc.rightsAuthor's manuscripten_US
dc.titleModified Scattering for the Boson Star Equationen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/s00220-014-2094-x-
dc.date.eissued2014-07-17en_US
dc.identifier.eissn1432-0916-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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