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On the regularization of the collision solutions of the one-center problem with weak forces

dc.contributor.authorCastelli, R.
dc.contributor.authorTerracini, S.
dc.date.accessioned2017-02-21T08:19:29Z
dc.date.available2017-02-21T08:19:29Z
dc.date.issued2011-12-31
dc.identifier.issn1078-0947
dc.identifier.urihttp://hdl.handle.net/20.500.11824/627
dc.description.abstractWe study the possible regularization of collision solutions for one centre problems with a weak singularity. In the case of logarithmic singularities, we consider the method of regularization via smoothing of the potential. With this technique, we prove that the extended ow, where collision solutions are replaced with transmission trajectories, is continuous, though not differentiable, with respect to the initial data.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectLogarithmic potential
dc.subjectRegularization technique
dc.subjectTwo-body problem
dc.subjectWeak singular potential
dc.titleOn the regularization of the collision solutions of the one-center problem with weak forcesen_US
dc.typeinfo:eu-repo/semantics/bookParten_US
dc.identifier.doi10.3934/dcds.2011.31.1197
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84859519813&doi=10.3934%2fdcds.2011.31.1197&partnerID=40&md5=9e17ebeb6e4d0e7bd1bdf9261972da0e
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleDiscrete and Continuous Dynamical Systemsen_US


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