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dc.contributor.authorCaceres, Maria J.*
hal.structure.identifier
dc.contributor.authorCañizo, José Alfredo*
hal.structure.identifier
dc.contributor.authorMischler, Stéphane*
dc.date.accessioned2012-03-02T12:31:05Z
dc.date.available2012-03-02T12:31:05Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/8353
dc.language.isoenen
dc.subjectself-similar fragmentation equationsen
dc.subjectpartial differential equationsen
dc.subject.ddc519en
dc.titleRate of convergence to self-similarity for the fragmentation equation in L1 spacesen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherDepartamento de Matematica Aplicada (UGR) http://www.ugr.es Universidad de Granada – Universidad de Granada;Espagne
dc.contributor.editoruniversityotherDepartament de Matemàtiques Universitat Autónoma de Barcelona;Espagne
dc.description.abstractenIn a recent result by the authors, it was proved that solutions of the self-similar fragmentation equation converge to equilibrium exponentially fast. This was done by showing a spectral gap in weighted $L^2$ spaces of the operator defining the time evolution. In the present work we prove that there is also a spectral gap in weighted $L^1$ spaces, thus extending exponential convergence to a larger set of initial conditions. The main tool is an extension result in arXiv : 1006.5523.en
dc.relation.isversionofjnlnameCommunications in Applied and Industrial Mathematics
dc.relation.isversionofjnlvol1en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages299-308en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00659001en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSIMAIen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.conftitleSIMAI 2010
dc.relation.confdate2010
dc.relation.confcityCagliari
dc.relation.confcountryItalie
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