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Local energy decay and Strichartz estimates for the wave equat ion with time periodic perturbations

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPETKOV, Vesselin
dc.date.accessioned2024-04-04T02:40:42Z
dc.date.available2024-04-04T02:40:42Z
dc.date.issued2006
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191085
dc.description.abstractEnWe examine the memorphic continuaiton of the cut-off resolvent Rχ(z) = χ(U(T, 0) − z)−1χ, χ(x) ∈ C∞ 0 (Rn), where U(t, s) is the propagator related to the wave equation with non-trapping time-periodic perturbations (potential V (t, x) or a periodically moving obstacle) and T > 0 is the period. Assuming that Rχ(z) has no poles z with |z| ≥ 1, we establish a local energy decay and we obtain global Strichartz estimates. We discuss the case of trapping moving obstacles and we present some results and conjectures concerning the behavior of Rχ(z) for |z| > 1.
dc.language.isoen
dc.title.enLocal energy decay and Strichartz estimates for the wave equat ion with time periodic perturbations
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalProgress in Nonlinear Diff. Equations and their Applications
bordeaux.page267-285
bordeaux.volume69
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00375031
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00375031v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Progress%20in%20Nonlinear%20Diff.%20Equations%20and%20their%20Applications&rft.date=2006&rft.volume=69&rft.spage=267-285&rft.epage=267-285&rft.au=PETKOV,%20Vesselin&rft.genre=article


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