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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorOUHABAZ, El Maati
hal.structure.identifierUniversity of Auckland [Auckland]
dc.contributor.authorA. F. M. TER ELST, .
dc.date.accessioned2024-04-04T02:16:57Z
dc.date.available2024-04-04T02:16:57Z
dc.date.created2015
dc.date.issued2015
dc.identifier.issn0391-173X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189185
dc.description.abstractEnLet A = P @k ckl @l be a degenerate sectorial di erential operator with complex bounded mesaurable coe cients. Let Rd be open and suppose that A is strongly elliptic on . Further, let 2 C1 b (Rd) be such that an "-neighbourhood of supp is contained in . Let 2 (0; 1] and suppose that the cklj 2 C0; ( ). Then we prove (Holder) Gaussian kernel bounds for the kernel of the operator u 7! St( u), where S is the semigroup generated by A. Moreover, if = 1 and the coe cients are real, then we prove Gaussian bounds for the kernel of the operator u 7! Stu and for the derivatives in the rst variable. Finally we show boundedness on Lp(Rd) of restricted Riesz transforms.
dc.description.sponsorshipAux frontières de l'analyse Harmonique - ANR-12-BS01-0013
dc.language.isoen
dc.publisherScuola Normale Superiore
dc.title.enPartial Gaussian bounds for degenerate operators II
dc.typeArticle de revue
dc.identifier.doi10.2422/2036-2145.201201_005
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalAnnali della Scuola Normale Superiore di Pisa, Classe di Scienze
bordeaux.page37-81
bordeaux.volumeXIV
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00998587
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00998587v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annali%20della%20Scuola%20Normale%20Superiore%20di%20Pisa,%20Classe%20di%20Scienze&rft.date=2015&rft.volume=XIV&rft.issue=1&rft.spage=37-81&rft.epage=37-81&rft.eissn=0391-173X&rft.issn=0391-173X&rft.au=OUHABAZ,%20El%20Maati&A.%20F.%20M.%20TER%20ELST,%20.&rft.genre=article


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