Partial Gaussian bounds for degenerate operators II
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| hal.structure.identifier | University of Auckland [Auckland] | |
| dc.contributor.author | A. F. M. TER ELST, . | |
| dc.date.accessioned | 2024-04-04T02:16:57Z | |
| dc.date.available | 2024-04-04T02:16:57Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0391-173X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189185 | |
| dc.description.abstractEn | Let 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.sponsorship | Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013 | |
| dc.language.iso | en | |
| dc.publisher | Scuola Normale Superiore | |
| dc.title.en | Partial Gaussian bounds for degenerate operators II | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2422/2036-2145.201201_005 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Annali della Scuola Normale Superiore di Pisa, Classe di Scienze | |
| bordeaux.page | 37-81 | |
| bordeaux.volume | XIV | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00998587 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00998587v1 | |
| bordeaux.COinS | ctx_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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