Partial Gaussian Bounds for Degenerate Differential Operators
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T02:18:00Z | |
| dc.date.available | 2024-04-04T02:18:00Z | |
| dc.date.created | 2010 | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0926-2601 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189275 | |
| dc.description.abstractEn | Let S be the semigroup on L2(Rd) generated by a degenerate elliptic operator, formally equal to − ∂k ckl ∂l , where the coefficients ckl are real bounded measurable and the matrix C(x) = (ckl(x)) is symmetric and positive semi-definite for all x ∈ Rd. Let ⊂ Rd be a bounded Lipschitz domain and μ > 0. Suppose that C(x) ≥ μ I for all x ∈ . We show that the operator P St P has a kernel satisfying Gaussian bounds and Gaussian Hölder bounds, where P is the projection of L2(Rd) onto L2( ). Similar results are for the operators u → χ St(χ u), where χ ∈ C∞ b (Rd) and C(x) ≥ μI for all x ∈ supp χ. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Degenerate operators | |
| dc.subject.en | Gaussian bounds | |
| dc.subject.en | Morrey and Campanato spaces | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s11118-010-9209-6 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Potential Analysis | |
| bordeaux.page | 175-199 | |
| bordeaux.volume | 35 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00992239 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| dc.title.it | Partial Gaussian Bounds for Degenerate Differential Operators | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00992239v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Potential%20Analysis&rft.date=2011&rft.volume=35&rft.issue=2&rft.spage=175-199&rft.epage=175-199&rft.eissn=0926-2601&rft.issn=0926-2601&rft.au=OUHABAZ,%20El%20Maati&rft.genre=article |
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