Uniqueness properties of degenerate elliptic 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 | 2011 | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189276 | |
| dc.description.abstractEn | Let be an open subset of Rd and K = − d i, j=1 ∂i ci j ∂ j + d i=1 ci ∂i + c0 a second-order partial differential operator with real-valued coefficients ci j = c ji ∈ W1,∞ loc ( ), ci , c0 ∈ L∞,loc( ) satisfying the strict ellipticity condition C = (ci j) > 0. Further let H = − d i, j=1 ∂i ci j ∂ j denote the principal part of K. Assuming an accretivity condition C ≥ κ(c⊗c T ) withκ > 0, an invariance condition (1 , Kϕ) = 0 and a growth condition which allows C(x) ∼ |x|2 log |x| as |x| → ∞we prove that K is L1-unique if and only if H is L1-unique or Markov unique. | |
| dc.language.iso | en | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00028-012-0148-0 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | J. Evol. Equations | |
| bordeaux.page | 647-673 | |
| bordeaux.volume | 12 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00992235 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| dc.title.it | Uniqueness properties of degenerate elliptic operators | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00992235v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=J.%20Evol.%20Equations&rft.date=2012&rft.volume=12&rft.spage=647-673&rft.epage=647-673&rft.au=OUHABAZ,%20El%20Maati&rft.genre=article |
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