Kernel and eigenfunction estimates for some second order elliptic operators
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| hal.structure.identifier | Department of Information Engineering, Electrical Engineering and Applied Mathematics [DIEM] | |
| dc.contributor.author | RHANDI, Abdelaziz | |
| dc.date.accessioned | 2024-04-04T02:18:05Z | |
| dc.date.available | 2024-04-04T02:18:05Z | |
| dc.date.created | 2011 | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189281 | |
| dc.description.abstractEn | For a potential V such that V (x) |x|α with α > 2 we prove that the heat kernel kt (x, y) associated to the uniformly elliptic operator A =− nj ,k=1 ∂k(a jk∂ j ) + V satisfies the estimate kt (x, y) Ce−μ0tect−b e− 2 √ θ α+2 |x|1+α2 |x|α4 +n−1 2 e− 2 √ θ α+2 |y|1+α2 |y|α4 +n−1 2 for large x, y ∈ Rn and all t > 0. Here 0 < θ 1 is an appropriate constant, b > α+2 α−2 and μ0 is the first eigenvalue of A. We also obtain an estimate for large |x| of the eigenfunctions of A. © | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Heat kernels Schrödinger operators Eigenfunctions Log-Sobolev inequality | |
| dc.title.en | Kernel and eigenfunction estimates for some second order elliptic operators | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jmaa.2011.09.045 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Journal of Mathematical Analysis and Applications | |
| bordeaux.page | 799-806 | |
| bordeaux.volume | 387 | |
| 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-00992219 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00992219v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Analysis%20and%20Applications&rft.date=2012&rft.volume=387&rft.issue=2&rft.spage=799-806&rft.epage=799-806&rft.eissn=0022-247X&rft.issn=0022-247X&rft.au=OUHABAZ,%20El%20Maati&RHANDI,%20Abdelaziz&rft.genre=article |
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