Uniform Sobolev Estimates For Non-Trapping Metrics
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Guillarmou, Colin; Hassell, Andrew
Description
We prove uniform Sobolev estimates ∥u∥Lp < c∥(Δ- α)u∥Lp for α ε ℂ and p=2n(n+2), P = 2n(n-2) on non-trapping asymptotically conic manifolds of dimension ≥3, generalizing to non-constant coefficient Laplacians a result of Kenig, Ruiz and So
dc.contributor.author | Guillarmou, Colin | |
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dc.contributor.author | Hassell, Andrew | |
dc.date.accessioned | 2015-12-13T22:16:30Z | |
dc.date.available | 2015-12-13T22:16:30Z | |
dc.identifier.issn | 1474-7480 | |
dc.identifier.uri | http://hdl.handle.net/1885/70895 | |
dc.description.abstract | We prove uniform Sobolev estimates ∥u∥Lp < c∥(Δ- α)u∥Lp for α ε ℂ and p=2n(n+2), P = 2n(n-2) on non-trapping asymptotically conic manifolds of dimension ≥3, generalizing to non-constant coefficient Laplacians a result of Kenig, Ruiz and So | |
dc.publisher | Cambridge University Press | |
dc.source | Journal of the Institute of Mathematics of Jussieu | |
dc.title | Uniform Sobolev Estimates For Non-Trapping Metrics | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 13 | |
dc.date.issued | 2014 | |
local.identifier.absfor | 010102 - Algebraic and Differential Geometry | |
local.identifier.ariespublication | U3488905xPUB2459 | |
local.type.status | Published Version | |
local.contributor.affiliation | Guillarmou, Colin , Ecole Normale Superieure, Paris | |
local.contributor.affiliation | Hassell, Andrew, College of Physical and Mathematical Sciences, ANU | |
local.bibliographicCitation.issue | 3 | |
local.bibliographicCitation.startpage | 599 | |
local.bibliographicCitation.lastpage | 632 | |
local.identifier.doi | 10.1017/S1474748013000273 | |
local.identifier.absseo | 970101 - Expanding Knowledge in the Mathematical Sciences | |
dc.date.updated | 2015-12-11T07:26:34Z | |
local.identifier.scopusID | 2-s2.0-84901658404 | |
local.identifier.thomsonID | 000343244900005 | |
Collections | ANU Research Publications |
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