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Uniform Sobolev Estimates For Non-Trapping Metrics

Guillarmou, Colin; Hassell, Andrew


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

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Journal of the Institute of Mathematics of Jussieu
DOI: 10.1017/S1474748013000273


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