Uniform Sobolev estimates for non-trapping metrics

Guillarmou, Colin; Hassell, Andrew

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Uniform Sobolev estimates for non-trapping metrics

Date

2014

Authors

Guillarmou, Colin

Hassell, Andrew

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 Sogge [13].

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https://dspace-test.anu.edu.au/handle/1885/733716206

Collections

DevOps Pure Testing

Source

Journal of the Institute of Mathematics of Jussieu

Type

Article

DOI

10.1017/S1474748013000273

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Uniform Sobolev estimates for non-trapping metrics

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