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
Collections | ANU Research Publications |
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Date published: | 2014 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/70895 |
Source: | Journal of the Institute of Mathematics of Jussieu |
DOI: | 10.1017/S1474748013000273 |
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