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- W2963755936 abstract "We prove a bilinear $L^2(R^d) times L^2(R^d) to L^2(R^{d+1})$ estimate for a pair of oscillatory integral operators with different asymptotic parameters and phase functions satisfying a transversality condition. This is then used to prove a bilinear refinement to Strichartz estimates on closed manifolds, similar to that on $R^d$, but at a relevant semi-classical scale. These estimates will be employed elsewhere to prove global well-posedness below $H^1$ for the cubic nonlinear Schrodinger equation on closed surfaces." @default.
- W2963755936 created "2019-07-30" @default.
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- W2963755936 date "2012-08-27" @default.
- W2963755936 modified "2023-09-25" @default.
- W2963755936 title "A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds" @default.
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- W2963755936 doi "https://doi.org/10.2140/apde.2012.5.339" @default.
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