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19992005
most citedA local smoothing estimate in higher dimensions

11 citations · 16 across the 5 of their papers we have counts for

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math-ph2000

Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds

I. Laba, A. Soffer

We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave o…