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

I. Laba, A. Soffer

math-pharXiv:math-ph/0002030

Abstract

We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,Lp estimates and asymptotic completeness of the wave operators is proved

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