The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

Details The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

2005-08-16

arxiv.org/abs/math/0508298v2

Mathematics

Analysis of PDEs

Scientific paper

We obtain global well-posedness, scattering, and global
$L^{\frac{2(n+2)}{n-2}}_{t,x}$ spacetime bounds for energy-space solutions to
the energy-critical nonlinear Schr\"odinger equation in $\R_t\times \R^n_x$,
$n\geq 5$.

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