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The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

Monica Visan
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Abstract

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 Schrödinger equation in $\R_t\times \R^n_x$, $n\geq 5$.

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Monica Visan. 2006-06-24. The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions. https://arxiv.org/abs/math/0508298

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