Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space

Details Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space

2006-06-24

arxiv.org/abs/math/0606611v1

Mathematics

Analysis of PDEs

Scientific paper

We prove global well-posedness and scattering for the nonlinear Schr\"odinger equation with power-type nonlinearity \begin{equation*} \begin{cases} i u_t +\Delta u = |u|^p u, \quad \frac{4}{n}

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