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• W2195481569 abstract "In this paper, we prove the scattering in the energy space for nonlinear Schrodinger equations with regular potentials in $Bbb R^d$ namely, $i{partial _t}u + Delta u - V(x)u + lambda |u|^{p - 1}u = 0$. In the first part, we prove scattering for small data for all $1+frac{2}{d}<ple1+frac{4}{d-2}$, $dge3$. The index $1+frac{2}{d}$ is sharp for scattering by the result of W. Strauss cite{W2}. This result generalizes the one-dimensional work of S. Cuccagna, V. Georgiev, N. Visciglia cite{SVN} to all $dge 3$. In the second part, we consider scattering for large data, especially we prove scattering for radial data with energy-critical $p$ in defocusing case. The difficulty is that the equation is not scaling invariant, but the energy space is homogeneous." @default.
• W2195481569 created "2016-06-24" @default.
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• W2195481569 creator A5066222509 @default.
• W2195481569 date "2015-06-18" @default.
• W2195481569 modified "2023-09-27" @default.
• W2195481569 title "Decay and scattering of solutions of nonlinear Schrodinger equations with regular potentials" @default.
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• W2195481569 hasPublicationYear "2015" @default.
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