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Scattering for the $1d$ NLS with inhomogeneous nonlinearities

Baker, Luke et al.
arXiv (All) · Papers
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analysis-of-pdes
We prove large-data scattering in $H^1$ for inhomogeneous nonlinear Schrödinger equations in one space dimension for powers $p>2$. We assume the inhomogeneity is nonnegative and repulsive; we additionally require decay at infinity in the case $2<p\leq 4$. We use the method of concentration-compactne
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