Scattering below the ground state for the 2$d$ radial nonlinear\n Schr\\"odinger equation Article Swipe
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Anudeep Kumar Arora
,
Benjamin Dodson
,
Jason Murphy
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1906.00515
· OA: W4288337699
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1906.00515
· OA: W4288337699
We revisit the problem of scattering below the ground state threshold for the\nmass-supercritical focusing nonlinear Schr\\"odinger equation in two space\ndimensions. We present a simple new proof that treats the case of radial\ninitial data. The key ingredient is a localized virial/Morawetz estimate; the\nradial assumption aids in controlling the error terms resulting from the\nspatial localization.\n
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