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    <rdf:Description rdf:about="https://research-explorer.ista.ac.at/record/22075">
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        <dc:title>Global well-posedness and scattering for the defocusing cubic nonlinear Schrödinger equation in four dimensions</dc:title>
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                <foaf:name></foaf:name>
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        <bibo:abstract>In this short note, we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical nonlinear Schrödinger equation (NLS) in four space dimensions obtained previously by Ryckman and Visan [“Global well-posedness and scattering for the defocusing energycritical nonlinear Schrödinger equation in R^1+4⁠.” American Journal of Mathematics 129 (2007): 1–60. MR2288737]. The argument is inspired by the recent work of Dodson [“Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d≥3.” (2009): preprint arXiv:0912.2467.] on the mass-critical NLS.</bibo:abstract>
        <bibo:volume>2012</bibo:volume>
        <bibo:issue>5</bibo:issue>
        <bibo:startPage>1037-1067</bibo:startPage>
        <bibo:endPage>1037-1067</bibo:endPage>
        <dc:publisher>Oxford University Press</dc:publisher>
        <bibo:doi rdf:resource="10.1093/imrn/rnr051" />
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