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<titleInfo><title>Large data mass-subcritical NLS: Critical weighted bounds imply scattering</title></titleInfo>


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<name type="personal">
  <namePart type="given">Rowan</namePart>
  <namePart type="family">Killip</namePart>
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<name type="personal">
  <namePart type="given">Satoshi</namePart>
  <namePart type="family">Masaki</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Jason</namePart>
  <namePart type="family">Murphy</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Monica</namePart>
  <namePart type="family">Visan</namePart>
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<abstract lang="eng">We consider the mass-subcritical nonlinear Schr¨odinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity sc ∈ (max{−1, −d/2 }, 0), we prove that any solution satisfying {mathematical formular} on its maximal interval of existence must be global and scatter.</abstract>

<originInfo><publisher>Springer Nature</publisher><dateIssued encoding="w3cdtf">2017</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<relatedItem type="host"><titleInfo><title>Nonlinear Differential Equations and Applications NoDEA</title></titleInfo>
  <identifier type="issn">1021-9722</identifier>
  <identifier type="eIssn">1420-9004</identifier>
  <identifier type="arXiv">1606.01512</identifier><identifier type="doi">10.1007/s00030-017-0463-9</identifier>
<part><detail type="volume"><number>24</number></detail><detail type="issue"><number>4</number></detail>
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<chicago>Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” &lt;i&gt;Nonlinear Differential Equations and Applications NoDEA&lt;/i&gt;. Springer Nature, 2017. &lt;a href=&quot;https://doi.org/10.1007/s00030-017-0463-9&quot;&gt;https://doi.org/10.1007/s00030-017-0463-9&lt;/a&gt;.</chicago>
<ista>Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 24(4), 38.</ista>
<short>R. Killip, S. Masaki, J. Murphy, M. Vişan, Nonlinear Differential Equations and Applications NoDEA 24 (2017).</short>
<mla>Killip, Rowan, et al. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” &lt;i&gt;Nonlinear Differential Equations and Applications NoDEA&lt;/i&gt;, vol. 24, no. 4, 38, Springer Nature, 2017, doi:&lt;a href=&quot;https://doi.org/10.1007/s00030-017-0463-9&quot;&gt;10.1007/s00030-017-0463-9&lt;/a&gt;.</mla>
<apa>Killip, R., Masaki, S., Murphy, J., &amp;#38; Vişan, M. (2017). Large data mass-subcritical NLS: Critical weighted bounds imply scattering. &lt;i&gt;Nonlinear Differential Equations and Applications NoDEA&lt;/i&gt;. Springer Nature. &lt;a href=&quot;https://doi.org/10.1007/s00030-017-0463-9&quot;&gt;https://doi.org/10.1007/s00030-017-0463-9&lt;/a&gt;</apa>
<ama>Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. &lt;i&gt;Nonlinear Differential Equations and Applications NoDEA&lt;/i&gt;. 2017;24(4). doi:&lt;a href=&quot;https://doi.org/10.1007/s00030-017-0463-9&quot;&gt;10.1007/s00030-017-0463-9&lt;/a&gt;</ama>
<ieee>R. Killip, S. Masaki, J. Murphy, and M. Vişan, “Large data mass-subcritical NLS: Critical weighted bounds imply scattering,” &lt;i&gt;Nonlinear Differential Equations and Applications NoDEA&lt;/i&gt;, vol. 24, no. 4. Springer Nature, 2017.</ieee>
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