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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Scattering below the ground state for the 2$d$ radial nonlinear Schrödinger equation
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by Anudeep Kumar Arora, Benjamin Dodson and Jason Murphy PDF
Proc. Amer. Math. Soc. 148 (2020), 1653-1663 Request permission

Abstract:

We revisit the problem of scattering below the ground state threshold for the mass-supercritical focusing nonlinear Schrödinger equation in two space dimensions. We present a simple new proof that treats the case of radial initial data. The key ingredient is a localized virial/Morawetz estimate; the radial assumption aids in controlling the error terms resulting from the spatial localization.
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Additional Information
  • Anudeep Kumar Arora
  • Affiliation: Department of Mathematics & Statistics, Florida International University, Miami, Florida 33199
  • Email: ana001@fiu.edu
  • Benjamin Dodson
  • Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
  • MR Author ID: 891326
  • Email: bdodson4@jhu.edu
  • Jason Murphy
  • Affiliation: Department of Mathematics & Statistics, Missouri University of Science & Technology, Rolla, Missouri 65409
  • MR Author ID: 1034475
  • Email: jason.murphy@mst.edu
  • Received by editor(s): June 2, 2019
  • Received by editor(s) in revised form: July 24, 2019, and August 21, 2019
  • Published electronically: December 6, 2019
  • Additional Notes: The second author was supported by NSF DMS-1764358 and completed part of this work while a von Neumann fellow at the Institute for Advanced Study
  • Communicated by: Catherine Sulem
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 1653-1663
  • MSC (2010): Primary 35Q55
  • DOI: https://doi.org/10.1090/proc/14824
  • MathSciNet review: 4069202