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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.

 

A simple proof of scattering for the intercritical inhomogeneous NLS
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by Jason Murphy PDF
Proc. Amer. Math. Soc. 150 (2022), 1177-1186 Request permission

Abstract:

We adapt the argument of Dodson and Murphy [Proc. Amer. Math. Soc. 145 (2017), pp. 4859–4867] to give a simple proof of scattering below the ground state for the intercritical inhomogeneous nonlinear Schrödinger equation. The decaying factor in the nonlinearity obviates the need for a radial assumption.
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Additional Information
  • Jason Murphy
  • Affiliation: Department of Mathematics & Statistics, Missouri S&T, Rolla, Missouri 65409
  • MR Author ID: 1034475
  • Email: jason.murphy@mst.edu
  • Received by editor(s): January 12, 2021
  • Received by editor(s) in revised form: June 10, 2021
  • Published electronically: December 14, 2021
  • Communicated by: Catherine Sulem
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 1177-1186
  • MSC (2020): Primary 35Q55
  • DOI: https://doi.org/10.1090/proc/15717
  • MathSciNet review: 4375712