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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.

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Rate of $L^2$-concentration of blow-up solutions for critical nonlinear Schrödinger equation
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by Xiaoguang Li and Jian Zhang PDF
Proc. Amer. Math. Soc. 135 (2007), 3255-3262 Request permission

Abstract:

This paper concerns the rate of $L^2$-concentration of the blow-up solutions for the critical nonlinear Schrödinger equation. The result of Tsutsumi is improved in terms of Merle and Raphaël’s recent arguments.
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Additional Information
  • Xiaoguang Li
  • Affiliation: Software Laboratory, Sichuan Normal University, Chengdu 610066, People’s Republic of China
  • Address at time of publication: College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, People’s Republic of China
  • Email: lixiaoguang1235@msn.com
  • Jian Zhang
  • Affiliation: College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, People’s Republic of China
  • Received by editor(s): July 26, 2006
  • Published electronically: May 2, 2007
  • Additional Notes: The first author is partially supported by the National Science Foundation of the People’s Republic of China (No. 10271084).
    The second author is partially supported by the National Science Foundation of the People’s Republic of China (No. 10271084).
  • Communicated by: David S. Tartakoff
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 3255-3262
  • MSC (2000): Primary 35Q55; Secondary 35Q51, 35B05
  • DOI: https://doi.org/10.1090/S0002-9939-07-08902-2
  • MathSciNet review: 2322757