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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Scattering for quantum Zakharov system in two space dimensions
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by Jun-ichi Segata;
Proc. Amer. Math. Soc. 152 (2024), 3367-3379
DOI: https://doi.org/10.1090/proc/16774
Published electronically: June 5, 2024

Abstract:

In this paper, we study long time behavior of solution to the quantum Zakharov system in two dimensions. We construct a small global solution to the quantum Zakharov system which scatters to a given free solution by using space-time resonance method developed by Gustafson-Nakanishi-Tsai [Commun. Contemp. Math. 11 (2009), pp. 657–707] and Germain-Masmoudi-Shatah [Int. Math. Res. Not. IMRN 3 (2009), 414–432; J. Math. Pures Appl. (9) 97 (2012), pp. 505–543] etc.
References
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Bibliographic Information
  • Jun-ichi Segata
  • Affiliation: Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, Japan
  • MR Author ID: 717473
  • Email: segata@math.kyushu-u.ac.jp
  • Received by editor(s): September 15, 2023
  • Received by editor(s) in revised form: December 28, 2023, and January 1, 2024
  • Published electronically: June 5, 2024
  • Additional Notes: The author was supported by JSPS KAKENHI Grant Numbers JP19H05597, JP20H00118, JP21H00993, and JP21K18588.
  • Communicated by: Benoit Pausader
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3367-3379
  • MSC (2020): Primary 35L30; Secondary 35P25
  • DOI: https://doi.org/10.1090/proc/16774
  • MathSciNet review: 4767268