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
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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