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Scattering for quantum Zakharov system in two space dimensions.

Authors :
Segata, Jun-ichi
Source :
Proceedings of the American Mathematical Society. Aug2024, Vol. 152 Issue 8, p3367-3379. 13p.
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*QUANTUM scattering
*MATHEMATICS

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
8
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
178145090
Full Text :
https://doi.org/10.1090/proc/16774