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Energy scattering of a modified Davey–Stewartson system in three dimensions.

Energy scattering of a modified Davey–Stewartson system in three dimensions.

Authors :
Lu, Jing
Tang, Xingdong
Source :
Applicable Analysis. Mar2023, Vol. 102 Issue 5, p1490-1510. 21p.
Publication Year :
2023

Abstract

We obtain the global well-posedness and the scattering theory of the solution for the modified Davey–Stewartson system { i ∂ t u + Δ u = | u | 4 u + u v x 1 , (t , x) ∈ R × R 3 , − Δ v = (| u | 2) x 1 in the energy space H 1 ( R 3) in this paper. Since the interaction Morawetz estimate fails and the nonlinearity is non-local, we employ the concentration-compactness argument introduced by Kenig and Merle (Invent Math. 2006;166:645–675) to establish the scattering result. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICS

Details

Language :
English
ISSN :
00036811
Volume :
102
Issue :
5
Database :
Academic Search Index
Journal :
Applicable Analysis
Publication Type :
Academic Journal
Accession number :
163169555
Full Text :
https://doi.org/10.1080/00036811.2021.1989417