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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.
- 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 :
- *MATHEMATICS
Subjects
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