Indexed by:
Abstract:
We consider Schrodinger equation in R2+1 with nonlinear scalar potential. The potentials are time-independent or determined as solutions to inhomogeneous wave equations. By constructing a modified propagator, we derive Kato-type smoothing estimates for the nonlinear Schrodinger (NLS) equation. With the help of these results, we prove the unique solvability of the nonlinear Klein-Gordon-Schrodinger (NKGS) system for all time in the energy space. (C) 2014 Elsevier Inc. All rights reserved.
Keyword:
Reprint Author's Address:
Email:
Source :
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN: 0022-0396
Year: 2014
Issue: 10
Volume: 256
Page: 3440-3462
2 . 4 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:81
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 8
SCOPUS Cited Count: 9
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
Affiliated Colleges: