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Author:

Shi, Qi-Hong (Shi, Qi-Hong.) | Li, Wan-Tong (Li, Wan-Tong.) | Wang, Shu (Wang, Shu.)

Indexed by:

Scopus SCIE

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:

Unique solvability Klein-Gordon-Schrodinger equations Schrodinger equation Kato-type estimates

Author Community:

  • [ 1 ] [Shi, Qi-Hong]Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
  • [ 2 ] [Li, Wan-Tong]Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
  • [ 3 ] [Shi, Qi-Hong]Hebei Finance Univ, Dept Basic Courses, Baoding 071051, Hebei, Peoples R China
  • [ 4 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Shi, Qi-Hong]Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

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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

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