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作者:

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

收录:

Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

年份: 2014

期: 10

卷: 256

页码: 3440-3462

2 . 4 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:81

JCR分区:1

中科院分区:1

被引次数:

WoS核心集被引频次: 8

SCOPUS被引频次: 9

ESI高被引论文在榜: 0 展开所有

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