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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

This paper is concerned with the wellposedness of the nonlinear Klein-Gordon-Schrodiger (NKGS) equations under multi-interactions in 3 dimensions. By using the vanishing viscosity techniques and the compactness arguments, we establish the existence of the global finite energy solutions for the NKGS equations. In addition, by introducing a time piecewise function with integral form, we prove uniqueness and continuous dependence on the initial data. (C) 2014 Elsevier Inc. All rights reserved.

Keyword:

NKGS equations Uniqueness Viscose method Continuous dependence

Author Community:

  • [ 1 ] [Shi, Qi-Hong]Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
  • [ 2 ] [Li, Wan-Tong]Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, 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, Gansu, Peoples R China

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2015

Volume: 251

Page: 55-64

4 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:82

JCR Journal Grade:1

CAS Journal Grade:2

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: 10

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