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Author:

Shi, Qihong (Shi, Qihong.) | Zhang, Xiao-Bing (Zhang, Xiao-Bing.) | Wang, Changyou (Wang, Changyou.) | Wang, Shu (Wang, Shu.)

Indexed by:

EI Scopus SCIE

Abstract:

We investigate the blowup solutions to the Klein-Gordon-Schrodinger (KGS) system with power nonlinearity in spatial dimensions RN (N >= 2). Relying on a Lyapunov functional, we establish a perturbed virial-type identity and prove the existence of blowup solutions for the system with a negative energy and small mass. Moreover, we obtain a new finite-time blowup result of solutions to KGS system in the energy space by constructing a differential inequality.

Keyword:

negative energy blowup results virial identity KGS system

Author Community:

  • [ 1 ] [Shi, Qihong]Lanzhou Univ Technol, Sch Math, Lanzhou 730050, Gansu, Peoples R China
  • [ 2 ] [Zhang, Xiao-Bing]Lanzhou Univ Technol, Sch Math, Lanzhou 730050, Gansu, Peoples R China
  • [ 3 ] [Wang, Changyou]Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610103, Sichuan, Peoples R China
  • [ 4 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Shi, Qihong]Lanzhou Univ Technol, Sch Math, Lanzhou 730050, Gansu, Peoples R China

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Source :

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

ISSN: 0170-4214

Year: 2019

Issue: 11

Volume: 42

Page: 3929-3941

2 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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