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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.
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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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