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- Title
Finite time blowup for Klein‐Gordon‐Schrödinger system.
- Authors
Shi, Qihong; Zhang, Xiao‐Bing; Wang, Changyou; Wang, Shu
- Abstract
We investigate the blowup solutions to the Klein‐Gordon‐Schrödinger (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.
- Subjects
DIFFERENTIAL inequalities; BLOWING up (Algebraic geometry); DIMENSIONS; FINITE, The
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 11, p3929
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5621