作者：Zai; Hui; GAN; Jian; ZHANGkleingordon方程驻波基态存在性补稳定性
摘要：This paper is concerned with the standing wave in the inhomogeneous nonlinear KleinGordon equations with critical exponent. Firstly, we obtain the existence of standing waves associatedwith the ground states by using variational calculus as well as a compactness lemma. Next, we establishsome sharp conditions for global existence in terms of the characteristics of the ground state. Then,we show that how small the initial data are for the global solutions to exist. Finally, we prove theinstability of the standing wave by combining the former results.
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