Journal of Jilin University Science Edition
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LIU Yang, XU Yan, DA Chaojiu
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We studied the Cauchy problem of damped Klein-Gordon equations using the energy method and the concavity method. The global existence of solutions was obtained by constructing a stable set and proving its invariance. The results show that the solutions of damped Klein-Gordon equations with high initial energy may also exist globally under certain conditions.
Key words: KleinGordon equation, high initial energy, global existence, stable set, concavity method
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LIU Yang, XU Yan, DA Chaojiu. Global Existence of Solutions for Damped Klein-GordonEquations with High Initial Energy[J].Journal of Jilin University Science Edition, 2016, 54(03): 457-460.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2016/V54/I03/457
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