Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (3): 551-554.
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LIAO Xiangyong, GAO Yanchao
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Abstract: We first used Galerkin approximation and potential well method to prove the global existence of the solution for a class of fourth order hyperbolic equations with superlinear source terms at small initial values, and then we proved the solution blew up at finite time by using Levine convex method when the initial energy was negative.
Key words: superlinear source term, fourth order hyperbolic equation, global solution, blow up
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LIAO Xiangyong, GAO Yanchao. Existence and Blow up Time Estimates of Solution for a Class of Fourth Order Hyperbolic Equations with Superlinear Source Terms[J].Journal of Jilin University Science Edition, 2021, 59(3): 551-554.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2021/V59/I3/551
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