| 一类非线性阻尼Petrovsky方程的整体解的存在性 |
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| 作者单位： | ;1.河南农业大学信息与管理科学学院;2.洛阳理工学院 |
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| 摘 要： | 主要研究非线性阻尼Petrovsky方程utt+Δ2 u+a(1+|ut|r)ut=b|u|pu在有界区域的初边值问题.应用势井理论,通过定义位势井的深度和稳定集,利用稳定集的不变性及有界性原理证明了此问题整体解的存在性.
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| 关 键 词： | Petrovsky方程 稳定集 整体解 |
Existence of Global Solution for a Class of Nonlinear Damping Petrovsky Equation |
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| Institution: | ,Department of Information and Management Science,Henan Agricultural University,Luoyang Institute of Science and Technology |
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| Abstract: | The initial boundary value problem on a nonlinear damping Petrovsky equation utt+Δ2 u+a(1+|ut|r)ut=b|u|pu with bounded region is studied.With potential well theory,and applying the invariance of the stable set and boundedness principle,this article proved the existence of global solution of the Petrovsky equation through defining the depth of potential well and the stable set. |
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| Keywords: | Petrovsky equation stable set global solution |
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