一类非线性阻尼Petrovsky方程整体解的能量衰减估计
Energy Decay Estimate of Global Solution for a Class of Nonlinear Damping Petrovsky Equations
DOI: 10.12677/PM.2015.51003, PDF, HTML, XML, 下载: 2,544  浏览: 6,329  科研立项经费支持
作者: 陈 振, 王 瑞：河南农业大学信息与管理科学学院，郑州；钞雅丽：河南省体育运动学校，郑州
关键词: 阻尼波方程；初边值问题；整体解；能量衰减估计；Damping Wave Equation； Initial-Boundary Equation； Global Solution； Energy Decay Estimate
摘要: 本文主要研究非线性阻尼Petrovsky方程ua+Δ2u+a(1+|ut|r)ut=b|u|pu在有界区域的初边值问题。利用V. Komornik引理得到整体解的能量衰减估计。
Abstract: The nonlinear damping Petrovsky equation ua+Δ2u+a(1+|ut|r)ut=b|u|pu with initial-boundary conditions on bounded region is studied. The V. Komornik lemma here plays a crucial role in the energy decay estimate of global solution.
文章引用：陈振, 王瑞, 钞雅丽. 一类非线性阻尼Petrovsky方程整体解的能量衰减估计[J]. 理论数学, 2015, 5(1): 14-20. http://dx.doi.org/10.12677/PM.2015.51003

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