标题:
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
作者:
陈振, 王瑞, 钞雅丽
关键字:
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
期刊名称:
《Pure Mathematics》, Vol.5 No.1, 2015-01-09
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。
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.