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

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.