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Benaissa, A. and Messaoudi, S.A. (2005) Exponential decay of solutions of a nonlinearly damped wave equation. Nonlinear Diffe-rential Equations and Applications, 12, 391-399.

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• 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.