Polynomial Decay and Blow Up of Solutions for Variable Coefficients Viscoelastic Wave Equation with Acoustic Boundary Conditions

作     者：Yamna BOUKHATEM Benyattou BENABDERRAHMANE 

作者机构：Laboratory of Computer Sciences and MathematicsFaculty of SciencesUniversity of LaghouatP.O.BOX 37GLaghouat(03000)Algeria Faculty of Mathematics and Computer SciencesUniversity of M'SilaAlgeria 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2016年第32卷第2期

页      面：153-174页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Acoustic boundary conditions blow up polynomial decay variable coefficients viscoelas-tic wave equation 

摘      要：A variable coefficient viscoelastic wave equation with acoustic boundary conditions and nonlinear source term is considered. Under suitable conditions on the initial data and the relaxation function g, we show the polynomial decay of the energy solution and the blow up of solutions by energy methods. The estimates for the lifespan of solutions are also given.