作　　者： ; ;

机构地区： 华中理工大学数学系

出　　处： 《数学物理学报（A辑）》 2000年第3期342-350,共9页

摘　　要： 该文研究强阻尼波动方程的初边值问题．利用线性主算子在相空间中生成的解析半群的性质，证明了解的光滑效应，这个现象与弱阻尼波动方程的情形大不相同．由此作者得到了吸引子的正则性，并象自伴情形那样构造了近似惯性流形． In this paper the authors consider the initial boundary value problem of the strongly damped wave equation. By using the analytic property of the semigroup generated by the principal operator of the equation in the phase space,they show the smoothing effect of the solution, which is much different from the case of weakly dissipative wave equations. Thus they obtain the regularity of the global attractor,and construct inertial manifolds of the equation,just as usually done in the selfadjoint cases.

关 键 词： 强阻尼波动方程 正则性 整体吸引子 逼近

领　　域： [理学] [理学]