弹性动力学方程解的带权范数衰减估计

Decay Estimate for the Weighted Norm of Solution to the Elasto-dynamics

根据弹性动力学方程组扰动的有限传播性质,利用Sobolev型不等式和椭圆估计相结合的方法,文章得到了拟线性弹性动力学方程组初值问题解带权范数的衰减估计,改进了以前作者的类似结果。

According to the limited propagation of the elasto-dynamic system with initial disturbances, with the use of the sobolev-type inequalities and the elliptic estimates methods, a decay estimate for the weighted norm of the solution to the quasi-linear elasto-dynamic system with initial dates is established, the previously similar results is improved.