阻尼RLW方程的周期强解

The Periodic Strong Solution for the Damped RLW Equation

文中用Galerkin方法和先验估计证明了带有阻尼项的RLW方程周期边界问题周期强解的存在唯一性,并在较弱的光滑性条件下,得到了强解的光滑性。

In this paper we prove the existence and uniqueness of the periodic strong solution of the periodic problem for the damped RLW equation. Moreover, under some weak smoothing conditions,we obtain the smoothness of the periodic strong solution.