摘要
采用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 provc the existence and uniqueness of the the periodic strorng solution of the periodic problem for the damped RLW equation. Moreover, under the some weak srnoothing conditions,we obtain the smoothness of the periodic strongsolution.
出处
《河北师范大学学报(自然科学版)》
CAS
1995年第1期8-12,共5页
Journal of Hebei Normal University:Natural Science
关键词
阻尼RLW方程
周期强解
光滑性
damped RLW equation
periodic problem
periodic strong solution
smoothness