二维RLW方程的Cauchy问题

On Cauchy Problems for the RLW Equation in Two Space Dimensions

通过椭圆积分求出了二维RLW方程椭圆余弦波解 ,并用先验估计方法证明了该方程Cauchy问题关于小x、y周期解的若干性质和解的唯一性。

A cnoidal wave solution of the two dimensional RLW equation of are obtained by elliptic integral method, and the some estimations the uniqueness and the stability of the periodic solution with both x,y to the Cauchy problem are proved by the priori estimations.