Global smooth solution for a coupled non-linear wave equations

In this paper, the global existence and uniqueness of smooth solution to the initial-value problem for coupled non-linear wave equations are studied using the method of a priori estimates.     

GLOBAL SOLUTIONS TO THE EVOLUTION EQUATION OF SCHRODINGER TYPE WITH NONLOCAL TERM

The existence of weak and smooth solutions for the nonlocal nonlinear Schrodinger equation is solved by parabolic regularization. In addition, the continuous dependence on the initial data of smooth solution is also discussed.     

带Gilbert耗散项Landau—Lifshitz方程组的有限差 分解

本文对一类带有Gilbert耗散项的Landau-Lifshitz铁磁链方程组第二边值问题建立了隐式有限差分格式.证明了差分解的存在性,并讨论了差分解的收敛性.     

修正的各向异性旋转链方程的整体解

本文研究一类修正的海森堡旋转链方程组整体光滑解的存在性和唯一性.