Synthetic study of nonlinear evolution equation and its related topics

各种类型的非线性偏微分方程本文从非线性发展方程理论的观点出发，综合运用非线性泛函分析理论、真实的变量的函数理论、非线性发展方程理论、非线性发展方程理论、非线性常微分方程理论和变分法。

Various types of nonlinear PDEs (nonlinear elliptic equations, nonlinear diffusion equations, nonlinear wave equations, nonlinear Schrodinger equations) arising in physics and engineering were synthetically studied from the viewpoint of the theory of nonlinear evolution equations by using the techniques from the theory of nonlinear functional analysis, the theory of functions of a real variable, the theory of ordinary differential equations and the calculus of variations.