摘要
本文用Galerkin方法研究了一类三维非线性广义Sine─Gordon型方程,证明了初边值问题整体广义解的存在性与唯一性.
In the paper, the author has studied a class of nonlinear generalized Sine-Gordon equations, by using Galerkin method, proved the existence and uniqueness of global generalized solution to the initial boundary value problems.
出处
《贵州师范大学学报(自然科学版)》
CAS
1995年第4期20-25,共6页
Journal of Guizhou Normal University:Natural Sciences
关键词
能量积分
非线性
加辽金法
广义
S-G型方程
Galerkin method
Sine-Gordon equations
Energy integral
Sobolev imbedding theorems