一类广义非线性的Sine-Gordon型方程弱解的存在及唯一性  

The Existence and Uniqueness of Weak Solutions for a Generalized Nonlinear Sine-Gordon Equation

作　　者：王银珠[1] 郭利军[1] 

机构地区：[1]太原科技大学应用科学学院数学系,太原030024

出　　处：《太原科技大学学报》2008年第1期46-50,共5页Journal of Taiyuan University of Science and Technology

摘　　要：应用Faedo-Galerkin方法,研究了一类广义非线性的Sine-Gordon型方程初边值的问题,证明了该方程在相应的初边界条件下局部弱解的存在性,解对初值的连续依赖性及唯一性。In this paper, we studied a class of nonlinear generalized Sine-Gordon equations. By using Galerkin method, we proved the existence of local weak solutions for the initial boundary value problems , and the constant dependence of solution on the initial value and uniqueness.

关 键 词：Sine-Gordon型方程 非线性 GALERKIN方法 局部弱解 

分 类 号：O175.27[理学—数学]