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

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.