一类非线性双曲方程的整体解

The global solution for a class of nonlinear hyperbolic equations

文章利用Galerkin方法和改进的势井理论,研究了一类非线性双曲型方程初边值问题的整体解,在一定的条件下,得到了这类非线性双曲方程的初边值问题整体解的存在性与唯一性.

Using Galerkin method and modified potential well theory, this paper deals with the global solution of an initial - boundary value problem for a class of nonlinear hyperbolic equations. Under certain assumptions, the existence and uniqueness of the global solution for the hyperbolic equation are established.