耦合非线性双曲型方程组的有限维逼近解

Finite dimension approximating solution for coupling nonlinear system of hyperbolic equation

以 Laplace算子在 Dirichlet条件下的特征值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解 。

The finite dimension approximating solution for initial boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.Therefore,the uniform convergence of approximating solution is proved.