关于一类齐次三维波动方程柯西问题的求解新方法

The Handy Method to Solve the Cauchy's Problem of the Homogeneous Wave Equations of Three Dimensions

本文提出了一类齐次三维波动方程柯西问题求解的新方法,该方法比一般的求解方法更简便。并且在■的条件下,给出了齐次三维方程柯西问题的求解公式,并推广到任意有限维。

In this paper,we present a new method to solve the Cauchy's problem of the homogeneous wave equations of three dimensions, which appear comparatively simple and feasible. Under the conditions ψ∈c^4 and ■,we obtain the solution formula of the Cauchy' problem of the homogeneous wave equations of three dimensions. We extend this result into any finite dimensions.