一类非线性高阶波动方程的初值问题局部解的存在性

The existence of the local solution for the cauchy problem of a class of nonlinear wave equations of higher order

讨论了一类非线性高阶波动方程初值问题,利用Fourier变换和压缩映射原理证明了局部广义解和局部古典解的存在唯一性.

The Cauchy problem of a class of nonlinear wave equations of higher order was discussed. The existence and uniqueness of the local generalized solution and the local classical solution are proved by the Fourier transform and the contractive principle.