一类n+1维偏微分方程Cauchy问题

Cauchy Problem for A Class of n+1 Dimensional of Linear Partial Differential Equation

文章提出了一类n+1维偏微分方程Cauchy问题,首先利用无穷级数的绝对收敛性证明了解的存在性,然后利用文章的方法导出了解的先验模估计,最后利用先验模估计证明了解的唯一性和连续依赖性.

This paper puts forward a class of n＋1 dimension-s of linear partial differential equation and Cauchy problem.First,by making use of the absolute convergence of infinite series,the existence of solution are testified.Then,we derive the prior estimates of the problem.Last,the paper testifies the uniqueness and continuous dependence of the solution.