Abstract

We prove the existence and uniqueness of a solution of the Darboux problem for the fourth-order Bianchi equation. The Riemann–Hadamard function is determined for the Darboux problem. The solution of the problem is constructed in terms of this function.

中文翻译：

---

四阶Bianchi方程的Darboux问题

摘要

我们证明了四阶Bianchi方程的Darboux问题解的存在性和唯一性。黎曼–哈达玛函数是针对达布克斯问题确定的。根据此功能构造问题的解决方案。