The Cauchy problem for the inhomogeneous Helmholtz equation with non-uniform refraction index is considered. The ill-posedness of this problem is tackled by means of the variational form of mollification. This approach is proved to be consistent, and the proposed numerical simulations are quite promising.

翻译：考虑的是与非统一折射指数不相容的赫尔姆霍茨等式的棘手问题,这个问题的不正确性是通过软体化的变体形式来解决的。 事实证明,这种方法是一致的,拟议的数字模拟很有希望。