A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation

05/06/2021
by   Pierre Marechal, et al.
0

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.

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