Regularization of the Cauchy problem for the Helmholtz equation by using Meyer wavelet

摘要

In this paper, we investigate a Cauchy problem associated with Helmholtz-type equation in an infinite “strip”. This is a classical severely ill-posed problem, i.e., the solution (if it exists) does not depend continuously on the data (or Cauchy data), a small perturbation in the data can cause a dramatically large error in the solution for 0