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• W2588000747 abstract "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<x≤1. The stability of the solution is restored by using a wavelet regularization method. Moreover, some sharp stable estimates between the exact solution and its approximation in Hr(R)-norm is also provided and the numerical examples show that the method works effectively." @default.
• W2588000747 created "2017-02-24" @default.
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• W2588000747 date "2017-08-01" @default.
• W2588000747 modified "2023-10-18" @default.
• W2588000747 title "Regularization of the Cauchy problem for the Helmholtz equation by using Meyer wavelet" @default.
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• W2588000747 doi "https://doi.org/10.1016/j.cam.2017.02.005" @default.
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