Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method)
Analysis of PDEs
2016-09-19 v1
Abstract
An ill-posed Cauchy problem for the wave equation is considered: the solution is to be determined by the Cauchy data on some part of the time-space boundary. By means of Fourier method we obtain a regularization algorithm for this problem, which is given by rather explicit formula.
Cite
@article{arxiv.1609.05049,
title = {Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method)},
author = {M. N. Demchenko},
journal= {arXiv preprint arXiv:1609.05049},
year = {2016}
}