Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method)

M. N. Demchenko

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arXiv · 1609.05049

Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method)

M. N. Demchenko

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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.

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M. N. Demchenko. 2016-09-16. Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method). https://arxiv.org/abs/1609.05049

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