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arXiv · 1902.01195

Approximation of solutions of the stochastic wave equation by using the Fourier series

Vadym Radchenko·Nelia Stefans'ka
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Abstract

A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered. It is proved that changing the integrator by the corresponding partial sums or by Fej\`{e}r sums we obtain the approximations of mild solution of the equation.

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BibTeXRIS

Vadym Radchenko, Nelia Stefans'ka. 2019-02-04. Approximation of solutions of the stochastic wave equation by using the Fourier series. https://doi.org/10.15559/18-vmsta115

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