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

DOI10.15559/18-VMSTA115zbMath1433.60062arXiv1902.01195MaRDI QIDQ2326516

Nelia Stefans'ka, Vadym M. Radchenko

Publication date: 8 October 2019

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01195

zbMATH Keywords

mild solutionstochastic wave equationstochastic measureFejèr sumsstochastic Fourier series

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57)

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Cites Work

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• Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case
• Stochastic wave equation in a plane driven by spatial stable noise
• Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm
• On the Wiener integral with respect to a sub-fractional Brownian motion on an interval
• Sample Functions of Stochastic Measures and Besov Spaces
• Fourier Series Expansion of Stochastic Measures
• Evolution Equations Driven by General Stochastic Measures in Hilbert Space
• Wave equation with a stochastic measure
• Fourier transform of general stochastic measures
• Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem
• Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion

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