Stochastic wave equation in a plane driven by spatial stable noise

DOI10.15559/16-VMSTA62zbMath1352.60092arXiv1611.05999MaRDI QIDQ343048

Larysa Pryhara, Georgiy M. Shevchenko

Publication date: 21 November 2016

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

Full work available at URL: https://arxiv.org/abs/1611.05999

zbMATH Keywords

Hölder continuitygeneralized solutionstochastic wave equationLePage seriesstable random measure

Mathematics Subject Classification ID

Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57) PDEs with randomness, stochastic partial differential equations (35R60) Stable stochastic processes (60G52)

Related Items (8)

Wave equation with a coloured stable noise ⋮ Averaging principle for a stochastic cable equation ⋮ The domain of definition of the Lévy white noise ⋮ Wave equation with a stable noise ⋮ Approximation of solutions of the wave equation driven by a stochastic measure ⋮ Wave equation in the plane driven by a general stochastic measure ⋮ Wave equation for a homogeneous string with fixed ends driven by a stable random noise ⋮ Approximation of solutions of the stochastic wave equation by using the Fourier series

Cites Work

• Unnamed Item
• The stochastic wave equation with fractional noise: a random field approach
• Hölder continuity of sample paths of some self-similar stable processes
• École d'été de probabilités de Saint-Flour XIV-1984
• The stochastic wave equation in two spatial dimensions
• On a stochastic wave equation in two space dimensions: Regularity of the solution and its density
• The 1-d stochastic wave equation driven by a fractional Brownian sheet
• Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three

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