Wave equation with a stochastic measure

DOI10.1090/tpms/1005zbMath1371.60105OpenAlexW2745509779MaRDI QIDQ5351658

I. M. Bodnarchuk

Publication date: 30 August 2017

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1005

zbMATH Keywords

Besov spacemild solutionstochastic wave equationHölder conditionstochastic measure

Mathematics Subject Classification ID

Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57)

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Wave equation with a coloured stable noise ⋮ Averaging principle for the wave equation driven by a stochastic measure ⋮ The wave equation in the three-dimensional space driven by a general stochastic measure ⋮ Averaging principle for a stochastic cable equation ⋮ Wave equation with a stable noise ⋮ Approximation of solutions of the wave equation driven by a stochastic measure ⋮ The equation for vibrations of a fixed string driven by a general 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

• Heat equation with general stochastic measure colored in time
• The stochastic wave equation with fractional noise: a random field approach
• Integral equations with respect to a general stochastic measure
• Heat equation in a multidimensional domain with a general stochastic measure
• Mild solution of the heat equation with a general stochastic measure
• Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three
• Evolution Equations Driven by General Stochastic Measures in Hilbert Space
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