The stochastic wave equations driven by fractional and colored noises

DOI10.1007/s10114-010-8469-9zbMath1202.60104OpenAlexW2030580448MaRDI QIDQ606273

Dan Tang, Yong Jin Wang

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8469-9

zbMATH Keywords

stochastic wave equationsfractional spatial colored noiseprocess-valued solution

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise ⋮ Uniqueness and explosion time of solutions of stochastic differential equations driven by fractional Brownian motion ⋮ An inverse source problem for the stochastic wave equation

Cites Work

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• The Cauchy Problem for the Wave Equation with Distribution Data: an Elementary Approach
• THE STOCHASTIC WAVE EQUATION DRIVEN BY FRACTIONAL BROWNIAN NOISE AND TEMPORALLY CORRELATED SMOOTH NOISE

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