Intermittency for the hyperbolic Anderson model with rough noise in space

DOI10.1016/j.spa.2016.10.009zbMath1367.60077arXiv1605.00024OpenAlexW2963815156MaRDI QIDQ2359723

Raluca M. Balan, Maria Jolis, Lluís Quer-Sardanyons

Publication date: 22 June 2017

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00024

zbMATH Keywords

fractional Brownian motionMalliavin calculusstochastic partial differential equationsintermittencystochastic wave equationmultiplicative Gaussian noise

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Related Items (10)

Space-time fractional Anderson model driven by Gaussian noise rough in space ⋮ High order Anderson parabolic model driven by rough noise in space ⋮ Moment bounds for some fractional stochastic heat equations on the ball ⋮ Nonlinear stochastic wave equation driven by rough noise ⋮ Moment bounds for a generalized Anderson model with Gaussian noise rough in space ⋮ Moment bounds of a class of stochastic heat equations driven by space-time colored noise in bounded domains ⋮ Fractional stochastic wave equation driven by a Gaussian noise rough in space ⋮ SPDEs with linear multiplicative fractional noise: continuity in law with respect to the Hurst index ⋮ SPDEs with fractional noise in space: continuity in law with respect to the Hurst index ⋮ Second order Lyapunov exponents for parabolic and hyperbolic Anderson models

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