Temporal asymptotics for fractional parabolic Anderson model

DOI10.1214/18-EJP139zbMath1390.60101arXiv1604.03493MaRDI QIDQ1748917

Jian Song, Yaozhong Hu, Xia Chen, Xiao-Ming Song

Publication date: 15 May 2018

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03493

zbMATH Keywords

Gaussian noiseLyapunov exponent\(\alpha\)-stable processFeynman-Kac representationfractional parabolic Anderson model

Mathematics Subject Classification ID

Gaussian processes (60G15) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stable stochastic processes (60G52)

Related Items (8)

Moment intermittency in the PAM with asymptotically singular noise ⋮ Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics ⋮ Fractional stochastic wave equation driven by a Gaussian noise rough in space ⋮ Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise ⋮ Sharp space-time regularity of the solution to stochastic heat equation driven by fractional-colored noise ⋮ SPDEs with colored Gaussian noise: a survey ⋮ Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\) ⋮ Second order Lyapunov exponents for parabolic and hyperbolic Anderson models

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