Asymptotic behavior of the solution of the fractional heat equation

DOI10.1016/j.spl.2016.05.004zbMath1346.60098OpenAlexW2402988744MaRDI QIDQ310626

Xichao Sun, Xianye Yu, Litan Yan

Publication date: 8 September 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.05.004

zbMATH Keywords

asymptotic behaviorfractional heat equationfractional Brownian sheet

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Asymptotic behavior of solutions to PDEs (35B40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator-prey model with Allee effect and Holling type-III functional response ⋮ ON A SEMILINEAR DOUBLE FRACTIONAL HEAT EQUATION DRIVEN BY FRACTIONAL BROWNIAN SHEET ⋮ Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative ⋮ Asymptotic behavior for high moments of the fractional heat equation with fractional noise

Cites Work

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• Asymptotic behavior of the solution of heat equation driven by fractional white noise
• Selected aspects of fractional Brownian motion.
• A note on intermittency for the fractional heat equation
• Long time existence for the heat equation with a noise term
• Almost sure exponential behavior of a directed polymer in a fractional Brownian environment
• Large deviations and renormalization for Riesz potentials of stable intersection measures
• Stochastic analysis of the fractional Brownian motion
• On the long time behavior of the stochastic heat equation
• Long-time existence for signed solutions of the heat equation with a noise term
• Stochastic calculus for fractional Brownian motion and related processes.
• Sharp estimation of the almost-sure Lyapunov exponent for the Anderson model in continuous space
• Almost-sure exponential behavior of a stochastic anderson model with continuous space parameter
• An Extension Problem Related to the Fractional Laplacian
• Stochastic Calculus for Fractional Brownian Motion and Applications
• Heat equations with fractional white noise potentials

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