Reaction-Diffusion Equations with Polynomial Drifts Driven by Fractional Brownian Motions

DOI10.1080/07362994.2010.515483zbMath1205.60125OpenAlexW2061582927MaRDI QIDQ3068101

Shiva Zamani

Publication date: 13 January 2011

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

Full work available at URL: https://doi.org/10.1080/07362994.2010.515483

zbMATH Keywords

fractional Brownian motionreaction-diffusion equationpolynomial drift

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Self-similar stochastic processes (60G18)

Cites Work

• Young integrals and SPDEs
• Evolution equations driven by a fractional Brownian motion
• Stochastic evolution equations with fractional Brownian motion
• Stopped Doob inequality forp-th moment, 0 <p<∞, stochastic convolution integrals
• The Existence, Uniqueness, and Measurability of a Stopped Semilinear Integral Equation
• Stability of Stochastic Delay Evolution Equations with Monotone Nonlinearity
• Ergodicity for Infinite Dimensional Systems
• Random Motion of Strings and Related Stochastic Evolution Equations with Monotone Nonlinearities