Existence and regularity of random attractors for stochastic evolution equations driven by rough noise

2024/01/25 by Alexandra Neamţu, Neamtu, Alexandra, Tim Seitz +1
Computer Science · Economics, Econometrics and Finance · Engineering · #37H05 #37L55 #60G22 #60L20 #60L50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR) #Stability and Controllability of Differential Equations #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2401.14235

openalex publication_date 2024/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work establishes the existence and regularity of random pullback attractors for parabolic partial differential equations with rough nonlinear multiplicative noise under natural assumptions on the coefficients. To this aim, we combine tools from rough path theory and random dynamical systems.~An application is given by partial differential equations with rough boundary noise, for which flow transformations are not available.

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