Existence and regularity of random attractors for stochastic evolution equations driven by rough noise
Probability
2024-01-26 v1 Analysis of PDEs
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2401.14235,
title = {Existence and regularity of random attractors for stochastic evolution equations driven by rough noise},
author = {Alexandra Neamtu and Tim Seitz},
journal= {arXiv preprint arXiv:2401.14235},
year = {2024}
}
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31 pages