Work

Existence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noise

Year: 2024

Type: article

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.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-024-10393-4

Authors: Alexandra Blessing Neamţu, Tim Seitz

Institution: University of Konstanz

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Deutsche Forschungsgemeinschaft, Universität Konstanz