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- W4382882504 abstract "This paper is devoted to the existence of random attractors for rough partial differential equations driven by nonlinear multiplicative Hölder rough paths with exponents in (1/3,1/2]. Our approach relies upon rough paths theory and stopping times analysis in a suitable scale of interpolation spaces. The core step is to derive the adequate algebraic and analytical properties of a sequence of stopping times, which allows us to establish the required compact tempered absorbing set. The existence of a pullback attractor for the generated random dynamical system is straightforward. An illustrative example is presented by reaction-diffusion equations subjected to fractional Brownian rough paths." @default.
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- W4382882504 date "2023-10-01" @default.
- W4382882504 modified "2023-10-12" @default.
- W4382882504 title "Random attractors for rough stochastic partial differential equations" @default.
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- W4382882504 doi "https://doi.org/10.1016/j.jde.2023.06.035" @default.
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