Random attractors of supercritical wave equations driven by infinite-dimensional additive noise on $ \mathbb{R}^n $

نویسندگان

چکیده

<p style='text-indent:20px;'>In this paper, we prove the existence and uniqueness of tempered pullback random attractors supercritical stochastic wave equations driven by an infinite-dimensional additive white noise on <inline-formula><tex-math id="M2">\begin{document}$ \mathbb{R}^n $\end{document}</tex-math></inline-formula> with id="M3">\begin{document}$ n\le 6 $\end{document}</tex-math></inline-formula>. We first construct a absorbing set in natural energy space, then establish asymptotic compactness solution operator applying idea uniform tail-ends estimates as well Strichartz solutions to circumvent lack Sobolev embeddings unbounded domains.</p>

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B

سال: 2023

ISSN: ['1531-3492', '1553-524X']

DOI: https://doi.org/10.3934/dcdsb.2022093