0536375 20240103224952.620201217235959.9 85089825891 000562713400002 10.21136/CMJ.2020.0144-19 23 s. P cav_un_epca*02564820011-4642711 (2021)21-43Springer reaction-diffusion equation random attractor spatially homogeneous noise cav_un_auth*0370372 Slavík Jakub UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2020/SI/slavik-0536375.pdf https://link.springer.com/article/10.21136/CMJ.2020.0144-19 We study the asymptotic behaviour of solutions of a reaction-diffusion equation in the whole space Rd driven by a spatially homogeneous Wiener process with finite spectral measure. The existence of a random attractor is established for initial data in suitable weighted L2-space in any dimension, which complements the result from P. W. Bates, K. Lu, and B. Wang (2013). Asymptotic compactness is obtained using elements of the method of short trajectories. WOS BB 10000 10100 10103 2022 1 4 A sml 4as 20231122145406.9 RVO:67985556 http://hdl.handle.net/11104/0314165 S Exclusive licence agreement 20190918 Article Mathematics C MATHEMATICS 0.413 0.078 26.3 0.00105 0.263 1270 35 0.263 15.51 0.35 89 Q3 0.312 77 Q4 2.6 Q4 Q4 0.36 Q4 2.553 2021 Soubory v repozitáři: slavik-0536375-license-10163-signed.pdf 85089825891 SCOPUS PUBMED 000562713400002 WOS cav_un_epca*0256482 Czechoslovak Mathematical Journal 0011-4642 1572-9141 Roč. 71 č. 1 2021 21 43 Springer