Bibliography
Journal Article
Attractors for stochastic reaction-diffusion equation with additive homogeneous noise
: Czechoslovak Mathematical Journal vol.71, 1 (2021), p. 21-43
: reaction-diffusion equation, random attractor, spatially homogeneous noise
: http://library.utia.cas.cz/separaty/2020/SI/slavik-0536375.pdf
: https://link.springer.com/article/10.21136/CMJ.2020.0144-19
(eng): 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.
: BB
: 10103