Attractors for stochastic reaction-diffusion equation with additive homogeneous noise.

Autor:	Slavík, Jakub
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles reaction-diffusion equation random attractor spatially homogeneous noise
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: 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 $L^2$-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.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Plný text Full text from SpringerLink