Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains

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Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains (2008, methodology): “This approach was developed in [30] for deterministic parabolic equations and used in [1, 2, 4, 19, 22, 24, 27, 28].”
Attractors for reaction-diffusion equations in R N with continuous nonlinearity (2005, background): “Different phase spaces have been considered in the previous papers: weighted spaces [5], Lq spaces [1,19,39,46], Sobolev spaces [1,37,48] and spaces of bounded functions [33].”
Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, background): “This machinery has been successfully applied to many physically relevant PDEs in unbounded domains, including various types of reaction–diffusion equations (see [9,75,76, 165], and [237]), damped wave equations (see [87] and [235]), elliptic equations in unbounded domains (see [166] and [224]), and ”
Random Attractors for the Stochastic Benjamin-Bona-Mahony Equation on Unbounded Domains (2008, methodology): “The tail-estimates approach was developed in [41] for deterministic PDEs and used in [1, 2, 4, 30, 33, 35, 38, 39].”
Random attractors for stochastic reaction–diffusion equations on unbounded domains (2009, unknown): “, [1,2,4,24,25,27,30,31].”