The attractor for a nonlinear reaction‐diffusion system in an unbounded domain

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Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, background): “Furthermore, all the constants in such estimates only depend on the weight exponent and Cφ (and on some regularity constants of the boundary) and are independent of the concrete choice of φ and the shape of Ω , see [75,165,237,242], and the references therein.”
Attractors of reaction‐diffusion systems in unbounded domains and their spatial complexity (2003, methodology): “The proof of this proposition can be found in [16, 41].”
Attractors for nonautonomous 2D Navier–Stokes equations with less regular normal forces☆ (2006, background): “, [6,10,29]), especially to those systems without unique solvability.”
Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains (2004, background): “With these assumptions it turns out that the system is dissipative and that the size ofthe attractor is controlled by g. In particular, if g = 0 then the attractor is just the trivial equilibrium, see [11, 22 ,51].”
Attractors for reaction-diffusion equations in R N with continuous nonlinearity (2005, background): “The existence of attractors for reaction–diffusion equations on unbounded domains has been studied by many authors before (see [1,5,17,19,20,33,37,39,46,48]).”