Qualitative Behavior of Solutions of a Randomly Perturbed Reaction-Diffusion Equation
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H. Crauel and F. Flandoli, “Attractors for random dynamical systems,” Probab. Theory Related Fields, 100, 365–393 (1994).
H. Crauel, “Global random attractors are uniquely determined by attracting deterministic compact sets,” Ann. Mat. Pura Appl., 126, No.4, 57–72 (1999).
K. R. Schenk-Hoppe, “Random attractors—general properties, existence and applications to stochastic bifurcation theory,” Discr. Contin. Dynam. Syst., 4, No.1, 99–130 (1998).
T. Caraballo, J. A. Langa, and J. Valero, “Global attractors for multivalued random dynamical systems,” Nonlin. Analysis, 48, 805–829 (2002).
I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], Nauka, Moscow (1977).
A. V. Babin and M. I. Vishik, Attractors of Evolution Equations [in Russian], Nauka, Moscow (1989).
A. V. Kapustyan, “Global attractors of a nonautonomous reaction-diffusion equation,” Differents. Uravn., 38, No.10, 1378–1382 (2002).
J.-P. Aubin and H. Frankowska, Set-Valued Analysis, Birkhauser, Boston (1990)