Attractors of Parabolic Equations Without Uniqueness

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Global attractors for a class of degenerate diffusion equations (2003, background): “Even in this case, we may be able to show only the existence of global attractors, which is especially defined for multivalued semiflow (see Valero [16]).”
Autonomous and non-autonomous attractors for differential equations with delays (2005, unknown): “[2], [13], [14], [27], [28], [36], [42]).”
On the connectedness and asymptotic behaviour of solutions of reaction–diffusion systems☆ (2006, background): “In the last years several results concerning attractors in the case of equations without uniqueness have been obtained for differential inclusions [20,24,25], parabolic problems [8,34], phase-field equations [16,18], wave equations [3,10], the three-dimensional Navier–Stokes equation [2,4,5,10,28,30”
Attractors for reaction-diffusion equations in R N with continuous nonlinearity (2005, background): “Several results concerning the existence of global attractors in the case of nonuniqueness have been proved for differential inclusions (see [25,31,32]), reaction–diffusion equations (see [15,17,23]), parabolic problems (see [13,45]), phase-field equations (see [22,24]), wave equations (see [7,16]),”
On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions (2000, background): “In [ 26 ], the results of [22] were extended to a class of differential inclusions generated by a difference of subdifferential maps.”