Asymptotic behaviour of non-linear parabolic equations with monotone principal part

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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 a class of degenerate parabolic equations with dynamic boundary conditions (2011, background): “1) with Dirichlet or Neumann type of boundary conditions can be found in [1, 6, 7, 8] (see also [3, 5, 9, 37, 46, 52]).”