Decay and eventual local positivity for biharmonic parabolic equations

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Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian (2015, background): “Moreover, also the biharmonic heat operator in Rn does not preserve positivity and exhibits only eventual local positivity, see [14, 17] where also nonlinear problems are considered.”
Eventually positive semigroups of linear operators (2015, background): “The question as to whether the corresponding parabolic problem becomes “essentially” positive for large t > 0 was investigated in [15, 17].”
Eventually and asymptotically positive semigroups on Banach lattices (2015, background): “The phenomenon of eventually positive solutions of Cauchy problems was also observed at around the same time in an infinite-dimensional setting in the context of biharmonic equations; see [26] and [28].”