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math.AP2016
Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions
Davide Addona
We consider the nonautonomous Ornstein-Uhlenbeck operator in some weighted spaces of continuous functions in . We prove sharp uniform estimates for the spatial derivatives of…
math.AP2016
Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems
Davide Addona, Luciana Angiuli, Luca Lorenzi
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over R^d and in L^p-spaces with respect to…