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Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in ℝ N

Luca Lorenzi — 2005

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in ℝ N . Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup { T ( t ) } t ≥ 0 associated with the realization of the operator 𝒜 in the space of all the bounded and continuous functions in ℝ N

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