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

Lorenzi, Luca

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 2, pp. 255-293.

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 ${\left\{T\left(t\right)\right\}}_{t\ge 0}$ associated with the realization of the operator $𝒜$ in the space of all the bounded and continuous functions in ${ℝ}^N$

Classification : 35K65, 35B65, 47D06

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