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

Lorenzi, Luca

Geodesic

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

ℝ^{N}

Lorenzi, Luca ¹

¹ Dipartimento di Matematica Università di Parma Parco Area delle Scienze 53/A 43100 Parma, Italy

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

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Résumé

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

MR Zbl

Classification : 35K65, 35B65, 47D06

Affiliations des auteurs :

Lorenzi, Luca ¹

¹ Dipartimento di Matematica Università di Parma Parco Area delle Scienze 53/A 43100 Parma, Italy

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     author = {Lorenzi, Luca},
     title = {Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in $\mathbb {R}^N$},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {255--293},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 4},
     number = {2},
     year = {2005},
     mrnumber = {2163557},
     zbl = {1107.35071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2005_5_4_2_255_0/}
}

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Lorenzi, Luca. Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in $\mathbb {R}^N$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 2, pp. 255-293. http://geodesic.mathdoc.fr/item/ASNSP_2005_5_4_2_255_0/