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

Luca Lorenzi[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 (2005)

  • Volume: 4, Issue: 2, page 255-293
  • ISSN: 0391-173X

Abstract

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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

How to cite

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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 4.2 (2005): 255-293. <http://eudml.org/doc/84560>.

@article{Lorenzi2005,
abstract = {We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in $\mathbb \{R\}^N$. Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup $\lbrace T(t)\rbrace _\{t\ge 0\}$ associated with the realization of the operator $\{\mathcal \{A\}\}$ in the space of all the bounded and continuous functions in $\mathbb \{R\}^N$},
affiliation = {Dipartimento di Matematica Università di Parma Parco Area delle Scienze 53/A 43100 Parma, Italy},
author = {Lorenzi, Luca},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {degenerate Ornstein-Uhlenbeck operator; Bernstein method},
language = {eng},
number = {2},
pages = {255-293},
publisher = {Scuola Normale Superiore, Pisa},
title = {Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in $\mathbb \{R\}^N$},
url = {http://eudml.org/doc/84560},
volume = {4},
year = {2005},
}

TY - JOUR
AU - Lorenzi, Luca
TI - Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in $\mathbb {R}^N$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2005
PB - Scuola Normale Superiore, Pisa
VL - 4
IS - 2
SP - 255
EP - 293
AB - We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in $\mathbb {R}^N$. Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup $\lbrace T(t)\rbrace _{t\ge 0}$ associated with the realization of the operator ${\mathcal {A}}$ in the space of all the bounded and continuous functions in $\mathbb {R}^N$
LA - eng
KW - degenerate Ornstein-Uhlenbeck operator; Bernstein method
UR - http://eudml.org/doc/84560
ER -

References

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