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

Risultati di regolarità, stabilità, instabilità e biforcazione per un problema a frontiera libera

Luca Lorenzi — 2001

Bollettino dell'Unione Matematica Italiana

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

Risultati di regolarità, stabilità, instabilità e biforcazione per un problema a frontiera libera

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