The spectrum of the transport operator with a potential term under the spatial periodicity condition

Minoru Tabata; Nobuoki Eshima

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Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain

Minoru Tabata, Nobuoki Eshima (2000)

Rendiconti del Seminario Matematico della Università di Padova

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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

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