4 papers
Global estimates for degenerate Ornstein-Uhlenbeck operators
M. Bramanti, G. Cupini, E. Lanconelli +1
We consider a class of degenerate Ornstein-Uhlenbeck operators in , of the kind \[ \mathcal{A}\equiv\sum_{i,j=1}^{p_{0}}a_{ij}\partial_{x_{i}x_{j}}^{2} +\sum_{i,j=1…
Elliptic and parabolic second-order PDEs with growing coefficients
N. V. Krylov, E. Priola
We consider a second-order parabolic equation in $\bR^{d+1}$ with possibly unbounded lower order coefficients. All coefficients are assumed to be only measurable in the time variab…
Global Schauder estimates for a class of degenerate Kolmogorov equations
Enrico Priola
We consider a class of possibly degenerate second order elliptic operators on . This class includes hypoelliptic Ornstein-Uhlenbeck type operators having an addition…
Norm discontinuity and spectral properties of Ornstein-Uhlenbeck semigroups
Jan van Neerven, Enrico Priola
Let be a real Banach space. We study the Ornstein-Uhlenbeck semigroup associated with the Ornstein-Uhlenbeck operator $$ Lf(x) = \frac12 {\rm Tr} Q D^2 f(x) + <Ax, Df(x)…