| Telefono |
011/6702893 enrico.priola@unito.it |
Orario
di
Ricevimento Ubicazione ufficio |
Martedì
dalle 14.30
alle 16.00 (si consiglia appuntamento per email) I piano |
| ANALISI II (2012/13) LT Fisica | ANALISI III (ex AVSF) (2012/13) LT Fisica |
| EQUAZIONI DIFFERENZIALI STOCASTICHE (2012/13) LM Matematica |
| Scientific interests |
| -
Global
regularity for solutions of elliptic and parabolic Kolmogorov
equations in finite and infinite dimensions
(Schauder
estimates, optimal regularity in Dirichlet problems, Liouville
theorems, Lipschitz regularity). - Analytic properties of Markov semigroups (the Cauchy problem in spaces of continuous functions, spectral properties in L_p with respect to invariant measures, sectoriality in spaces of continuous functions). - Controllability of linear systems in infinite dimensions (null controllability, tracking problem for parabolic problems with control on the boundary) - Stochastic differential equations (well-posedness, strong Feller property, irreducibility, stochastic equations driven by Levy noise). |
| List of Publications |
| Tesi
di Dottorato
(Ph.D. Thesis) "Partial
Differential Equations with infinitely many variables",
Universita' di Milano (1999)
|
|
Recent
papers |
|
| "Gradient
estimates for diffusion
semigroups with singular coefficients,",
by E. Priola,
F.-Y. Wang,
Preprint n. 2/2005, Department of Mathematics, University of Turin. "On bounded solutions to convolution equations", by E. Priola, J. Zabczyk Preprint n. 11/2005, Department of Mathematics, University of Turin. "Formulae for derivatives of diffusion semigroups", by E. Priola, Preprint n. 3/2006, Department of Mathematics, University of Turin. ``On Fre'chet differentiability of Lipschitzian functions on spaces with Gaussian measures'' by V. Bogachev, E. Priola and N. A. Tolmachev, Preprint n. 26/2006, Department of Mathematics, University of Turin. ``Global Schauder estimates for a class of degenerate Kolmogorov equations'' by E. Priola, Preprint 2007, Department of Mathematics, University of Turin. ``Densities for Ornstein-Uhlenbeck processes with jumps'' by E. Priola, J. Zabczyk , Preprint 2007, Department of Mathematics, University of Turin. ``Elliptic and parabolic second-order PDEs with growing coefficients'' by N.V. Krylov, E. Priola, Preprint arXiv.org 2008) (http://arxiv.org/abs/0806.3100v1). ``Global $L^{p}$ estimates for degenerate Ornstein-Uhlenbeck operators '' by M. Bramanti, G. Cupini, E. Lanconelli, E. Priola, Preprint arXiv.org 2008 (http://arxiv.org/abs/0807.4020v1). ``Well-posedness of the transport equation by stochastic perturbation '' by F. Flandoli, M. Gubinelli, E. Priola, Preprint arXiv.org 2008/09 (http://arxiv.org/abs/0809.1310v1 and http://arxiv.org/abs/0809.1310v2). ``Structural properties of semilinear SPDEs driven by cylindrical stable processes", by E. Priola, J. Zabczyk, Preprint arXiv.org 2008 (http://arxiv.org/abs/0810.5063v1). ``Flow of diffeomorphisms for SDEs with unbounded H\"older continuous drift", by F. Flandoli, M. Gubinelli, E. Priola, Preprint arXiv.org 2009 (http://arxiv.org/abs/0907.3668v1). ``On linear evolution equations with cylindrical L\'evy noise", by E. Priola, J. Zabczyk, Preprint arXiv.org 2009 (http://arxiv.org/abs/0908.0356v1). ``Uniqueness in Law for Stochastic Boundary Value Problems", by A. Capietto, E. Priola, Preprint arXiv.org 2009 (http://arxiv.org/abs/0910.2886v1). ``Time irregularity of generalized Ornstein-Uhlenbeck processes", by Z. Brze{\'z}niak, B. Goldys, P. Imkeller, S. Peszat, E. Priola, J. Zabczyk, Preprint arXiv.org 2009 (http://arxiv.org/abs/0911.2418v1). ``A Sharp Liouville Theorem for Elliptic Operators", by E. Priola, Feng-Yu Wang, Preprint arXiv.org 2010 (http://arxiv.org/abs/1002.3055v1). ``Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations", by F. Flandoli, M. Gubinelli, E. Priola, Preprint arXiv.org 2010 (http://arxiv.org/abs/1004.1407v1). ``Pathwise uniqueness for singular SDEs driven by stable processes", by E. Priola, Preprint ``Isaac Newton Institute for Mathematical Sciences'' NI10062-SPD (http://www.newton.ac.uk/preprints/NI10062.pdf) . |