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(2001)
Second Order PDEs in Finite and Infinite Dimension
M. Fuhrman, G. Tessitore (2002)
The Bismut-Elworthy formula for backward SDE's and applications to nonlinear Kolmogorov equations and control in infinite dimensional spacesStochastics and Stochastic Reports, 74
L. Lorenzi (2007)
On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in ℝ N
L Lorenzi, A Lunardi (2006)
Elliptic operators with unbounded diffusion coefficientsJ. Evol. Equ., 6
A. Lunardi (1998)
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$Studia Mathematica, 128
É. Pardoux, S. Peng (1992)
Backward stochastic differential equations and quasilinear parabolic partial differential equations
S Cerrai (2001)
Second Order PDEs in Finite and Infinite Dimension. Lecture Notes in Mathematics
F. Delarue (2003)
Estimates of the Solutions of a System of Quasi-linear PDEs. A Probabilistic Scheme
L. Angiuli, L. Lorenzi (2010)
Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficientsarXiv: Analysis of PDEs
M Bertoldi, L Lorenzi (2007)
Analytical Methods for Markov Semigroups. Pure and Applied Mathematics
A Lunardi (1995)
Analytic Semigroups and Optimal Regularity in Parabolic Problems. Progress in Nonlinear Differential Equations and their Applications
M. Bertoldi, L. Lorenzi (2005)
Estimates of the derivatives for parabolic operators with unbounded coefficientsTransactions of the American Mathematical Society, 357
(1996)
Regularity results for some degenerate parabolic equations
G. Metafune, D. Pallara, M. Wacker (2002)
Feller semigroups on RNSemigroup Forum, 65
M. Bertoldi, S. Fornaro (2004)
Gradient estimates in parabolic problems with unbounded coefficientsStudia Mathematica, 165
(2007)
AnalyticalMethods forMarkov Semigroups
M. Bertoldi, S. Fornaro, L. Lorenzi (2007)
Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains, 19
S. Peng (1991)
Probabilistic interpretation for systems of quasilinear parabolic partial differential equationsStochastics and Stochastics Reports, 37
S. Fornaro, F. Gregorio, A. Rhandi (2016)
Elliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in $L^p$-spacesarXiv: Analysis of PDEs
G. Metafune, E. Priola (2004)
Some classes of non-analytic Markov semigroupsJournal of Mathematical Analysis and Applications, 294
L. Lorenzi (2012)
Nonautonomous Kolmogorov equations in the whole space: a survey on recent resultsarXiv: Analysis of PDEs
M. Fuhrman, G. Tessitore (2002)
Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal controlAnnals of Probability, 30
(2015)
Set Nalued Analysis
A. Lunardi (2003)
Analytic Semigroups and Optimal Regularity in Parabolic Problems
M. Bertoldi, S. Fornaro, L. Lorenzi (2007)
Pointwise gradient estimates in exterior domainsArchiv der Mathematik, 88
We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear backward parabolic Cauchy problem, where the differential equation is the Hamilton–Jacobi–Bellman equation of a suitable optimal control problem. Via backward stochastic differential equations, we show that the mild solution is indeed the value function of the controlled equation and that the feedback law is verified.
Applied Mathematics and Optimization – Springer Journals
Published: Sep 19, 2014
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