Generalized solutions of HJB equations applied to stochastic control on Hilbert space, Nonlinear Analysis: Theory, Methods & Applications, vol.54, issue.3, pp.495-523, 2003. ,
DOI : 10.1016/S0362-546X(03)00109-3
A note on a Hamilton-Jacobi equation in Hilbert space, Nonlinear Analysis: Theory, Methods & Applications, vol.9, issue.12, 1983. ,
DOI : 10.1016/0362-546X(85)90094-X
Growth and agglomeration in the heterogeneous space: A generalized ak approach. IRES Discussion Paper, pp.2017-2023 ,
URL : https://hal.archives-ouvertes.fr/halshs-01399995
Optimal Control Problems for Stochastic Reaction-Diffusion Systems with Non-Lipschitz Coefficients, SIAM Journal on Control and Optimization, vol.39, issue.6, pp.1779-1816, 2001. ,
DOI : 10.1137/S0363012999356465
Stationary Hamilton--Jacobi Equations in Hilbert Spaces and Applications to a Stochastic Optimal Control Problem, SIAM Journal on Control and Optimization, vol.40, issue.3, pp.824-852, 2001. ,
DOI : 10.1137/S0363012999359949
Functional It?? versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol.312, issue.04, p.1650024, 2016. ,
DOI : 10.1007/978-1-4471-3903-4
URL : http://arxiv.org/abs/1505.02926
Second order partial differential equations in Hilbert spaces, 2002. ,
DOI : 10.1017/CBO9780511543210
Stochastic equations in infinite dimensions, of Encyclopedia of Mathematics and its Applications ,
Optimal control of a stochastic heat equation with boundary-noise and boundary-control, ESAIM: Control, Optimisation and Calculus of Variations, vol.13, issue.1, pp.178-205, 2007. ,
DOI : 10.1051/cocv:2007001
URL : https://hal.archives-ouvertes.fr/hal-00383272
Infinite dimensional stochastic calculus via regularization, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00473947
GENERALIZED COVARIATION AND EXTENDED FUKUSHIMA DECOMPOSITION FOR BANACH SPACE-VALUED PROCESSES: APPLICATIONS TO WINDOWS OF DIRICHLET PROCESSES, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol.37, issue.02, p.2012 ,
DOI : 10.1007/978-1-4471-3903-4
Generalized covariation for Banach space valued processes, Itô formula and applications, Osaka J. Math, vol.51, issue.3, pp.729-783, 2014. ,
Vector integration and stochastic integration in Banach spaces, 2000. ,
DOI : 10.1002/9781118033012
n-covariation, generalized Dirichlet processes and calculus with respect to finite cubic variation processes. Stochastic Process, Appl, vol.104, issue.2, pp.259-299, 2003. ,
DOI : 10.1016/s0304-4149(02)00238-7
URL : http://doi.org/10.1016/s0304-4149(02)00238-7
Geographical structure and convergence: A note on geometry in spatial growth models, Journal of Economic Theory, vol.162, pp.114-136, 2016. ,
DOI : 10.1016/j.jet.2015.12.004
URL : https://hal.archives-ouvertes.fr/hal-01446208
Stochastic Optimal Control in Infinite Dimensions: Dynamic Programming and HJB Equations, volume 82 of Probability Theory and Stochastic Modelling ,
DOI : 10.1007/978-3-319-53067-3
Infinite dimensional weak Dirichlet processes and convolution type processes. Stochastic Process, Appl, vol.127, issue.1, pp.325-357, 2017. ,
DOI : 10.1016/j.spa.2016.06.010
URL : https://hal.archives-ouvertes.fr/hal-01330684
Differential Analysis: differentiation, differential equations, and differential inequalities, 1980. ,
DOI : 10.1017/CBO9780511897191
STOCHASTIC CONTROL AND BSDES WITH QUADRATIC GROWTH, Control Theory and Related Topics, pp.80-86, 2007. ,
DOI : 10.1142/9789812790552_0007
URL : https://hal.archives-ouvertes.fr/hal-00368114
Stochastic Equations with Delay: Optimal Control via BSDEs and Regular Solutions of Hamilton???Jacobi???Bellman Equations, SIAM Journal on Control and Optimization, vol.48, issue.7, pp.4624-4651, 2010. ,
DOI : 10.1137/080730354
URL : http://arxiv.org/abs/0806.1837
Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control, The Annals of Probability, vol.30, issue.3, pp.1397-1465, 2002. ,
DOI : 10.1214/aop/1029867132
Infinite horizon backward stochastic differential equations and elliptic equations in Hilbert spaces, Ann. Probab, vol.32, issue.1B, pp.607-660, 2004. ,
Stochastic differential equations in infinite dimensions with applications to stochastic partial differential equations, 2011. ,
Second order parabolic Hamilton-Jacobi-Bellman equations in Hilbert spaces and stochastic control: L 2 µ approach ,
Regularity of solutions of a second order hamilton-jacobi equation and application to a control problem, Communications in Partial Differential Equations, vol.20, issue.5, pp.5-6775, 1995. ,
DOI : 10.1080/03605309508821115
Global Regular Solutions of Second Order Hamilton???Jacobi Equations in Hilbert Spaces with Locally Lipschitz Nonlinearities, Journal of Mathematical Analysis and Applications, vol.198, issue.2, pp.399-443, 1996. ,
DOI : 10.1006/jmaa.1996.0090
Second order Hamilton-Jacobi equations in Hilbert spaces and stochastic optimal control, Stochastic partial differential equations and applications, pp.255-285, 2002. ,
Regular Solutions of Second-Order Stationary Hamilton???Jacobi Equations, Journal of Differential Equations, vol.130, issue.1, pp.210-234, 1996. ,
DOI : 10.1006/jdeq.1996.0139
URL : https://hal.archives-ouvertes.fr/inria-00074041
Verification theorems for stochastic optimal control problems via a time dependent Fukushima-Dirichlet decomposition. Stochastic Process, Appl, vol.116, issue.11, pp.1530-1562, 2006. ,
DOI : 10.1016/j.spa.2006.04.008
URL : https://hal.archives-ouvertes.fr/hal-00022840
Weak Dirichlet processes with a stochastic control perspective . Stochastic Process, Appl, vol.116, issue.11, pp.1563-1583, 2006. ,
DOI : 10.1016/j.spa.2006.04.009
URL : https://hal.archives-ouvertes.fr/hal-00022839
Stochastic evolution equations, Stochastic differential equations: theory and applications, pp.1-70, 2007. ,
Weak functional Itô calculus and applications, 2014. ,
Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application, Communications in Partial Differential Equations, vol.9, issue.10, pp.1101-1174, 1983. ,
DOI : 10.1002/cpa.3160240206
Optimal control of diffusion processes and hamilton???jacobi???bellman equations part 2 : viscosity solutions and uniqueness, Communications in Partial Differential Equations, vol.25, issue.11, pp.1229-1276, 1983. ,
DOI : 10.1007/3-540-28999-2
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. III. Regularity of the optimal cost function In Nonlinear partial differential equations and their applications Collège de France seminar, Res. Notes in Math, vol.93, pp.95-205, 1981. ,
Stochastic integration, 1980. ,
On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions, Studia Math, vol.136, issue.3, pp.271-295, 1999. ,
Stochastic control and BSDEs, Backward stochastic differential equations, pp.83-99, 2007. ,
Introduction to tensor products of Banach spaces, 2002. ,
DOI : 10.1007/978-1-4471-3903-4
Unbounded " second order partial differential equations in infinitedimensional Hilbert spaces, Comm. Partial Differential Equations, vol.19, pp.11-121999, 1994. ,
Stochastic integration in UMD Banach spaces, The Annals of Probability, vol.35, issue.4, pp.1438-1478, 2007. ,
DOI : 10.1214/009117906000001006
Functional analysis, volume 123 of Grundlehren der Mathematischen Wissenschaften, 1980. ,