Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations, Transactions of the American Mathematical Society, vol.366, issue.4, 2012. ,
DOI : 10.1090/S0002-9947-2013-05961-2
URL : https://hal.archives-ouvertes.fr/inria-00632308
Integral Representations of Functions and Imbedding Theorems, 1979. ,
Second-Order Analysis for Control Constrained Optimal Control Problems of Semilinear Elliptic Systems, Applied Mathematics and Optimization, vol.38, issue.3, pp.38-41, 1998. ,
DOI : 10.1007/s002459900093
URL : https://hal.archives-ouvertes.fr/inria-00073680
MAXIMUM PRINCIPLES IN THE OPTIMAL CONTROL OF SEMILINEAR ELLIPTIC SYSTEMS, 5th IFAC Conference on Distributed Parameter Systems, pp.33-34, 1989. ,
DOI : 10.1016/B978-0-08-037036-1.50076-8
Un principe de Pontryagine pour le contr??le des syst??mes semilin??aires elliptiques, Journal of Differential Equations, vol.90, issue.2, pp.288-303, 1991. ,
DOI : 10.1016/0022-0396(91)90149-4
Second-order analysis of optimal control problems with control and initial-final state constraints, Journal of Convex Analysis, vol.17, issue.3, pp.885-913, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00335869
Characterization of a local quadratic growth of the hamiltonian for control constrained optimal control problems. Dynamics of Continuous, Discrete and Impulsive Systems, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00577604
Optimal Control Problems with Partially Polyhedric Constraints, SIAM Journal on Control and Optimization, vol.37, issue.6, pp.1726-1741, 1999. ,
DOI : 10.1137/S0363012998333724
URL : https://hal.archives-ouvertes.fr/inria-00073340
Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints, SIAM Journal on Optimization, vol.19, issue.2, pp.19-21, 2008. ,
DOI : 10.1137/07068240X
Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations, Applied Mathematics and Optimization, vol.39, issue.2, pp.211-228, 1999. ,
DOI : 10.1007/s002459900104
Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory, SIAM Journal on Optimization, vol.13, issue.2, pp.406-431, 2002. ,
DOI : 10.1137/S1052623400367698
First-and secondorder optimality conditions for a class of optimal control problems with quasilinear elliptic equations, SIAM J. Control Optim, pp.48-50, 2009. ,
Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem, Zeitschrift f??r Analysis und ihre Anwendungen, vol.15, issue.3, pp.687-707, 1996. ,
DOI : 10.4171/ZAA/723
Elliptic partial differential equations of second order, 1983. ,
Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems, SIAM Journal on Control and Optimization, vol.31, issue.4, pp.1007-1025, 1993. ,
DOI : 10.1137/0331045
Optimal Control Theory for Infinite Dimensional Systems, Birkhuser. Systems and Control: Foundations and Applications, 1994. ,
DOI : 10.1007/978-1-4612-4260-4
Calculus of Variations and Optimal Control, AMS. Systems and Control: Foundations and Applications, 1998. ,
Mathematical theory of optimal processes, 1964. ,
The maximum principle in optimal control problems for an elliptic equation (in Russian), Zeitschrift f??r Analysis und ihre Anwendungen, vol.5, issue.4, pp.291-306, 1986. ,
DOI : 10.4171/ZAA/200
Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints. Discrete and Continuous Dynamical Systems, pp.431-450, 2000. ,
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints, SIAM Journal on Control and Optimization, vol.42, issue.1, pp.138-154, 2003. ,
DOI : 10.1137/S0363012902403262