Gerhard Huisken, Tubingen University and Mathematische Forshingsinstitut Oberwolfach HEAT DIFFUSION IN GEOMETRY Lunedì 29 Settembre 2014, ore 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
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Yakov Eliashberg, Stanford University CROSSROADS OF SYMPLECTIC RIGIDITY AND FLEXIBILITY Giovedì 18 Settembre 2014, ore 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
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Giuseppe Savare, Università di Pavia DIFFUSIONE, TRASPORTO OTTIMO E CURVATURA Martedì 27 Maggio 2014, ore 11:00 Dipartimento di Matematica, Politecnico di Milano |
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Claire Voisin , Ecole Polytechnique, Palaiseau BIRATIONAL INVARIANTS AND APPLICATIONS TO RATIONALITY PROBLEMS Martedì 13 Maggio 2014, ore 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
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Helene Frankowska, Université Pierre et Marie Curie (Paris 6) Second order necessary optimality condistions in optimal control Martedì 15 Aprile 2014, ore 11:00 precise Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9 - Sala Consiglio 7° piano |
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Abstract
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Optimal control theory is an active area of research in both mathematics and engineering sciences. Still, many mathematically challenging problems related to second order optimality conditions remain open, mostly because the structural properties of control systems do not fit well the framework of contemporary optimization literature. In this talk I will discuss second-order necessary optimality conditions in deterministic optimal control from the point of view of second order variational analysis. The new approach introduces second order jets of set valued maps and second order approximations of differential equations and, more generally, control systems and differential inclusions. Then a second order variational differential inclusion leads to a second order Fermat like rule of optimality. In particular, it allows to obtain a new pointwise second order condition verified by the adjoint state of the maximum principle and opens new questions to be investigated. |
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Vincenzo Vespri, Università di Firenze Pointwise estimates for nonnegative solutions to a class of degenerate/singular parabolic equations Venerdì 28 Marzo 2014, ore 15:00 precise Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9 - Aula Consiglio VII piano |
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