Elsa M. Marchini
Polytechnic University of Milan
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Publication
Featured researches published by Elsa M. Marchini.
Transactions of the American Mathematical Society | 2009
Piermarco Cannarsa; Hélène Frankowska; Elsa M. Marchini
In this paper we investigate the existence and Lipschitz continuity of optimal trajectories for the autonomous Bolza problem in control theory. The main feature of our results is that they relax the usual fast growth condition for the Lagrangian. Furthermore, we show that optimal solutions do satisfy the maximum principle.
Transactions of the American Mathematical Society | 2013
Monica Conti; Elsa M. Marchini; Vittorino Pata
We consider the integrodifferential equation ∂tu−Δu− ∫ ∞ 0 κ(s)Δu(t− s) ds+ φ(u) = f arising in the Coleman-Gurtin theory of heat conduction with hereditary memory. Within a novel abstract framework, based on the notion of minimal state, we prove the existence of global and exponential attractors of optimal regularity and finite fractal dimension for the related semigroup of solutions.
Discrete and Continuous Dynamical Systems | 2010
Monica Conti; Elsa M. Marchini; Vittorino Pata
Nonlinear Analysis-theory Methods & Applications | 2014
Monica Conti; Elsa M. Marchini; Vittorino Pata
Mathematical Methods in The Applied Sciences | 2015
Monica Conti; Elsa M. Marchini; Vittorino Pata
Communications on Pure and Applied Analysis | 2016
Monica Conti; Elsa M. Marchini; Vittorino Pata
Mathematical Control and Related Fields | 2016
Hélène Frankowska; Elsa M. Marchini; Marco Mazzola
Applied Mathematics and Optimization | 2016
Monica Conti; Elsa M. Marchini
Discrete and Continuous Dynamical Systems-series B | 2013
Monica Conti; Elsa M. Marchini; Vittorino Pata
ESAIM: Control, Optimisation and Calculus of Variations | 2018
Hélène Frankowska; Elsa M. Marchini; Marco Mazzola
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