133 citations · 479 across the 74 of their papers we have counts for
5 papers · 1 filter
Homoclinic orbits and critical points of barrier functions
Piermarco Cannarsa, Wei Cheng
We interpret the close link between the critical points of Mather's barrier functions and minimal homoclinic orbits with respect to the Aubry sets on . We also prove…
Global Propagation of Singularities for Time Dependent Hamilton-Jacobi Equations
Piermarco Cannarsa, Marco Mazzola, Carlo Sinestrari
We investigate the properties of the set of singularities of semiconcave solutions of Hamilton-Jacobi equations of the form \begin{equation*} u_t(t,x)+H(\nabla u(t,x))=0, \qquad\te…
Second-order sensitivity relations and regularity of the value function for Mayer's problem in optimal control
Piermarco Cannarsa, Hélène Frankowska, Teresa Scarinci
This paper investigates the value function, , of a Mayer optimal control problem with the state equation given by a differential inclusion. First, we obtain an invariance proper…
Quantitative compactness estimates for Hamilton-Jacobi equations
Fabio Ancona, Piermarco Cannarsa, Khai T. Nguyen
We study quantitative compactness estimates in for the map , that associates to every given initial data the correspo…
Sensitivity relations for the Mayer problem with differential inclusions
Piermarco Cannarsa, Helene Frankowska, Teresa Scarinci
In optimal control,sensitivity relations are usually understood as inclusions that identify the pair formed by the dual arc and the Hamiltonian, evaluated along the associated mini…