316 citations · 345 across the 6 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AP2014★ 12 cited
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…
math.AP2014★ 17 cited
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…
math.OC2014
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…