133 citations · 479 across the 74 of their papers we have counts for
Showing 2014 · math.APShow all
3 papers · 2 filters
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.AP2014★ 12 cited
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…