113 citations · 311 across the 24 of their papers we have counts for
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math.AP2013★ 13 cited
On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations
Andrea Davini, Maxime Zavidovique
We prove that the multi-time Hamilton-Jacobi equation in general cannot be solved in the viscosity sense, in the non-convex setting, even when the Hamiltonians are in involution.
math.DS2013★ 8 cited
Tonelli Hamiltonians without conjugate points and integrability
Marc Arcostanzo, Marie-Claude Arnaud, Philippe Bolle +1
We prove that all the Tonelli Hamiltonians defined on the cotangent bundle $T^*\T^n$ of the -dimensional torus that have no conjugate points are integrable, i.e. $T^*\T^n$…