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math.DS2018
On and beyond propagation of singularities of viscosity solutions
Piermarco Cannarsa, Wei Cheng
This is a survey paper for the recent results on and beyond propagation of singularities of viscosity solutions. We also collect some open problems in this topic.
math.DS2018
Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
Piermarco Cannarsa, Qinbo Chen, Wei Cheng
For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristics semiflows associated with certain Hamilton-Jacobi equations, a…