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20042024
most citedMean Field Games with state constraints: from mild to pointwise solutions of the PDE system

40 citations · 50 across the 15 of their papers we have counts for

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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…

math.DS2016

Generalized characteristics and Lax-Oleinik operators: global theory

Piermarco Cannarsa, Wei Cheng

For autonomous Tonelli systems on , we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexi…