4 citations · 4 across the 7 of their papers we have counts for
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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.
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…
Lasry-Lions approximations for discounted Hamilton-Jacobi equations
Cui Chen, Wei Cheng, Qi Zhang
We study the Lasry-Lions approximation using the kernel determined by the fundamental solution with respect to a time-dependent Tonelli Lagrangian. This approximation process is al…
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…