2 papers
math.DS2017
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…
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…