Special Session 94: Dynamics and Variational Methods of Quasi-Hamiltonian Systems

On selection problems for second-order Hamilton-Jacobi equations
Qinbo Chen
Nanjing University
Peoples Rep of China
Co-Author(s):    
Abstract:
This talk concerns the simultaneous effects of the discounted approximation and the potential perturbation in second-order degenerate elliptic Hamilton-Jacobi equations. Our analysis relies on generalized (stochastic) Mather measures selected via the nonlinear adjoint method, which enables us to derive a new selection mechanism for second-order Hamilton-Jacobi equations.