本刊英文版Vol.38(2022),No.5论文摘要

Abstracts of Acta Mathematica Sinica, English Series, Nos.5, Vol.38(2022)

Essential Forward Weak K AM Solution for the Convex Hamilton-J acobi Equation Xi Feng SU Jian Lu ZHANG A bstract For a convex,coercive continuous Hamiltonian on a closed Riemannian manifold M,we construct a unique forward weak KAM solution of H(x,dxu)=c(H)by a vanishing discount approach,where c(H)is the Mane critical value.We also discuss the dynamical significance of such a special solution.