Smooth subsolutions of the discounted Hamilton-Jacobi equations

Xiyao Huang, Liang Jin, Jianlu Zhang +1

For the discounted Hamilton-Jacobi equation,$$\lambda u+H(x,d_{x}u)=0,x\in M,$$we construct $C^{1,1}$ subsolutions which are indeed solutions on the projected Aubry set. The smoothnes…