A nonlinear semigroup approach to Hamilton-Jacobi equations--revisited

Panrui Ni, Lin Wang

We consider the Hamilton-Jacobi equation \[{H}(x,Du)+λ(x)u=c,\quad x\in M, \] where $M$ is a connected, closed and smooth Riemannian manifold. The functions $H(x,p)$ and $\lambda (x)$ a…