4 papers
Local strict singular characteristics II: existence for stationary equation on
Wei Cheng, Jiahui Hong
The notion of strict singular characteristics is important in the wellposedness issue of singular dynamics on the cut locus of the viscosity solutions. We provide an intuitive and…
Global propagation of singularities for discounted Hamilton-Jacobi equations
Cui Chen, Jiahui Hong, Kai Zhao
The main purpose of this paper is to study the global propagation of singularities of viscosity solution to discounted Hamilton-Jacobi equation \begin{equation}\label{eq:discount 1…
Local strict singular characteristics: Cauchy problem with smooth initial data
Wei Cheng, Jiahui Hong
Main purpose of this paper is to study the local propagation of singularities of viscosity solution to contact type evolutionary Hamilton-Jacobi equation $$ D_tu(t,x)+H(t,x,D_xu(t,…
Representation formulas for contact type Hamilton-Jacobi equations
Jiahui Hong, Wei Cheng, Shengqing Hu +1
We discuss various kinds of representation formulas for the viscosity solutions of the contact type Hamilton-Jacobi equations by using the Herglotz' variational principle.