Layered Viscosity Solutions of Nonautonomous Hamilton-Jacobi Equations: Semiconvexity and Relations to Characteristics

Nguyen Hoang, Nguyen Mau Nam

We construct an explicit representation of viscosity solutions of the Cauchy problem for the Hamilton-Jacobi equation $(H,\sigma )$ on a given domain $\Omega =(0,T)\times {\mathbb{R}}^n.$ It is known t…