On structure of the value function

On connections between generalized solutions of PDEs of the first order

“…In this paper we extend the results of [5] to n-dimensional case. We assume that the Hamiltonian depends on the linear combination of impulse variables and is convex with respect to them.…”

“…In that book a link between the Hamilton-Jacobi PDE and quasilinear equation was mentioned. The strong result is presented in [5].…”