Quasi-convex Hamilton-Jacobi equations posed on junctions: The multi-dimensional case
Quasi-convex Hamilton-Jacobi equations posed on junctions: The multi-dimensional case
A multi-dimensional junction is obtained by identifying the boundaries of a finite number of copies of an Euclidian half-space. The main contribution of this article is the construction of a multidimensional vertex test function G(x, y). First, such a function has to be sufficiently regular to be used as a …