Abstract:
In this paper, we study the minimal time function as a function of two variables (the initial and the
terminal points). This function, called the “bilateral minimal time function”, plays a central role in
the study of the Hamilton-Jacobi equation of minimal control in a domain which contains the target set,
as shown in [11]. We study the regularity of the function, and characterize it as the unique (viscosity)
solution of partial Hamilton-Jacobi equations with certain boundary conditions.
Citation:
Nour, C. (2006). The bilateral minimal time function. Journal of Convex Analysis, 13(1), 61.
