6 papers
Continuous time approximation of Nash equilibria
Romeo Awi, Ryan Hynd, Henok Mawi
We consider the problem of approximating Nash equilibria of functions of variables. In particular, we deduce conditions under which systems of the form $$…
Optimal control for the infinity obstacle problem
H. Mawi, C. B. Ndiaye
In this note, we show that a natural optimal control problem for the -obstacle problem admits an optimal control which is also an optimal state. Moreover, we show the conve…
On the Numerical Solution of the Near Field Refractor Problem
Cristian E. Gutiérrez, Henok Mawi
A numerical scheme is presented to solve the one source near field refractor problem to arbitrary precision and it is proved that the scheme terminates in a finite number of iterat…
Refractors in anisotropic media associated with norms
Cristian E. Gutierrez, Qingbo Huang, Henok Mawi
We show existence of interfaces between two anisotropic materials so that light is refracted in accordance with a given pattern of energy. To do this we formulate a vector Snell la…
On the Numerical Solution of the Far Field Refractor Problem
Roberto De Leo, Cristian E. Gutiérrez, Henok Mawi
The far field refractor problem with a discrete target is solved with a numerical scheme that uses and simplify ideas from Caffarelli, Kochengin and Oliker. A numerical implementat…
On Hamilton-Jacobi-Bellman equations with convex gradient constraints
Ryan Hynd, Henok Mawi
We study PDE of the form where is uniformly elliptic and convex in its first argument, is convex, is a given function and is the u…