4 citations · 5 across the 6 of their papers we have counts for
5 papers · 1 filter
On Kolmogorov entropy compactness estimates for scalar conservation laws without uniform convexity
Fabio Ancona, Olivier Glass, Khai T. Nguyen
In the case of scalar conservation laws with uniformly strictly convex flux , quantitative compactness estimates - in…
Covering numbers for bounded variation functions
Prerona Dutta, Khai T. Nguyen
In this paper, we provide upper and lower estimates for the minimal number of functions needed to represent a bounded variation function with an accuracy of epsilon with respect to…
Approximation of Sweeping Processes and Controllability for a Set Valued Evolution
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
We consider a controlled evolution problem for a set , originally motivated by a model where a dog controls a flock of sheep. Necessary conditions and sufficie…
Lyapunov's theorem via Baire category
Marco Mazzola, Khai T. Nguyen
Lyapunov's theorem is a classical result in convex analysis, concerning the convexity of the range of nonatomic measures. Given a family of integrable vector functions on a compact…
A Debt Management Problem with Currency Devaluation
Antonio Marigonda, Khai T. Nguyen
We consider a model of debt management, where a sovereign state trade some bonds to service the debt with a pool of risk-neutral competitive foreign investors. At each time, the go…