Khai T. Nguyen

On the Structure of the Minimum Time Function

A minimum time problem with a nonlinear smooth dynamics and a target satisfying an internal sphere condition is considered. Under the assumption that the minimum time

Singular gradient flow of the distance function and homotopy equivalence

T

Exterior Sphere Condition and Time Optimal Control for Differential Inclusions

be continuous and the normal cone to the hypograph of

Global Existence of Weak Solutions for the Burgers--Hilbert Equation

T

Quantitative Compactness Estimates for Hamilton–Jacobi Equations

,

On compactness estimates for hyperbolic systems of conservation laws

N_{hypo(T)}

A Stochastic Model of Optimal Debt Management and Bankruptcy

, be pointed, we show that

BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions

hypo(T)

Hypographs satisfying an external sphere condition and the regularity of the minimum time function

is

Conservation law models for traffic flow on a network of roads

\varphi