2023 article

Generic Properties of First-Order Mean Field Games

Bressan, A., & Nguyen, K. T. T. (2023, January 2). *DYNAMIC GAMES AND APPLICATIONS*, Vol. 1.

Sources: Web Of Science, ORCID

Added: January 17, 2023

2022 article

Shock interactions for the Burgers-Hilbert equation

Bressan, A., Galtung, S. T., Grunert, K., & Nguyen, K. T. (2022, June 24). *COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS*, Vol. 6.

author keywords: Burgers-Hilbert equation; weak solution; piecewise regular solution; shock interaction

Sources: Web Of Science, ORCID

Added: July 5, 2022

2021 journal article

METRIC ENTROPY FOR FUNCTIONS OF BOUNDED TOTAL GENERALIZED VARIATION

*SIAM JOURNAL ON MATHEMATICAL ANALYSIS*, *53*(1), 1168–1190.

author keywords: metric entropy; doubling dimension; total generalized variation

Sources: ORCID, Web Of Science

Added: March 29, 2021

2021 journal article

Metric entropy for functions of bounded total generalized variation

*SIAM J. Math. Anal.*

Source: ORCID

Added: April 22, 2020

2021 journal article

ON THE GLOBAL CONTROLLABILITY OF SCALAR CONSERVATION LAWS WITH BOUNDARY AND SOURCE CONTROLS

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *59*(6), 4314–4338.

author keywords: conservation laws; source control; global exact controllability; return method

Source: Web Of Science

Added: January 10, 2022

2021 journal article

SBV regularity for Burgers-Poisson equation

*JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS*, *500*(1).

author keywords: Burgers-Poisson equation; Entropy weak solution; SBV regularity

Source: Web Of Science

Added: April 19, 2021

2020 article

Markovian Solutions to Discontinuous ODEs

Nguyen, T. K. (2020, September 11).

Source: ORCID

Added: September 24, 2020

2020 article

Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian

Nguyen, T. K. (2020, December 19).

Source: ORCID

Added: December 28, 2020

2020 article

On the global controllability of scalar conservation laws with boundary and source controls

Nguyen, T. K. (2020, September 17).

Source: ORCID

Added: September 24, 2020

2020 article

SBV regularity for Burgers-Poisson equation

Nguyen, T. K. (2020, December 15).

Source: ORCID

Added: December 28, 2020

2019 article

A model of debt with bankruptcy risk and currency devaluation

Nguyen, T. K. (2019, October 1).

Source: ORCID

Added: April 22, 2020

2019 journal article

APPROXIMATION OF SWEEPING PROCESSES AND CONTROLLABILITY FOR A SET-VALUED EVOLUTION

*SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, *57*(4), 2487–2514.

author keywords: sweeping processes; set-valued evolution; controllability

Sources: ORCID, Web Of Science

Added: April 20, 2020

2019 book

Lyapunov’s Theorem via Baire Category

In *Springer INdAM Series* (Vol. 32, pp. 181–194).

Source: ORCID

Added: April 22, 2020

2019 journal article

ON KOLMOGOROV ENTROPY COMPACTNESS ESTIMATES FOR SCALAR CONSERVATION LAWS WITHOUT UNIFORM CONVEXITY

*SIAM JOURNAL ON MATHEMATICAL ANALYSIS*, *51*(4), 3020–3051.

author keywords: Kolmogorov entropy; scalar conservation laws; compactness estimates

Sources: ORCID, Web Of Science

Added: April 20, 2020

2018 article

A Debt Management Problem with Currency Devaluation

Nguyen, T. K. (2018, May 14).

Source: ORCID

Added: April 22, 2020

2018 journal article

Covering numbers for bounded variation functions

*Journal of Mathematical Analysis and Applications*, *468*(2), 1131–1143.

author keywords: The epsilon-entropy; Bounded variation functions

Sources: Crossref, ORCID, Web Of Science

Added: October 16, 2018

2018 journal article

Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games

*DYNAMIC GAMES AND APPLICATIONS*, *8*(1), 42–78.

author keywords: Noncooperative differential games; Nash equilibrium; Infinite horizon

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 journal article

A Stochastic Model of Optimal Debt Management and Bankruptcy

*SIAM JOURNAL ON FINANCIAL MATHEMATICS*, *8*(1), 841–873.

author keywords: debt management and bankruptcy; infinite time horizon; optimal feedback solution

Sources: Web Of Science, ORCID

Added: August 6, 2018

2017 journal article

Generalized Control Systems in the Space of Probability Measures

*Set-Valued and Variational Analysis*, *26*(3), 663–691.

author keywords: Optimal transport; Differential inclusions; Time-optimal control; Set-valued analysis

Sources: ORCID, Crossref

Added: June 30, 2019

2016 journal article

An equilibrium model of debt and bankruptcy

*ESAIM: Control, Optimisation and Calculus of Variations*, *22*(4), 953–982.

author keywords: Optimal control; differential game; optimal debt management; bankruptcy risk

Sources: Crossref, ORCID

Added: June 30, 2019

2016 journal article

Global existence of weak solutions for Burgers-Poisson equation

*Journal of Differential Equations*, *23*(4), 23–46.

Source: NC State University Libraries

Added: June 30, 2019

2016 journal article

On the Burgers–Poisson equation

*Journal of Differential Equations*, *261*(6), 3220–3246.

author keywords: Burgers-Poisson equation; Existence; Uniqueness; Blow-up

Sources: ORCID, Crossref

Added: April 22, 2020

2016 journal article

The bang–bang theorem via Baire category: a dual approach

*Nonlinear Differential Equations and Applications NoDEA*, *23*(4).

Sources: Crossref, ORCID

Added: June 30, 2019

2016 journal article

The compactness estimates for Hamilton Jacobi Equations depending on space

*Bulletin of the Institute of Mathematics, Academia Sinica*, *11*, 63–113.

Source: NC State University Libraries

Added: June 30, 2019

2015 article

Compactness estimates for Hamilton-Jacobi equations depending on space

Nguyen, T. K. (2015, April 13).

Source: ORCID

Added: April 22, 2020

2015 journal article

Conservation law models for traffic flow on a network of roads

*Networks and Heterogeneous Media*, *10*(2), 255–293.

author keywords: Traffic flows; network of roads; scalar conservation laws; Hamilton Jacobi equations; Lax type formula

Sources: Crossref, ORCID

Added: June 30, 2019

2015 journal article

On compactness estimates for general nonlinear system hyperbolic systems

*Annales De l'Institut Henri Poincaré, Analyse Non Linéaire*, *32*(6), 1229–1257.

Source: NC State University Libraries

Added: July 28, 2019

2015 journal article

On compactness estimates for hyperbolic systems of conservation laws

*Annales De l'Institut Henri Poincare (C) Non Linear Analysis*, *32*(6), 1229–1257.

author keywords: Hyperbolic systems of conservation laws; Temple systems; Compactness estimates; Kolmogorov entropy

Sources: ORCID, Crossref

Added: April 22, 2020

2015 journal article

Optima and equilibria for traffic flow on networks with backward propagating queues

*Networks and Heterogeneous Media*, *10*(4), 717–748.

author keywords: Traffic flows; network of roads; scalar conservation laws; global optima; Nash equilibria

Sources: Crossref, ORCID

Added: June 30, 2019

2015 journal article

Optimality conditions and regularity results for time optimal control problems with differential inclusions

*Journal of Mathematical Analysis and Applications*, *427*(1), 202–228.

author keywords: Proximal normal vectors; Differential inclusions; Time optimal control; Semiconcave functions

Sources: Crossref, ORCID

Added: June 30, 2019

2015 journal article

Quantitative Compactness Estimates for Hamilton–Jacobi Equations

*Archive for Rational Mechanics and Analysis*, *219*(2), 793–828.

Sources: ORCID, Crossref

Added: June 30, 2019

2014 chapter

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

In I. Lirkov, S. Margenov, & J. Waśniewski (Eds.), *Large-Scale Scientific Computing*: *Vol.* *8353 LNCS* (pp. 116–124).

Ed(s): I. Lirkov, S. Margenov & J. Waśniewski

Event: 9th International Conference, LSSC 2013 at Sozopol, Bulgaria on June 3-7, 2013

Sources: ORCID, Crossref

Added: April 22, 2020

2014 journal article

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

*SIAM Journal on Mathematical Analysis*, *46*(4), 2884–2904.

author keywords: Burgers-Hilbert equations; weak entropy solutions; global existence

Sources: Crossref, ORCID

Added: June 30, 2019

2014 conference paper

On quantitative compactness estimates for hyperbolic conservation laws

*Hyperbolic problems: theory, numerics, applications, 249–257, AIMS Ser. Appl. Math., 8, Am. Inst. Math. Sci. (AIMS), Springfield, MO,*

Source: ORCID

Added: April 22, 2020

2013 journal article

Non-Lipschitz points and the SBV regularity of the minimum time function

*Calculus of Variations and Partial Differential Equations*, *51*(1-2), 439–463.

Sources: ORCID, Crossref

Added: July 9, 2019

2013 journal article

On the minimum time function around the origin

*Mathematical Control and Related Fields*, *3*(1), 51–82.

author keywords: Reachable sets; exterior sphere condition; maximum principle

Sources: Crossref, ORCID

Added: June 30, 2019

2013 journal article

Some regularity results for a class of upper semicontinuous functions

*Indiana University Mathematics Journal*, *62*(1), 45–89.

author keywords: exterior sphere condition; sets with positive reach; reduced boundary

Sources: Crossref, ORCID

Added: June 30, 2019

2012 journal article

Lower compactness estimates for scalar balance laws

*Communications on Pure and Applied Mathematics*, *65*(9), 1303–1329.

Sources: Crossref, ORCID

Added: June 30, 2019

2012 journal article

Rectifiability of special singularities of non-lipschitz functions

*Journal of Convex Analysis*, *19*(1), 159–170. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856829336&partnerID=MN8TOARS

Sources: NC State University Libraries, ORCID

Added: July 28, 2019

2012 journal article

Singular gradient flow of the distance function and homotopy equivalence

*Mathematische Annalen*, *356*(1), 23–43.

Sources: ORCID, Crossref

Added: June 30, 2019

2011 journal article

Exterior Sphere Condition and Time Optimal Control for Differential Inclusions

*SIAM Journal on Control and Optimization*, *49*(6), 2558–2576.

author keywords: proximal normal vectors; exterior sphere condition; differential inclusions; time optimal control; semiconcave functions

Sources: Crossref, ORCID

Added: June 30, 2019

2010 journal article

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

*Journal of Mathematical Analysis and Applications*, *372*(2), 611–628.

author keywords: Normal vectors; phi-convex (prox-regular, positive reach) sets; Internal/external sphere condition

Sources: Crossref, ORCID

Added: June 30, 2019

2010 journal article

On the Structure of the Minimum Time Function

*SIAM Journal on Control and Optimization*, *48*(7), 4776–4814.

author keywords: normal vectors; phi-convex (prox-regular, positive reach) sets; internal sphere condition; small time controllability; adjoint flow

Sources: Crossref, ORCID

Added: June 30, 2019

2009 journal article

Quantitative isoperimetric inequalities for a class of nonconvex sets

*Calculus of Variations and Partial Differential Equations*, *37*(1-2), 141–166.

author keywords: Sets with positive reach; External sphere condition; Internal cone condition; Isoperimetric deficiency; Spherical deviation; Fraenkel asymmetry

Sources: Crossref, ORCID

Added: June 30, 2019

2007 journal article

CRITICAL POINTS OF NON-C2 FUNCTIONALS

*Topological Methods in Nonlinear Analysis*.

Source: ORCID

Added: April 22, 2020

2007 journal article

Critical points of non-C2 functional

*Topological Methods of Nonlinear Analysis*, *29*(1), 35–68.

Source: NC State University Libraries

Added: July 9, 2019

2007 journal article

Morse-Palais Lemma for nonsmooth functionals on normed spaces

*Proceedings of the American Mathematical Society*, *135*(3), 921–927.

Source: NC State University Libraries

Added: July 28, 2019

2007 journal article

Morse-palais lemma for nonsmooth functionals on normed spaces

*Proceedings of the American Mathematical Society*, *135*(3), 921–927.

author keywords: Morse-Palais lemma; normed spaces; directional differentiability

Source: ORCID

Added: April 22, 2020