@article{capuani_dutta_nguyen_2021, title={Metric Entropy for Functions of Bounded Total Generalized Variation}, volume={53}, DOI={10.1137/20m1310953}, number={1}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Capuani, Rossana and Dutta, Prerona and Nguyen, Khai T.}, year={2021}, month={Jan}, pages={1168–1190} } @article{metric entropy for functions of bounded total generalized variation_2021, journal={SIAM J. Math. Anal.}, year={2021}, month={May} } @article{ancona_nguyen_2021, title={ON THE GLOBAL CONTROLLABILITY OF SCALAR CONSERVATION LAWS WITH BOUNDARY AND SOURCE CONTROLS}, DOI={10.1137/20M1369221}, journal={SIAM JOURNAL ON CONTROL AND OPTIMIZATION}, author={Ancona, Fabio and Nguyen, Khai T.}, year={2021} } @article{gilmore_nguyen_2021, title={SBV regularity for Burgers-Poisson equation}, volume={500}, ISBN={1096-0813}, DOI={10.1016/j.jmaa.2021.125095}, number={1}, journal={JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, author={Gilmore, Steven and Nguyen, Khai T.}, year={2021} } @article{markovian solutions to discontinuous odes_2020, year={2020}, month={Sep} } @article{metric entropy for hamilton-jacobi equation with uniformly directionally convex hamiltonian_2020, year={2020}, month={Dec} } @article{on the global controllability of scalar conservation laws with boundary and source controls_2020, year={2020}, month={Sep} } @article{sbv regularity for burgers-poisson equation_2020, year={2020}, month={Dec} } @article{a model of debt with bankruptcy risk and currency devaluation_2019, year={2019}, month={Oct} } @article{bressan_mazzola_nguyen_2019, title={Approximation of Sweeping Processes and Controllability for a Set-Valued Evolution}, volume={57}, DOI={10.1137/18m1189610}, number={4}, journal={SIAM Journal on Control and Optimization}, author={Bressan, A. and Mazzola, M. and Nguyen, K.T.}, year={2019}, month={Jan}, pages={2487–2514} } @book{mazzola_nguyen_2019, title={Lyapunov’s Theorem via Baire Category}, volume={32}, DOI={10.1007/978-3-030-17949-6_10}, journal={Springer INdAM Series}, author={Mazzola, M. and Nguyen, K.T.}, year={2019}, pages={181–194} } @article{ancona_glass_nguyen_2019, title={On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity}, volume={51}, DOI={10.1137/18m1198090}, number={4}, journal={SIAM Journal on Mathematical Analysis}, author={Ancona, F. and Glass, O. and Nguyen, K.T.}, year={2019}, month={Jan}, pages={3020–3051} } @article{a debt management problem with currency devaluation_2018, year={2018}, month={May} } @article{dutta_nguyen_2018, title={Covering numbers for bounded variation functions}, volume={468}, ISSN={0022-247X}, url={http://dx.doi.org/10.1016/j.jmaa.2018.08.062}, DOI={10.1016/j.jmaa.2018.08.062}, number={2}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Dutta, Prerona and Nguyen, Khai T.}, year={2018}, month={Dec}, pages={1131–1143} } @article{bressan_nguyen_2018, title={Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games}, volume={8}, DOI={10.1007/s13235-016-0206-2}, number={1}, journal={Dynamic Games and Applications}, author={Bressan, A. and Nguyen, K.T.}, year={2018}, pages={42–78} } @article{bressan_marigonda_nguyen_palladino_2017, title={A stochastic model of optimal debt management and bankruptcy}, volume={8}, DOI={10.1137/16m1095019}, number={1}, journal={SIAM Journal on Financial Mathematics}, author={Bressan, A. and Marigonda, A. and Nguyen, K.T. and Palladino, M.}, year={2017}, pages={841–873} } @article{cavagnari_marigonda_nguyen_priuli_2017, title={Generalized Control Systems in the Space of Probability Measures}, volume={26}, ISSN={1877-0533 1877-0541}, url={http://dx.doi.org/10.1007/s11228-017-0414-y}, DOI={10.1007/s11228-017-0414-y}, number={3}, journal={Set-Valued and Variational Analysis}, publisher={Springer Nature}, author={Cavagnari, Giulia and Marigonda, Antonio and Nguyen, Khai T. and Priuli, Fabio S.}, year={2017}, month={May}, pages={663–691} } @article{bressan_nguyen_2016, title={An equilibrium model of debt and bankruptcy}, volume={22}, ISSN={1292-8119 1262-3377}, url={http://dx.doi.org/10.1051/cocv/2016030}, DOI={10.1051/cocv/2016030}, number={4}, journal={ESAIM: Control, Optimisation and Calculus of Variations}, publisher={EDP Sciences}, author={Bressan, Alberto and Nguyen, Khai T.}, year={2016}, month={Sep}, pages={953–982} } @article{nguyen_grunert_2016, title={Global existence of weak solutions for Burgers-Poisson equation}, volume={23}, number={4}, journal={Journal of Differential Equations}, author={Nguyen, Tien Khai and Grunert, K.}, year={2016}, pages={23–46} } @article{grunert_nguyen_2016, title={On the Burgers–Poisson equation}, volume={261}, ISSN={0022-0396}, url={http://dx.doi.org/10.1016/J.JDE.2016.05.028}, DOI={10.1016/j.jde.2016.05.028}, number={6}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Grunert, K. and Nguyen, Khai T.}, year={2016}, month={Sep}, pages={3220–3246} } @article{bressan_mazzola_nguyen_2016, title={The bang–bang theorem via Baire category: a dual approach}, volume={23}, ISSN={1021-9722 1420-9004}, url={http://dx.doi.org/10.1007/s00030-016-0400-3}, DOI={10.1007/s00030-016-0400-3}, number={4}, journal={Nonlinear Differential Equations and Applications NoDEA}, publisher={Springer Nature}, author={Bressan, Alberto and Mazzola, Marco and Nguyen, Khai T.}, year={2016}, month={Jul} } @article{nguyen_ancona_cannarsa_2016, title={The compactness estimates for Hamilton Jacobi Equations depending on space}, volume={11}, journal={Bulletin of the Institute of Mathematics, Academia Sinica}, author={Nguyen, Tien Khai and Ancona, F. and Cannarsa, P.}, year={2016}, pages={63–113} } @article{compactness estimates for hamilton-jacobi equations depending on space_2015, year={2015}, month={Apr} } @article{bressan_nguyen_2015, title={Conservation law models for traffic flow on a network of roads}, volume={10}, ISSN={1556-1801}, url={http://dx.doi.org/10.3934/nhm.2015.10.255}, DOI={10.3934/nhm.2015.10.255}, number={2}, journal={Networks and Heterogeneous Media}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Bressan, Alberto and Nguyen, Khai T.}, year={2015}, month={Apr}, pages={255–293} } @article{nguyen_ancona_glass_2015, title={On compactness estimates for general nonlinear system hyperbolic systems}, volume={32}, number={6}, journal={Annales de l'Institut Henri Poincaré, Analyse non Linéaire}, author={Nguyen, Tien Khai and Ancona, F. and Glass, O.}, year={2015}, pages={1229–1257} } @article{ancona_glass_nguyen_2015, title={On compactness estimates for hyperbolic systems of conservation laws}, volume={32}, ISSN={0294-1449}, url={http://dx.doi.org/10.1016/J.ANIHPC.2014.09.002}, DOI={10.1016/j.anihpc.2014.09.002}, number={6}, journal={Annales de l'Institut Henri Poincare (C) Non Linear Analysis}, publisher={Elsevier BV}, author={Ancona, Fabio and Glass, Olivier and Nguyen, Khai T.}, year={2015}, month={Nov}, pages={1229–1257} } @article{bressan_nguyen_2015, title={Optima and equilibria for traffic flow on networks with backward propagating queues}, volume={10}, ISSN={1556-1801}, url={http://dx.doi.org/10.3934/nhm.2015.10.717}, DOI={10.3934/nhm.2015.10.717}, number={4}, journal={Networks and Heterogeneous Media}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Bressan, Alberto and Nguyen, Khai T.}, year={2015}, month={Oct}, pages={717–748} } @article{cannarsa_marigonda_nguyen_2015, title={Optimality conditions and regularity results for time optimal control problems with differential inclusions}, volume={427}, ISSN={0022-247X}, url={http://dx.doi.org/10.1016/j.jmaa.2015.02.027}, DOI={10.1016/j.jmaa.2015.02.027}, number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Cannarsa, Piermarco and Marigonda, Antonio and Nguyen, Khai T.}, year={2015}, month={Jul}, pages={202–228} } @article{ancona_cannarsa_nguyen_2015, title={Quantitative Compactness Estimates for Hamilton–Jacobi Equations}, volume={219}, ISSN={0003-9527 1432-0673}, url={http://dx.doi.org/10.1007/s00205-015-0907-5}, DOI={10.1007/s00205-015-0907-5}, number={2}, journal={Archive for Rational Mechanics and Analysis}, publisher={Springer Science and Business Media LLC}, author={Ancona, Fabio and Cannarsa, Piermarco and Nguyen, Khai T.}, year={2015}, month={Jul}, pages={793–828} } @inbook{marigonda_nguyen_vittone_2014, place={Berlin Heidelberg}, series={Lecture Notes in Computer Science}, title={BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions}, volume={8353 LNCS}, ISBN={9783662438794 9783662438800}, ISSN={0302-9743 1611-3349}, url={http://dx.doi.org/10.1007/978-3-662-43880-0_12}, DOI={10.1007/978-3-662-43880-0_12}, booktitle={Large-Scale Scientific Computing}, publisher={Springer}, author={Marigonda, Antonio and Nguyen, Khai T. and Vittone, Davide}, editor={Lirkov, I. and Margenov, S. and Waśniewski, J.Editors}, year={2014}, pages={116–124}, collection={Lecture Notes in Computer Science} } @article{bressan_nguyen_2014, title={Global Existence of Weak Solutions for the Burgers--Hilbert Equation}, volume={46}, ISSN={0036-1410 1095-7154}, url={http://dx.doi.org/10.1137/140957536}, DOI={10.1137/140957536}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Bressan, Alberto and Nguyen, Khai T.}, year={2014}, month={Jan}, pages={2884–2904} } @inproceedings{on quantitative compactness estimates for hyperbolic conservation laws_2014, booktitle={Hyperbolic problems: theory, numerics, applications, 249–257, AIMS Ser. Appl. Math., 8, Am. Inst. Math. Sci. (AIMS), Springfield, MO,}, year={2014} } @article{colombo_nguyen_nguyen_2013, title={Non-Lipschitz points and the SBV regularity of the minimum time function}, volume={51}, ISSN={0944-2669 1432-0835}, url={http://dx.doi.org/10.1007/s00526-013-0682-9}, DOI={10.1007/s00526-013-0682-9}, number={1-2}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Colombo, Giovanni and Nguyen, Khai T. and Nguyen, Luong V.}, year={2013}, month={Nov}, pages={439–463} } @article{colombo_nguyen_2013, title={On the minimum time function around the origin}, volume={3}, ISSN={2156-8472}, url={http://dx.doi.org/10.3934/mcrf.2013.3.51}, DOI={10.3934/mcrf.2013.3.51}, number={1}, journal={Mathematical Control and Related Fields}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Colombo, Giovanni and Nguyen, Khai T.}, year={2013}, month={Feb}, pages={51–82} } @article{marigonda_nguyen_vittone_2013, title={Some regularity results for a class of upper semicontinuous functions}, volume={62}, ISSN={0022-2518}, url={http://dx.doi.org/10.1512/iumj.2013.62.4896}, DOI={10.1512/iumj.2013.62.4896}, number={1}, journal={Indiana University Mathematics Journal}, publisher={Indiana University Mathematics Journal}, author={Marigonda, Antonio and Nguyen, Khai Tien and Vittone, Davide}, year={2013}, pages={45–89} } @article{ancona_glass_nguyen_2012, title={Lower compactness estimates for scalar balance laws}, volume={65}, ISSN={0010-3640}, url={http://dx.doi.org/10.1002/cpa.21406}, DOI={10.1002/cpa.21406}, number={9}, journal={Communications on Pure and Applied Mathematics}, publisher={Wiley}, author={Ancona, Fabio and Glass, Olivier and Nguyen, Khai T.}, year={2012}, month={May}, pages={1303–1329} } @article{nguyen_vittone_2012, title={Rectifiability of special singularities of non-lipschitz functions}, volume={19}, number={1}, journal={Journal of Convex Analysis}, author={Nguyen, Tien Khai and Vittone, D.}, year={2012}, pages={159–170} } @article{albano_cannarsa_nguyen_sinestrari_2012, title={Singular gradient flow of the distance function and homotopy equivalence}, volume={356}, ISSN={0025-5831 1432-1807}, url={http://dx.doi.org/10.1007/s00208-012-0835-8}, DOI={10.1007/s00208-012-0835-8}, number={1}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Albano, P. and Cannarsa, P. and Nguyen, Khai T. and Sinestrari, C.}, year={2012}, month={Jul}, pages={23–43} } @article{cannarsa_nguyen_2011, title={Exterior Sphere Condition and Time Optimal Control for Differential Inclusions}, volume={49}, ISSN={0363-0129 1095-7138}, url={http://dx.doi.org/10.1137/110825078}, DOI={10.1137/110825078}, number={6}, journal={SIAM Journal on Control and Optimization}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Cannarsa, Piermarco and Nguyen, Khai T.}, year={2011}, month={Jan}, pages={2558–2576} } @article{nguyen_2010, title={Hypographs satisfying an external sphere condition and the regularity of the minimum time function}, volume={372}, ISSN={0022-247X}, url={http://dx.doi.org/10.1016/j.jmaa.2010.07.010}, DOI={10.1016/j.jmaa.2010.07.010}, number={2}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Nguyen, Khai T.}, year={2010}, month={Dec}, pages={611–628} } @article{colombo_nguyen_2010, title={On the Structure of the Minimum Time Function}, volume={48}, ISSN={0363-0129 1095-7138}, url={http://dx.doi.org/10.1137/090774549}, DOI={10.1137/090774549}, number={7}, journal={SIAM Journal on Control and Optimization}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Colombo, Giovanni and Nguyen, Khai T.}, year={2010}, month={Jan}, pages={4776–4814} } @article{colombo_nguyen_2009, title={Quantitative isoperimetric inequalities for a class of nonconvex sets}, volume={37}, ISSN={0944-2669 1432-0835}, url={http://dx.doi.org/10.1007/s00526-009-0256-z}, DOI={10.1007/s00526-009-0256-z}, number={1-2}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Colombo, Giovanni and Nguyen, Khai T.}, year={2009}, month={Jun}, pages={141–166} } @article{critical points of non-c2 functionals_2007, journal={Topological Methods in Nonlinear Analysis}, year={2007} } @article{nguyen_duong_tran_2007, title={Critical points of non-C2 functional}, volume={29}, number={1}, journal={Topological Methods of Nonlinear Analysis}, author={Nguyen, Tien Khai and Duong, D.M. and Tran, H.V.}, year={2007}, pages={35–68} } @article{nguyen_duong_tran_2007, title={Morse-Palais Lemma for nonsmooth functionals on normed spaces}, volume={135}, number={3}, journal={Proceedings of the American Mathematical Society}, author={Nguyen, Tien Khai and Duong, D.M. and Tran, H.V.}, year={2007}, pages={921–927} } @article{duc_hung_khai_2007, title={Morse-palais lemma for nonsmooth functionals on normed spaces}, volume={135}, DOI={10.1090/S0002-9939-06-08662-X}, number={3}, journal={Proceedings of the American Mathematical Society}, author={Duc, D.M. and Hung, T.V. and Khai, N.T.}, year={2007}, pages={921–927} }