Online People Directory

[2] A dependence of the cost of fast controls for the heat equation on the support of initial datum

H.-M. Nguyên

2021-02-25.

[3] On the Discreteness of Transmission Eigenvalues for the Maxwell Equations

F. Cakoni; H.-M. Nguyên

Siam Journal on Mathematical Analysis. 2021-02-04. DOI : 10.1137/20M1335121.

[4] Null-controllability of linear hyperbolic systems in one dimensional space

J.-M. Coron; H.-M. Nguyên

Systems & Control Letters. 2021-01-10. DOI : 10.1016/j.sysconle.2020.104851.

2020

[5] Decay for the nonlinear KdV equations at critical lengths

H.-M. Nguyên

ArXiv. 2020-12-17.

[6] Null-controllability, exact controllability, and stabilization of hyperbolic systems for the optimal time

J.-M. Coron; H.-M. Nguyên

2020-12-10. 2020 59th IEEE Conference on Decision and Control (CDC), Jeju Island, Republic of Korea, December 14-18, 2020.

[7] On the small-time local controllability of a KdV system for critical lengths

J.-M. Coron; A. Koenig; H.-M. Nguyên

2020-10-09.

[8] Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

H.-M. Nguyên; J. Van Schaftingen

Advances in Mathematics. 2020-09-16. DOI : 10.1016/j.aim.2020.107246.

[9] The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions

H.-M. Nguyên; Q. H. Nguyen

2020-08-19.

[10] Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems

H.-M. Nguyên; J.-M. Coron

2020-07-07.

[11] Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space

H.-M. Nguyên; J.-M. Coron

ESAIM: Control, Optimisation and Calculus of Variations. 2020. DOI : 10.1051/cocv/2020061.

[12] Cloaking property of a plasmonic structure in doubly complementary media and three-sphere inequalities with partial data

H.-M. Nguyên

2020.

[13] Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients

H.-M. Nguyên; S. Sil

Communications in Mathematical Physics. 2020. DOI : 10.1007/s00220-020-03805-1.

[14] Non-local, non-convex functionals related to Sobolev norms

H. Brezis; H.-M. Nguyên

Nonlinear Analysis. 2020. DOI : 10.1016/j.na.2019.111626.

[15] Gamma--convergence of non-local, non-convex functionals in one dimension

H. Brezis; H.-M. Nguyên

Communications in Contemporary Mathematics. 2020. DOI : 10.1142/S0219199719500779.

[16] Approximate cloaking using transformation optics for acoustic and electromagnetic waves

H.-M. Nguyên; M. Vogelius

Acta Mathematica Vietnamica. 2020.

2019

[17] Approximate cloaking for electromagnetic waves via transformation optics: cloaking vs infinite energy

H.-M. Nguyên; X. L. Tran

Mathematical Models and Methods in Applied Sciences. 2019-04-02. DOI : 10.1142/S0218202519500271.

[18] Approximate Cloaking for The Heat Equation via Transformation Optics

H.-M. Nguyên

Mathematics in Engineering. 2019-03-01. DOI : 10.3934/mine.2019.4.775.

[19] The invisibility via anomalous localized resonance of a source for electromagnetic waves

H.-M. Nguyên

Research in the Mathematical Sciences. 2019. DOI : 10.1007/s40687-019-0194-0.

[20] Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

H.-M. Nguyên; A. Mallick

Pure and Applied Functional Analysis. 2019.

[21] Approximate cloaking for time-dependent Maxwell equations via transformation optics

H.-M. Nguyên; X. L. Tran

Siam Journal on Mathematical Analysis. 2019. DOI : 10.1137/18M1232395.

[22] Optimal time for the null-controllability of linear hyperbolic systems in one dimensional space

J.-M. Coron; H.-M. Nguyên

SIAM Journal on Control and Optimization. 2019. DOI : 10.1137/18M1185600.

[23] Negative index materials: some mathematical perspectives

H.-M. Nguyên

Acta Mathematica Vietnamica. 2019. DOI : 10.1007/s40306-018-0258-z.

[24] On anisotropic Sobolev spaces

H.-M. Nguyên; M. Squassina

Communications in Contemporary Mathematics. 2019. DOI : 10.1142/S0219199718500177.

[25] Cloaking via anomalous localized resonance for doubly complementary media in the finite frequency regime

H.-M. Nguyên

Journal d'Analyse Mathematique. 2019. DOI : 10.1007/s11854-019-0024-8.

[26] Cloaking using complementary media for electromagnetic waves

H.-M. Nguyên

ESAIM: Control, Optimisation and Calculus of Variations. 2019. DOI : 10.1051/cocv/2017078.

2018

[27] Superlensing using complementary media and reflecting complementary media for electromagnetic waves

H.-M. Nguyên

Advances in Nonlinear Analysis. 2018-11-07. DOI : 10.1515/anona-2017-0146.

[28] Electromagnetic wave propagation in media consisting of dispersive metamaterials

H.-M. Nguyên; V. Vinoles

Comptes Rendus Mathematique. 2018. DOI : 10.1016/j.crma.2018.05.012.

[29] Fractional Caffarelli-Kohn-Nirenberg inequalities

H.-M. Nguyên; M. Squassina

Journal of Functional Analysis. 2018. DOI : 10.1016/j.jfa.2017.07.007.

[30] Non-local Functionals Related to the Total Variation and Connections with Image Processing

H. Brezis; H.-M. Nguyên

Annals of PDE. 2018. DOI : 10.1007/s40818-018-0044-1.

[31] New characterizations of magnetic Sobolev spaces

H.-M. Nguyên; A. Pinamonti; M. Squassina; E. Vecchi

Advances in Nonlinear Analysis. 2018. DOI : 10.1515/anona-2017-0239.

2017

[32] A refined estimate for the topological degree

H.-M. Nguyên

Comptes Rendus Mathematique. 2017. DOI : 10.1016/j.crma.2017.10.007.

[33] On Hardy and Caffarelli-Kohn-Nirenberg inequalities

H.-M. Nguyên; M. Squassina

Journal d'Analyse Mathematique. 2017. DOI : 10.1007/s11854-025-0077-9.

[34] Some characterizations of magnetic Sobolev spaces

H.-M. Nguyên; A. Pinamonti; M. Squassina; E. Vecchi

Complex Variables and Elliptic Equations. 2017. DOI : 10.1080/17476933.2018.1520850.

[35] Cloaking an arbitrary object via anomalous localized resonance: the cloak is independent of the object

H.-M. Nguyên

Siam Journal on Mathematical Analysis. 2017. DOI : 10.1137/16M1086017.

[36] Superlensing using hyperbolic metamaterials: the scalar case

E. Bonnetier; H.-M. Nguyên

Journal de l'École Polytechnique. 2017. DOI : 10.5802/jep.61.

[37] Some remarks on rearrangement for nonlocal functionals

H.-M. Nguyên; M. Squassina

Nonlinear Analysis-Theory Methods & Applications. 2017. DOI : 10.1016/j.na.2017.06.007.

[38] Discreteness of interior transmission eigenvalues revisited

H.-M. Nguyên; Q.-H. Nguyen

Calculus of Variations and Partial Differential Equations. 2017. DOI : 10.1007/s00526-017-1143-7.

[39] Logarithmic Sobolev inequality revisited

H.-M. Nguyên; M. Squassina

Comptes Rendus Mathematique. 2017. DOI : 10.1016/j.crma.2017.02.009.

[40] Non-convex, non-local functionals converging to the total variation

H. Brezis; H.-M. Nguyên

Comptes Rendus Mathematique. 2017. DOI : 10.1016/j.crma.2016.11.002.

[41] Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach

H.-M. Nguyên; -M. Coron

Archive for Rational Mechanics and Analysis. 2017. DOI : 10.1007/s00205-017-1119-y.

[42] Negative index materials and their applications: recent mathematics progress

H.-M. Nguyên

Chinese Annals of Mathematics, Series B. 2017. DOI : 10.1007/s11401-017-1086-5.

2016

[43] Cloaking using complementary media in the quasistatic regime

H.-M. Nguyên

Annales de l'Institut Henri Poincare-Analyse Non Lineaire. 2016. DOI : 10.1016/j.anihpc.2015.06.004.

[44] The BBM formula revisited

H. Brezis; H.-M. Nguyên

Atti- Accademia Nazionale dei Lincei Rendiconti Lincei Classe di Scienze Fisiche Matemaiche e Naturali Serie 9 Matematica e Applicazioni. 2016. DOI : 10.4171/Rlm/746.

[45] Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

H.-M. Nguyen; M. S. Vogelius

Journal de Mathematiques Pures et Appliquees. 2016. DOI : 10.1016/j.matpur.2016.03.012.

[46] Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients

H.-M. Nguyên

Journal de Mathematiques Pures et Appliquees. 2016. DOI : 10.1016/j.matpur.2016.02.013.

[47] Two subtle convex nonlocal approximations of the BV-norm

H. Brezis; H.-M. Nguyen

Nonlinear Analysis-Theory Methods & Applications. 2016. DOI : 10.1016/j.na.2016.02.005.

2015

[48] Cloaking using complementary media for the Helmholtz equation and a three spheres inequality for second order elliptic equations

H.-M. Nguyên; H. L. Nguyen

Transactions of the American Mathematical Society, Series B. 2015. DOI : 10.1090/btran/7.

[49] Localized and Complete Resonance in Plasmonic Structures

H.-M. Nguyên; L. H. Nguyen

Esaim-Mathematical Modeling and Numerical Analysis. 2015. DOI : 10.1051/m2an/2014051.

[50] Dissipative Boundary Conditions for Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through an Approach via Time-Delay Systems

J.-M. Coron; H.-M. Nguyên

Siam Journal on Mathematical Analysis. 2015. DOI : 10.1137/140976625.

[51] Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime

H.-M. Nguyên

Journal of the European Mathematical Society. 2015. DOI : 10.4171/Jems/532.

[52] Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

H.-M. Nguyen; L. V. Nguyen

Mathematical Models & Methods In Applied Sciences. 2015. DOI : 10.1142/S0218202515500499.

[53] Asymptotic Behavior of Solutions to the Helmholtz Equations with Sign Changing Coefficients

H.-M. Nguyên

Transactions of the American Mathematical Society. 2015. DOI : 10.1090/S0002-9947-2014-06305-8.

[54] Cloaking via anomalous localized resonance. A connection between the localized resonance and the blow up of the power for doubly complementary media

H.-M. Nguyên

Comptes Rendus Mathematique. 2015. DOI : 10.1016/j.crma.2014.10.014.

[55] Superlensing using complementary media

H.-M. Nguyên

Annales de l'Institut Henri Poincare-Analyse Non Lineaire. 2015. DOI : 10.1016/j.anihpc.2014.01.004.

2014

[56] Recovering a Potential from Cauchy Data via Complex Geometrical Optics Solutions

H.-M. Nguyên; D. Spirn

ArXiv. 2014.

[57] Field enhancement and saturation of milimeter waves inside a metallic nanogap

H.-M. Nguyên; J. Lin; S. H. Oh; F. Reitich

Optics Express. 2014. DOI : 10.1364/OE.22.014402.

[58] Estimates for the topological degree and related topics

H.-M. Nguyên

Journal of Fixed Point Theory and Applications. 2014. DOI : 10.1007/s11784-014-0182-3.

2013

[59] Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law

H.-M. Nguyên; R. V. Kohn

Journal of Nonlinear Sciences. 2013. DOI : 10.1007/s00332-012-9154-1.

[60] Energy scaling laws for conically constrained thin elastic sheets

H.-M. Nguyên; J. Brandman; R. V. Kohn

Journal of Elasticity. 2013. DOI : 10.1007/s10659-012-9420-3.

[61] On a regularized scheme for approximate acoustic cloaking using transformation optics

H.-M. Nguyên

Siam Journal on Mathematical Analysis. 2013. DOI : 10.1137/120902124.

2012

[62] Full range scattering estimates and their application to cloaking

H.-M. Nguyên; -S. Vogelius

Archive for Rational Mechanics and Analysis. 2012. DOI : 10.1007/s00205-011-0459-2.

[63] Approximate Cloaking for the Full Wave Equation via Change of Variables

H.-M. Nguyen; M. S. Vogelius

Siam Journal on Mathematical Analysis. 2012. DOI : 10.1137/110833154.

[64] Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking

H.-M. Nguyên

Communication on Pure and Applied Mathematics. 2012. DOI : 10.1002/cpa.20392.

2011

[65] Jacobian determinant revisited

H.-M. Nguyên; H. Brezis

Inventiones Mathematicae. 2011. DOI : 10.1007/s00222-010-0300-9.

[66] On a new class of functions related to VMO

H.-M. Nguyên; H. Brezis

Comptes Rendus Mathematique. 2011. DOI : 10.1016/j.crma.2010.11.026.

[67] On the distributional Jacobian of maps from SN into SN in fractional Sobolev and Holder spaces

H.-M. Nguyên; H. Brezis

Annals of Mathematics. 2011. DOI : 10.4007/annals.2011.173.2.15.

[68] Some inequalities related to Sobolev norms

H.-M. Nguyên

Calculus of Variations and Partial Differential Equations. 2011. DOI : 10.1007/s00526-010-0373-8.

[69] Gamma-convergence, Sobolev norms, and BV functions

H.-M. Nguyên

Duke Mathematical Journal. 2011. DOI : 10.1215/00127094-1272921.

2010

[70] Cloaking via change of variables for the Helmholtz Equation in the whole space

H.-M. Nguyên

Communication on Pure and Applied Mathematics. 2010.

2009

[71] A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

H.-M. Nguyên; -S. Vogelius

Annales de l'Institut Henri Poincare Non Linear Analysis. 2009. DOI : 10.1016/j.anihpc.2009.03.005.

[72] Monotonicity of the peak time in turnover models

H.-M. Nguyên; -A. Peletier

Comptes Rendus Mathematique. 2009. DOI : 10.1016/j.crma.2009.02.005.

[73] Monotonicity of time to peak response with respect to drug dose for turnover models

H.-M. Nguyên; -A. Peletier

Differential and Integral Equations. 2009.

2008

[74] Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell's equations

H.-M. Nguyên; H. Haddar; P. Joly

Mathematical Models and Methods in Applied Sciences. 2008.

[75] Inequalities related to liftings and applications

H.-M. Nguyên

Comptes Rendus Mathematique. 2008. DOI : 10.1016/j.crma.2008.07.026.

[76] Further characterizations of Sobolev spaces

H.-M. Nguyên

Journal of the European Mathematical Society. 2008. DOI : 10.4171/JEMS/108.

2007

[77] Gamma-convergence and Sobolev norms

H.-M. Nguyên

Comptes Rendus Mathematique. 2007. DOI : 10.1016/j.crma.2007.11.005.

[78] Optimal constant in a new estimate for the degree

H.-M. Nguyên

Journal d'Analyse Mathematique. 2007. DOI : 10.1007/s11854-007-0014-0.

2006

[79] A new characterization of Sobolev spaces

H.-M. Nguyên; J. Bourgain

Comptes Rendus Mathematique. 2006. DOI : 10.1016/j.crma.2006.05.021.

[80] Some new characterizations of Sobolev spaces

H.-M. Nguyên

Journal of Functional Analysis. 2006. DOI : 10.1016/j.jfa.2006.04.001.

2005

[81] Asymptotic Models for scattering from strongly absorbing obstacles: the scalar case

H.-M. Nguyên; H. Haddar; P. Joly

Mathematical Models and Methods in Applied Sciences. 2005.

[82] A new estimate for the topological degree

H.-M. Nguyên; J. Bourgain; H. Brezis

Comptes Rendus Mathematique. 2005. DOI : 10.1016/j.crma.2005.04.007.