Kim Dang Phung

Published Papers

[27]	Rémi Buffe , Kim Dang Phung , Amine Slimani . An optimal spectral inequality for degenerate operators. SIAM Journal on Control and Optimization 62 (5) (2024) 2506–2528. https://doi.org/10.1137/23M1605211
[26]	Rémi Buffe , Kim Dang Phung . Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity. Journal of Evolution Equations 22 (86) (2022). https://doi.org/10.1007/s00028-022-00842-2
[25]	Laurent Desvillettes , Kim Dang Phung . Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system. Journal of Differential Equations 338 (2022) 227-255. https://doi.org/10.1016/j.jde.2022.07.047
[24]	Rémi Buffe , Kim Dang Phung . A spectral inequality for degenerate operators and applications. Comptes Rendus Mathématique. Académie des Sciences. Paris 356 (11-12) (2018) 1131-1155. https://doi.org/10.1016/j.crma.2018.11.004
[23]	Kim Dang Phung . Carleman commutator approach in logarithmic convexity for parabolic equations. Mathematical Control and Related Fields 8 (3-4) (2018) 899-933. https://doi.org/10.3934/mcrf.2018040
[22]	Kim Dang Phung , Gengsheng Wang , Yashan Xu . Impulse output rapid stabilization for heat equations. Journal of Differential Equations 263 (8) (2017) 5012-5041. https://doi.org/10.1016/j.jde.2017.06.008
[21]	Claude Bardos , Kim Dang Phung . Observation estimate for kinetic transport equations by diffusion approximation. Comptes Rendus Mathématique. Académie des Sciences. Paris 355 (6) (2017) 640-664. https://doi.org/10.1016/j.crma.2017.04.017
[20]	Kim Dang Phung , Lijuan Wang , Can Zhang . Bang-bang property for time optimal control of semilinear heat equation. Annales de l'Institut Henri Poincaré Analyse Non Linéaire 31 (3) (2014) 477-499. https://doi.org/10.1016/j.anihpc.2013.04.005
[19]	Kim Dang Phung . Energy decay for Maxwell's equations with Ohm's law in partially cubic domains. Communications on Pure and Applied Analysis 12 (5) (2013) 2229-2266. https://doi.org/10.3934/cpaa.2013.12.2229
[18]	Kim Dang Phung , Gengsheng Wang . An observability estimate for parabolic equations from a measurable set in time and its applications. Journal of the European Mathematical Society 15 (2) (2013) 681-703. https://doi.org/10.4171/JEMS/371
[17]	Kim Dang Phung . Decay of solutions of the wave equation with localized nonlinear damping and trapped rays. Mathematical Control and Related Fields 2 (1) (2011) 251-265. https://doi.org/10.3934/mcrf.2011.1.251
[16]	Kim Dang Phung . Waves, damped wave and observation. Some problems on nonlinear hyperbolic equations and applications, 386-412, Ser. Contemp. Appl. Math. CAM, 15, Higher Ed. Press, Beijing, 2010. https://doi.org/10.1142/9789814322898_0017
[15]	Kim Dang Phung , Gengsheng Wang . Quantitative unique continuation for the semilinear heat equation in a convex domain. Journal of Functional Analysis 259 (5) (2010) 1230-1247. https://doi.org/10.1016/j.jfa.2010.04.015
[14]	Kim Dang Phung , Xu Zhang . Time reversal focusing of the initial state for Kirchhoff plate. SIAM Journal on Applied Mathematics 68 (6) (2008) 1535-1556. https://doi.org/10.1137/070684823
[13]	Kim Dang Phung . Boundary stabilization for the wave equation in a bounded cylindrical domain. Discrete and Continuous Dynamical Systems 20 (4) (2008) 1057-1093. https://doi.org/10.3934/dcds.2008.20.1057
[12]	Kim Dang Phung . Polynomial decay rate for the dissipative wave equation. Journal of Differential Equations 240 (1) (2007) 92-124. https://doi.org/10.1016/j.jde.2007.05.016
[11]	Kim Dang Phung , Gengsheng Wang , Xu Zhang . On the existence of time optimal controls for linear evolution equations. Discrete and Continuous Dynamical Systems Series B 8 (4) (2007) 925-941. https://doi.org/10.3934/dcdsb.2007.8.925
[10]	Kim Dang Phung , Gengsheng Wang . Quantitative uniqueness for time-periodic heat equation with potential and its applications. Differential Integral Equations 19 (6) (2006) 627-668. https://doi.org/die/1356050356
[9]	Kim Dang Phung . Note on the cost of the approximate controllability for the heat equation with potential. Journal of Mathematical Analysis and Applications 295 (2) (2004) 527-538. https://doi.org/10.1016/j.jmaa.2004.03.059
[8]	Kim Dang Phung . Stabilization of the incompressible 2D Euler equations in a simply connected domain utilizing the Lorentz force. Journal of Mathematical Analysis and Applications 293 (2) (2004) 389-404. https://doi.org/10.1016/j.jmaa.2003.10.047
[7]	Kim Dang Phung . Remarques sur l'observabilité de l'équation de Laplace. ESAIM: Control, Optimisation and Calculus of Variations 9 (2003) 621-635. https://doi.org/10.1051/cocv:2003030
[6]	Kim Dang Phung . Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equation under the Bardos-Lebeau-Rauch geometric control condition. Computers and Mathematics with Applications 44 (10-11) (2002) 1289-1296. https://doi.org/10.1016/S0898-1221(02)00256-0
[5]	Kim Dang Phung . Observability and control for Schrödinger equations. SIAM Journal on Control and Optimization 40 (1) (2001) 211-230. https://doi.org/10.1137/S0363012900368405
[4]	Kim Dang Phung . Observability of the Schrödinger equation. Carleman estimates and applications to uniqueness and control theory (Cortona, 1999), 165-177, Progr. Nonlinear Differential Equations Appl., 46, Birkhäuser Boston, Boston, MA, 2001. https://doi.org/10.1007/978-1-4612-0203-5_12
[3]	Kim Dang Phung . Contrôle et stabilisation d'ondes électromagnétiques. ESAIM: Control, Optimisation and Calculus of Variations 5 (2000) 87-137. https://doi.org/10.1051/cocv:2000103
[2]	Kim Dang Phung . Contrôlabilité exacte et stabilisation interne des équations de Maxwell. Comptes Rendus de l'Académie des Sciences. Paris. Série I. Mathématique 323 (2) (1996) 169-174.
[1]	Kim Dang Phung . Stabilisation frontière du système de Maxwell avec la condition aux limites absorbante de Silver-Müller. Comptes Rendus de l'Académie des Sciences. Paris. Série I. Mathématique 320 (2) (1995) 187-192.

Papers by K.-D. Phung which are not submitted to Journals

{.pdf}	Dirichlet stabilization for the wave equation, (1998, from a paper of Lebeau).
{.pdf}	Controllability and stabilization of electromagnetic waves, (english version of [3]).
{.pdf}	La propriété de doubling, (2002, from a paper of Garofalo-Lin).
{.pdf}	Presentation of the internal stabilization problem for the wave equation (2004, talk at Chengdu).
	{.pdf} Quantification of unique continuation for an elliptic equation with Dirichlet boundary condition (2004, from a paper of Escauriaza).
	{.pdf} Quantification of unique continuation for the wave equation with Dirichlet boundary condition (2004, from a paper of Robbiano).
	{.pdf} Logarithmic L^2 decay rate for the damped wave equation (2004, talk at Chengdu).
{.pdf}	Asymptotic control of chaos for a partial differential equation (2005, from a paper of Myjak-Rudnicki).
{.pdf}	Lecture notes (2006, Wuhan).
{.pdf}	Doubling property for the Laplacian and its applications (2007, Chengdu).
{.pdf}	Mémoire présenté pour l'habilitation à diriger des recherches (2007, Paris).
{.pdf}	Waves, damped wave and observation (2008, talk at Shanghai).
{.pdf}	Polynomial decay for the Maxwell's equations with Ohm's law (2010, talk at Paris).
{.pdf}	Observability for heat equations (2011, Changchun).
{.pdf}	Observability for parabolic equations from a measurable set in time (2011, talk at Orléans).
{.pdf}	Quantitative unique continuation from measurable set for some PDE's (2012, Chengdu).
{.pdf}	Quantitative uniqueness for some PDE's (2012, talk at Bilbao).
{.pdf}	Lecture notes (2014, Ho Chi Minh City).
{.pdf}	Pulse control for heat equations (2016, talk at Valenciennes).
{.pdf}	Observation at one point in time for parabolic equations (2017, talk at Paris).
{.pdf}	Finite-time stabilization for parabolic equations via impulse controls (2018, talk at Shanghai).
{.pdf}	Reconstruction of initial data for parabolic equations via impulse controls (2019, talk at Wuhan).
{.pdf}	Observation at one point for parabolic equations by a simplest way (2020, talk at Domaine de Chalès).
{.pdf}	Control and stabilization of PDE (2021, talk at Nouan-le-Fuzelier).