Edit Profile (opens in new tab) Zhang, Xu Co-Author Distance Author ID: zhang.xu.2 Published as: Zhang, Xu; Zhang, X. Homepage: http://teacher.scu.edu.cn/ftp_teacher0/xuzhang/acadeng.html External Links: MGP · ResearchGate Documents Indexed: 125 Publications since 1998, including 3 Books and 15 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 49 Co-Authors with 98 Joint Publications 2,456 Co-Co-Authors all top 5 Co-Authors 18 single-authored 22 Lü, Qi 18 Zuazua, Enrique 11 Liu, Xu 10 Zhang, Haisen 7 Fu, Xiaoyu 7 Yong, Jiongmin 5 Lasiecka, Irena 5 Triggiani, Roberto 4 Deng, Li 4 Frankowska, Hélène 4 Yu, Jiayang 3 Wang, Penghui 3 Yamamoto, Masahiro 2 Cui, Qing 2 Liu, Kangsheng 2 Pan, Liping 2 Phung, Kim Dang 2 Rao, Bopeng 2 Tang, Shanjian 2 Tang, Yuping 2 Wang, Gengsheng 2 Wang, Liangcheng 2 Wang, Zhouzhe 2 Yang, Donghui 2 Zheng, Chuang 1 Casas, Eduardo 1 Chaves-Silva, Felipe Wallison 1 Chen, Qihong 1 Dang, Yaoguo 1 de Teresa, Luz 1 Ding, Song 1 Duyckaerts, Thomas 1 Fan, Donghui 1 Feng, Enmin 1 Glowinski, Roland 1 Gu, Guangze 1 Guan, Shuyue 1 Guo, Bao-Zhu 1 Huang, Darong 1 Leugering, Günter 1 Li, Fengquan 1 Li, Hongheng 1 Li, Liangyu 1 Li, Wu 1 Li, Yunqian 1 Li, Zhong 1 Liu, Catherine Chunling 1 Liu, Xiaohui 1 Liu, Yuanhang 1 Lopez, Antonio M. jun. 1 Lou, Hongwei 1 Luo, Haimeng 1 Rauch, Jeffrey B. 1 Sun, Fu 1 Sun, Hongli 1 Teo, Kok Lay 1 Trélat, Emmanuel 1 Wang, Junjie 1 Wang, Lei 1 Wang, Tianxiao 1 Wang, Yanqing 1 Wu, Weijia 1 Wu, Xinxing 1 Xiu, Zhilong 1 Yin, Hongchao 1 Yuan, Jinlong 1 Zhao, Fukun 1 Zhao, Shiliang all top 5 Serials 11 SIAM Journal on Control and Optimization 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Mathematical Control and Related Fields 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Applied Mathematics and Optimization 2 Journal of Optimization Theory and Applications 2 Journal of Inverse and Ill-Posed Problems 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 SpringerBriefs in Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica Sinica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series A 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Systems Science and Mathematical Sciences 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Science in China. Series A 1 Differential and Integral Equations 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Stochastic Processes and their Applications 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Control Theory & Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Archives of Inequalities and Applications 1 Mediterranean Journal of Mathematics 1 International Journal of Applied Mathematical Sciences 1 Statistics and Its Interface 1 Scientia Sinica. Mathematica 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Nonlinear Analysis. Theory, Methods & Applications 1 Probability Theory and Stochastic Modelling 1 Probability, Uncertainty and Quantitative Risk all top 5 Fields 80 Systems theory; control (93-XX) 59 Partial differential equations (35-XX) 31 Probability theory and stochastic processes (60-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 11 Mechanics of deformable solids (74-XX) 7 Functional analysis (46-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 1,472 times in 890 Documents Cited by ▼ Year ▼ On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031 Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique 96 2008 Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Zbl 1178.74075 Zhang, Xu; Zuazua, Enrique 68 2007 Decay of solutions of the system of thermoelasticity of type III. Zbl 1136.74318 Zhang, Xu; Zuazua, Enrique 60 2003 Nonconservative wave equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot. Zbl 1096.93503 Lasiecka, I.; Triggiani, R.; Zhang, X. 56 2000 Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030 Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique 55 2005 Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. Zbl 1064.93008 Zhang, Xu; Zuazua, Enrique 55 2004 Null controllability for forward and backward stochastic parabolic equations. Zbl 1203.93027 Tang, Shanjian; Zhang, Xu 55 2009 Exact controllability for multidimensional semilinear hyperbolic equations. Zbl 1143.93005 Fu, Xiaoyu; Yong, Jiongmin; Zhang, Xu 52 2007 General Pontryagin-type stochastic maximum principle and backward stochastic evolution equations in infinite dimensions. Zbl 1316.49004 Lü, Qi; Zhang, Xu 45 2014 Explicit observability estimate for the wave equation with potential and its application. Zbl 0976.93038 Zhang, Xu 40 2000 Controllability of evolution equations with memory. Zbl 1368.93032 Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique 36 2017 Explicit observability inequalities for the wave equation with lower order terms by means of Carleman inequalities. Zbl 0982.35059 Zhang, Xu 35 2000 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. I: \(H^1(\Omega)\)-estimates. Zbl 1057.35042 Lasiecka, I.; Triggiani, R.; Zhang, X. 35 2004 Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. Zbl 1079.35017 López, Antonio; Zhang, Xu; Zuazua, Enrique 32 2000 Mathematical control theory for stochastic partial differential equations. Zbl 1497.93001 Lü, Qi; Zhang, Xu 32 2021 Controllability and observability of a heat equation with hyperbolic memory kernel. Zbl 1187.35265 Fu, Xiaoyu; Yong, Jiongmin; Zhang, Xu 31 2009 Carleman and observability estimates for stochastic wave equations. Zbl 1159.60335 Zhang, Xu 28 2008 The regularity of the wave equation with partial Dirichlet control and colocated observation. Zbl 1134.35318 Guo, Bao-Zhu; Zhang, Xu 28 2006 On the existence of time optimal controls for linear evolution equations. Zbl 1210.49008 Phung, Kim Dang; Wang, Gengsheng; Zhang, Xu 28 2007 Null controllability for wave equations with memory. Zbl 1370.93051 Lü, Qi; Zhang, Xu; Zuazua, Enrique 25 2017 Control, observation and polynomial decay for a coupled heat-wave system. Zbl 1029.93037 Zhang, Xu; Zuazua, Enrique 24 2003 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. II: \(L_2(\Omega)\)-estimates. Zbl 1061.35170 Lasiecka, I.; Triggiani, R.; Zhang, X. 23 2004 Global uniqueness for an inverse stochastic hyperbolic problem with three unknowns. Zbl 1315.60080 Lü, Qi; Zhang, Xu 22 2015 Carleman estimates for second order partial differential operators and applications. A unified approach. Zbl 1445.35006 Fu, Xiaoyu; Lü, Qi; Zhang, Xu 21 2019 Exact controllability of semilinear evolution systems and its application. Zbl 0966.47044 Zhang, X. 19 2000 A remark on null exact controllability of the heat equation. Zbl 1002.93025 Zhang, Xu 19 2001 A unified controllability/observability theory for some stochastic and deterministic partial differential equations. Zbl 1226.93031 Zhang, Xu 19 2011 Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential. Zbl 1028.35036 Zhang, Xu; Zuazua, Enrique 19 2003 Exact controllability of semilinear plate equations. Zbl 1007.35008 Zhang, Xu 18 2001 Representation of Itô integrals by Lebesgue/Bochner integrals. Zbl 1323.60076 Lü, Qi; Yong, Jiongmin; Zhang, Xu 17 2012 Pointwise second-order necessary conditions for stochastic optimal controls. I: The case of convex control constraint. Zbl 1337.49045 Zhang, Haisen; Zhang, Xu 16 2015 Time reversal focusing of the initial state for Kirchhoff plate. Zbl 1156.35103 Phung, Kim Dang; Zhang, Xu 16 2008 Well-posedness of backward stochastic differential equations with general filtration. Zbl 1268.60087 Lü, Qi; Zhang, Xu 15 2013 On the local controllability of a class of multidimensional quasilinear parabolic equations. Zbl 1180.35296 Liu, Xu; Zhang, Xu 14 2009 Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126 Lü, Qi; Zhang, Xu 13 2015 Heat equation with memory in anisotropic and non-homogeneous media. Zbl 1209.35057 Yong, Jiongmin; Zhang, Xu 13 2011 Stabilization of the wave equations with potential and indefinite damping. Zbl 1004.35023 Liu, Kangsheng; Rao, Bopeng; Zhang, Xu 12 2002 Exact controllability for semilinear wave equations. Zbl 0959.93029 Li, Liangyu; Zhang, Xu 12 2000 Polynomial decay and control of a 1-d model for fluid-structure interaction. Zbl 1083.93024 Zhang, Xu; Zuazua, Enrique 12 2003 Local controllability of multidimensional quasi-linear parabolic equations. Zbl 1252.93026 Liu, Xu; Zhang, Xu 12 2012 First and second order necessary conditions for stochastic optimal controls. Zbl 1352.93100 Frankowska, Hélène; Zhang, Haisen; Zhang, Xu 11 2017 Time discrete wave equations: boundary observability and control. Zbl 1158.93011 Zhang, Xu; Zheng, Chuang; Zuazua, Enrique 11 2009 Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. Zbl 1417.93335 Frankowska, Hélène; Zhang, Haisen; Zhang, Xu 11 2019 Global uniqueness and stability for an inverse wave source problem for less regular data. Zbl 0988.35172 Yamamoto, Masahiro; Zhang, Xu 10 2001 Pointwise second-order necessary conditions for stochastic optimal controls. II: The general case. Zbl 1371.93222 Zhang, Haisen; Zhang, Xu 10 2017 A sharp observability inequality for Kirchhoff plate systems with potentials. Zbl 1182.93032 Zhang, Xu; Zuazua, Enrique 10 2006 Exact controllability of the heat equation with hyperbolic memory kernel. Zbl 1085.35038 Yong, Jiongmin; Zhang, Xu 9 2005 Stochastic optimal control problems with control and initial-final states constraints. Zbl 1391.93294 Frankowska, Hélène; Zhang, Haisen; Zhang, Xu 9 2018 Unique continuation for stochastic parabolic equations. Zbl 1224.60163 Zhang, Xu 9 2008 On the optimality of the observability inequalities for Kirchhoff plate systems with potentials in unbounded domains. Zbl 1134.74030 Zhang, X.; Zuazua, E. 9 2008 Asymptotic behavior of a hyperbolic-parabolic coupled system arising in fluid-structure interaction. Zbl 1113.37063 Zhang, Xu; Zuazua, Enrique 9 2007 Parameter identification for a nonlinear enzyme-catalytic dynamic system with time-delays. Zbl 1330.90143 Yuan, Jinlong; Wang, Lei; Zhang, Xu; Feng, Enmin; Yin, Hongchao; Xiu, Zhilong 8 2015 Exact internal controllability of Maxwell’s equations. Zbl 0952.93011 Zhang, X. 8 2000 Global uniqueness and stability for a class of multidimensional inverse hyperbolic problems with two unknowns. Zbl 1059.35180 Yamamoto, Masahiro; Zhang, Xu 8 2003 Characterization of optimal feedback for stochastic linear quadratic control problems. Zbl 1432.93384 Lü, Qi; Wang, Tianxiao; Zhang, Xu 8 2017 Numerical solutions of backward stochastic differential equations: a finite transposition method. Zbl 1225.60119 Wang, Penghui; Zhang, Xu 7 2011 Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233 Lü, Qi; Zhang, Xu 7 2018 Recent progress on controllability/observability for systems governed by partial differential equations. Zbl 1201.93022 Li, Hongheng; Lü, Qi; Zhang, Xu 7 2010 Existence, uniqueness and limit behaviour of solutions to a nonlinear boundary-value problem with equivalued surface. Zbl 0929.35057 Zhang, Xu; Li, Fengquan 6 1998 Heat equations with memory. Zbl 1153.35309 Yong, J.; Zhang, X. 6 2005 Second-order necessary conditions for stochastic optimal control problems. Zbl 1380.93294 Zhang, Haisen; Zhang, Xu 5 2018 Controllability of parabolic and hyperbolic equations: toward a unified theory. Zbl 1085.35036 Li, Wu; Zhang, Xu 5 2005 Rapid exact controllability of the semilinear wave equation. Zbl 0946.93008 Zhang, Xu 4 1999 A mini-course on stochastic control. Zbl 1425.93303 Lü, Qi; Zhang, Xu 4 2019 Some results on pointwise second-order necessary conditions for stochastic optimal controls. Zbl 1338.93409 Zhang, HaiSen; Zhang, Xu 4 2016 Remarks on the controllability of some quasilinear equations. Zbl 1234.93024 Zhang, Xu 4 2010 Nonconservative Schrödinger equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot. Zbl 1111.93304 Lasiecka, I.; Triggiani, R.; Zhang, Xu 4 2003 A concise introduction to control theory for stochastic partial differential equations. Zbl 1508.93332 Lü, Qi; Zhang, Xu 3 2022 Necessary conditions for stochastic optimal control problems in infinite dimensions. Zbl 1441.93337 Frankowska, Hélène; Zhang, Xu 3 2020 On the optimality of some observability inequalities for plate systems with potentials. Zbl 1118.93017 Fu, Xiaoyu; Zhang, Xu; Zuazua, Enrique 3 2006 Observability inequalities by internal observation and their applications. Zbl 1087.93031 Liu, K.; Yamamoto, M.; Zhang, X. 3 2003 Erratum to: “Representation of Itô integrals by Lebesgue/Bochner integrals”. Zbl 1410.60052 Lü, Qi; Yong, Jiongmin; Zhang, Xu 2 2018 Solvability of nonlinear parabolic boundary value problem with equivalued surface. Zbl 0920.35086 Zhang, Xu 2 1999 A note on the singular limit of the exact controllability of dissipative wave equations. Zbl 0978.93037 Tang, Yuping; Zhang, Xu 2 2000 Carleman inequality for backward stochastic parabolic equations with general coefficients. Zbl 1067.60051 Tang, Shanjian; Zhang, Xu 2 2004 Finite codimensional controllability and optimal control problems with endpoint state constraints. Zbl 1441.93033 Liu, Xu; Lü, Qi; Zhang, Xu 2 2020 Range inclusion of operators on non-archimedean Banach space. Zbl 1218.46051 Wang, Penghui; Zhang, Xu 2 2010 Exact controllability of the time discrete wave equation: a multiplier approach. Zbl 1189.93026 Zhang, Xu; Zheng, Chuang; Zuazua, Enrique 2 2010 The linearized Benjamin-Bona-Mahony equation: A spectral approach to unique continuation. Zbl 1038.35107 Zhang, Xu; Zuazua, Enrique 2 2002 Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds. Zbl 1458.49017 Deng, Li; Zhang, Xu 2 2021 An internal observability estimate for stochastic hyperbolic equations. Zbl 1350.93021 Fu, Xiaoyu; Liu, Xu; Lü, Qi; Zhang, Xu 1 2016 Uniqueness of weak solution for nonlinear elliptic equations in divergence form. Zbl 0966.35004 Zhang, Xu 1 2000 Infinite dimensional Cauchy-Kowalevski and Holmgren type theorems. Zbl 1423.35006 Yu, Jiayang; Zhang, Xu 1 2019 Pointwise second-order necessary conditions for optimal control problems evolved on Riemannian manifolds. (Conditions nécessaires ponctuelles du second ordre pour des problèmes de contrôle optimal évolués sur une variété riemannienne.) Zbl 1379.49041 Cui, Qing; Deng, Li; Zhang, Xu 1 2016 Carleman estimates at the \(H^1(\Omega)\)- and \(L_2(\Omega)\)-level for nonconservative Schrödinger equations with unobserved Neumann B. C. Zbl 1072.35038 Lasiecka, I.; Triggiani, R.; Zhang, Xu 1 2004 The weak maximum principle for a class of strongly coupled elliptic differential systems. Zbl 1258.35042 Liu, Xu; Zhang, Xu 1 2012 A novel collaborative diagnosis approach of incipient faults based on VMD and SCN for rolling bearing. Zbl 07754247 Huang, Darong; Li, Yunqian; Guan, Shuyue; Zhang, Xu; Tang, Min 1 2023 Numerics for stochastic distributed parameter control systems: a finite transposition method. Zbl 07573587 Lü, Qi; Wang, Penghui; Wang, Yanqing; Zhang, Xu 1 2022 Frequency domain approach to decay rates for a coupled hyperbolic-parabolic system. Zbl 1500.35048 Rao, Bopeng; Zhang, Xu 1 2021 Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties. Zbl 1473.37041 Wu, Xinxing; Zhang, Xu; Sun, Fu 1 2021 Second order optimality conditions for optimal control problems on Riemannian manifolds. Zbl 1444.49012 Cui, Qing; Deng, Li; Zhang, Xu 1 2019 Unique continuation and observability for stochastic parabolic equations and beyond. Zbl 1200.60053 Zhang, Xu 1 2007 \(L^2\) estimates and existence theorems for the \(\overline{\partial}\) operators in infinite dimensions. I. Zbl 1497.46052 Yu, Jiayang; Zhang, Xu 1 2022 A novel collaborative diagnosis approach of incipient faults based on VMD and SCN for rolling bearing. Zbl 07754247 Huang, Darong; Li, Yunqian; Guan, Shuyue; Zhang, Xu; Tang, Min 1 2023 A concise introduction to control theory for stochastic partial differential equations. Zbl 1508.93332 Lü, Qi; Zhang, Xu 3 2022 Numerics for stochastic distributed parameter control systems: a finite transposition method. Zbl 07573587 Lü, Qi; Wang, Penghui; Wang, Yanqing; Zhang, Xu 1 2022 \(L^2\) estimates and existence theorems for the \(\overline{\partial}\) operators in infinite dimensions. I. Zbl 1497.46052 Yu, Jiayang; Zhang, Xu 1 2022 Mathematical control theory for stochastic partial differential equations. Zbl 1497.93001 Lü, Qi; Zhang, Xu 32 2021 Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds. Zbl 1458.49017 Deng, Li; Zhang, Xu 2 2021 Frequency domain approach to decay rates for a coupled hyperbolic-parabolic system. Zbl 1500.35048 Rao, Bopeng; Zhang, Xu 1 2021 Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties. Zbl 1473.37041 Wu, Xinxing; Zhang, Xu; Sun, Fu 1 2021 Necessary conditions for stochastic optimal control problems in infinite dimensions. Zbl 1441.93337 Frankowska, Hélène; Zhang, Xu 3 2020 Finite codimensional controllability and optimal control problems with endpoint state constraints. Zbl 1441.93033 Liu, Xu; Lü, Qi; Zhang, Xu 2 2020 Carleman estimates for second order partial differential operators and applications. A unified approach. Zbl 1445.35006 Fu, Xiaoyu; Lü, Qi; Zhang, Xu 21 2019 Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. Zbl 1417.93335 Frankowska, Hélène; Zhang, Haisen; Zhang, Xu 11 2019 A mini-course on stochastic control. Zbl 1425.93303 Lü, Qi; Zhang, Xu 4 2019 Infinite dimensional Cauchy-Kowalevski and Holmgren type theorems. Zbl 1423.35006 Yu, Jiayang; Zhang, Xu 1 2019 Second order optimality conditions for optimal control problems on Riemannian manifolds. Zbl 1444.49012 Cui, Qing; Deng, Li; Zhang, Xu 1 2019 Stochastic optimal control problems with control and initial-final states constraints. Zbl 1391.93294 Frankowska, Hélène; Zhang, Haisen; Zhang, Xu 9 2018 Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233 Lü, Qi; Zhang, Xu 7 2018 Second-order necessary conditions for stochastic optimal control problems. Zbl 1380.93294 Zhang, Haisen; Zhang, Xu 5 2018 Erratum to: “Representation of Itô integrals by Lebesgue/Bochner integrals”. Zbl 1410.60052 Lü, Qi; Yong, Jiongmin; Zhang, Xu 2 2018 Controllability of evolution equations with memory. Zbl 1368.93032 Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique 36 2017 Null controllability for wave equations with memory. Zbl 1370.93051 Lü, Qi; Zhang, Xu; Zuazua, Enrique 25 2017 First and second order necessary conditions for stochastic optimal controls. Zbl 1352.93100 Frankowska, Hélène; Zhang, Haisen; Zhang, Xu 11 2017 Pointwise second-order necessary conditions for stochastic optimal controls. II: The general case. Zbl 1371.93222 Zhang, Haisen; Zhang, Xu 10 2017 Characterization of optimal feedback for stochastic linear quadratic control problems. Zbl 1432.93384 Lü, Qi; Wang, Tianxiao; Zhang, Xu 8 2017 Some results on pointwise second-order necessary conditions for stochastic optimal controls. Zbl 1338.93409 Zhang, HaiSen; Zhang, Xu 4 2016 An internal observability estimate for stochastic hyperbolic equations. Zbl 1350.93021 Fu, Xiaoyu; Liu, Xu; Lü, Qi; Zhang, Xu 1 2016 Pointwise second-order necessary conditions for optimal control problems evolved on Riemannian manifolds. (Conditions nécessaires ponctuelles du second ordre pour des problèmes de contrôle optimal évolués sur une variété riemannienne.) Zbl 1379.49041 Cui, Qing; Deng, Li; Zhang, Xu 1 2016 Global uniqueness for an inverse stochastic hyperbolic problem with three unknowns. Zbl 1315.60080 Lü, Qi; Zhang, Xu 22 2015 Pointwise second-order necessary conditions for stochastic optimal controls. I: The case of convex control constraint. Zbl 1337.49045 Zhang, Haisen; Zhang, Xu 16 2015 Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126 Lü, Qi; Zhang, Xu 13 2015 Parameter identification for a nonlinear enzyme-catalytic dynamic system with time-delays. Zbl 1330.90143 Yuan, Jinlong; Wang, Lei; Zhang, Xu; Feng, Enmin; Yin, Hongchao; Xiu, Zhilong 8 2015 General Pontryagin-type stochastic maximum principle and backward stochastic evolution equations in infinite dimensions. Zbl 1316.49004 Lü, Qi; Zhang, Xu 45 2014 Well-posedness of backward stochastic differential equations with general filtration. Zbl 1268.60087 Lü, Qi; Zhang, Xu 15 2013 Representation of Itô integrals by Lebesgue/Bochner integrals. Zbl 1323.60076 Lü, Qi; Yong, Jiongmin; Zhang, Xu 17 2012 Local controllability of multidimensional quasi-linear parabolic equations. Zbl 1252.93026 Liu, Xu; Zhang, Xu 12 2012 The weak maximum principle for a class of strongly coupled elliptic differential systems. Zbl 1258.35042 Liu, Xu; Zhang, Xu 1 2012 A unified controllability/observability theory for some stochastic and deterministic partial differential equations. Zbl 1226.93031 Zhang, Xu 19 2011 Heat equation with memory in anisotropic and non-homogeneous media. Zbl 1209.35057 Yong, Jiongmin; Zhang, Xu 13 2011 Numerical solutions of backward stochastic differential equations: a finite transposition method. Zbl 1225.60119 Wang, Penghui; Zhang, Xu 7 2011 Recent progress on controllability/observability for systems governed by partial differential equations. Zbl 1201.93022 Li, Hongheng; Lü, Qi; Zhang, Xu 7 2010 Remarks on the controllability of some quasilinear equations. Zbl 1234.93024 Zhang, Xu 4 2010 Range inclusion of operators on non-archimedean Banach space. Zbl 1218.46051 Wang, Penghui; Zhang, Xu 2 2010 Exact controllability of the time discrete wave equation: a multiplier approach. Zbl 1189.93026 Zhang, Xu; Zheng, Chuang; Zuazua, Enrique 2 2010 Null controllability for forward and backward stochastic parabolic equations. Zbl 1203.93027 Tang, Shanjian; Zhang, Xu 55 2009 Controllability and observability of a heat equation with hyperbolic memory kernel. Zbl 1187.35265 Fu, Xiaoyu; Yong, Jiongmin; Zhang, Xu 31 2009 On the local controllability of a class of multidimensional quasilinear parabolic equations. Zbl 1180.35296 Liu, Xu; Zhang, Xu 14 2009 Time discrete wave equations: boundary observability and control. Zbl 1158.93011 Zhang, Xu; Zheng, Chuang; Zuazua, Enrique 11 2009 On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031 Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique 96 2008 Carleman and observability estimates for stochastic wave equations. Zbl 1159.60335 Zhang, Xu 28 2008 Time reversal focusing of the initial state for Kirchhoff plate. Zbl 1156.35103 Phung, Kim Dang; Zhang, Xu 16 2008 Unique continuation for stochastic parabolic equations. Zbl 1224.60163 Zhang, Xu 9 2008 On the optimality of the observability inequalities for Kirchhoff plate systems with potentials in unbounded domains. Zbl 1134.74030 Zhang, X.; Zuazua, E. 9 2008 Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Zbl 1178.74075 Zhang, Xu; Zuazua, Enrique 68 2007 Exact controllability for multidimensional semilinear hyperbolic equations. Zbl 1143.93005 Fu, Xiaoyu; Yong, Jiongmin; Zhang, Xu 52 2007 On the existence of time optimal controls for linear evolution equations. Zbl 1210.49008 Phung, Kim Dang; Wang, Gengsheng; Zhang, Xu 28 2007 Asymptotic behavior of a hyperbolic-parabolic coupled system arising in fluid-structure interaction. Zbl 1113.37063 Zhang, Xu; Zuazua, Enrique 9 2007 Unique continuation and observability for stochastic parabolic equations and beyond. Zbl 1200.60053 Zhang, Xu 1 2007 The regularity of the wave equation with partial Dirichlet control and colocated observation. Zbl 1134.35318 Guo, Bao-Zhu; Zhang, Xu 28 2006 A sharp observability inequality for Kirchhoff plate systems with potentials. Zbl 1182.93032 Zhang, Xu; Zuazua, Enrique 10 2006 On the optimality of some observability inequalities for plate systems with potentials. Zbl 1118.93017 Fu, Xiaoyu; Zhang, Xu; Zuazua, Enrique 3 2006 Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030 Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique 55 2005 Exact controllability of the heat equation with hyperbolic memory kernel. Zbl 1085.35038 Yong, Jiongmin; Zhang, Xu 9 2005 Heat equations with memory. Zbl 1153.35309 Yong, J.; Zhang, X. 6 2005 Controllability of parabolic and hyperbolic equations: toward a unified theory. Zbl 1085.35036 Li, Wu; Zhang, Xu 5 2005 Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. Zbl 1064.93008 Zhang, Xu; Zuazua, Enrique 55 2004 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. I: \(H^1(\Omega)\)-estimates. Zbl 1057.35042 Lasiecka, I.; Triggiani, R.; Zhang, X. 35 2004 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. II: \(L_2(\Omega)\)-estimates. Zbl 1061.35170 Lasiecka, I.; Triggiani, R.; Zhang, X. 23 2004 Carleman inequality for backward stochastic parabolic equations with general coefficients. Zbl 1067.60051 Tang, Shanjian; Zhang, Xu 2 2004 Carleman estimates at the \(H^1(\Omega)\)- and \(L_2(\Omega)\)-level for nonconservative Schrödinger equations with unobserved Neumann B. C. Zbl 1072.35038 Lasiecka, I.; Triggiani, R.; Zhang, Xu 1 2004 Decay of solutions of the system of thermoelasticity of type III. Zbl 1136.74318 Zhang, Xu; Zuazua, Enrique 60 2003 Control, observation and polynomial decay for a coupled heat-wave system. Zbl 1029.93037 Zhang, Xu; Zuazua, Enrique 24 2003 Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential. Zbl 1028.35036 Zhang, Xu; Zuazua, Enrique 19 2003 Polynomial decay and control of a 1-d model for fluid-structure interaction. Zbl 1083.93024 Zhang, Xu; Zuazua, Enrique 12 2003 Global uniqueness and stability for a class of multidimensional inverse hyperbolic problems with two unknowns. Zbl 1059.35180 Yamamoto, Masahiro; Zhang, Xu 8 2003 Nonconservative Schrödinger equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot. Zbl 1111.93304 Lasiecka, I.; Triggiani, R.; Zhang, Xu 4 2003 Observability inequalities by internal observation and their applications. Zbl 1087.93031 Liu, K.; Yamamoto, M.; Zhang, X. 3 2003 Stabilization of the wave equations with potential and indefinite damping. Zbl 1004.35023 Liu, Kangsheng; Rao, Bopeng; Zhang, Xu 12 2002 The linearized Benjamin-Bona-Mahony equation: A spectral approach to unique continuation. Zbl 1038.35107 Zhang, Xu; Zuazua, Enrique 2 2002 A remark on null exact controllability of the heat equation. Zbl 1002.93025 Zhang, Xu 19 2001 Exact controllability of semilinear plate equations. Zbl 1007.35008 Zhang, Xu 18 2001 Global uniqueness and stability for an inverse wave source problem for less regular data. Zbl 0988.35172 Yamamoto, Masahiro; Zhang, Xu 10 2001 Nonconservative wave equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot. Zbl 1096.93503 Lasiecka, I.; Triggiani, R.; Zhang, X. 56 2000 Explicit observability estimate for the wave equation with potential and its application. Zbl 0976.93038 Zhang, Xu 40 2000 Explicit observability inequalities for the wave equation with lower order terms by means of Carleman inequalities. Zbl 0982.35059 Zhang, Xu 35 2000 Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. Zbl 1079.35017 López, Antonio; Zhang, Xu; Zuazua, Enrique 32 2000 Exact controllability of semilinear evolution systems and its application. Zbl 0966.47044 Zhang, X. 19 2000 Exact controllability for semilinear wave equations. Zbl 0959.93029 Li, Liangyu; Zhang, Xu 12 2000 Exact internal controllability of Maxwell’s equations. Zbl 0952.93011 Zhang, X. 8 2000 A note on the singular limit of the exact controllability of dissipative wave equations. Zbl 0978.93037 Tang, Yuping; Zhang, Xu 2 2000 Uniqueness of weak solution for nonlinear elliptic equations in divergence form. Zbl 0966.35004 Zhang, Xu 1 2000 Rapid exact controllability of the semilinear wave equation. Zbl 0946.93008 Zhang, Xu 4 1999 Solvability of nonlinear parabolic boundary value problem with equivalued surface. Zbl 0920.35086 Zhang, Xu 2 1999 Existence, uniqueness and limit behaviour of solutions to a nonlinear boundary-value problem with equivalued surface. Zbl 0929.35057 Zhang, Xu; Li, Fengquan 6 1998 all cited Publications top 5 cited Publications all top 5 Cited by 953 Authors 38 Zhang, Xu 28 Zuazua, Enrique 27 Lü, Qi 22 Guo, Bao-Zhu 16 Fu, Xiaoyu 16 Tcheugoué Tébou, Louis Roder 15 Xu, Gen-Qi 14 Cavalcanti, Marcelo Moreira 14 Gao, Hang 14 Han, Zhongjie 14 Lasiecka, Irena 14 Wang, Gengsheng 12 Domingos Cavalcanti, Valéria Neves 12 Liu, Xu 11 Triggiani, Roberto 11 Wang, Junmin 10 Münch, Arnaud 10 Rao, Bopeng 10 Toundykov, Daniel 10 Zhang, Haisen 10 Zhou, Xiuxiang 9 Avalos, George 9 Micu, Sorin 9 Muñoz Rivera, Jaime Edilberto 9 Wu, Bin 9 Yamamoto, Masahiro 8 Ervedoza, Sylvain 8 Gao, Peng 8 Liu, Shitao 8 Wang, Lijuan 8 Zhang, Can 7 Balachandran, Krishnan 7 Chai, Shugen 7 Frankowska, Hélène 7 Hernández-Santamaría, Víctor 7 Pandolfi, Luciano 7 Paunonen, Lassi 7 Quintanilla de Latorre, Ramón 7 Wang, Tianxiao 7 Wehbe, Ali 7 Yang, Donghui 7 Yong, Jiongmin 6 Dou, Fangfang 6 Fernández-Cara, Enrique 6 Leiva, Hugo 6 Mercado, Alberto 6 Messaoudi, Salim A. 6 Muha, Boris 6 Qin, Yuming 6 Soufyane, Abdelaziz 6 Tao, Qiang 6 Wang, Yanqing 6 Xiong, Jie 6 Yin, Zhongqi 6 Zhang, Qiong 6 Zhang, Yubiao 5 Aouadi, Moncef 5 Beauchard, Karine 5 Biccari, Umberto 5 Corrêa, Wellington José 5 Le Balc’h, Kévin 5 Lei, Peidong 5 Limaco, Juan 5 Liu, Kangsheng 5 Maniar, Lahcen 5 Meng, Qingxin 5 Phung, Kim Dang 5 Rodrigues, Sérgio S. 5 Seifert, David 5 Tang, Shanjian 5 Wang, Zewen 5 Xie, Jun 5 Yang, Fengyan 5 Yao, Pengfei 5 Yu, Yongyi 5 Yuan, Jinlong 5 Zhang, MuMing 4 Akil, Mohammad 4 Allal, Brahim 4 Baudouin, Lucie 4 Cannarsa, Piermarco 4 Chaves-Silva, Felipe Wallison 4 Chen, Qun 4 Cui, Lizhi 4 Deng, Li 4 Feng, Enmin 4 Geredeli, Pelin Guven 4 Guo, Yaping 4 Hu, Ying 4 Huang, Ming 4 Imanuvilov, Oleg Yu. 4 Kunisch, Karl 4 Laurent, Camille 4 Lemoine, Jérôme 4 Li, Binjie 4 Li, Fengquan 4 Li, Tatsien 4 Liao, Zhonghua 4 Liu, Hongyu 4 Ma, Shiqi ...and 853 more Authors all top 5 Cited in 189 Serials 74 Journal of Mathematical Analysis and Applications 62 SIAM Journal on Control and Optimization 57 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 42 Journal of Differential Equations 34 Mathematical Control and Related Fields 27 Systems & Control Letters 23 Applied Mathematics and Optimization 21 Applicable Analysis 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Evolution Equations and Control Theory 19 Mathematical Methods in the Applied Sciences 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Optimization Theory and Applications 13 MCSS. Mathematics of Control, Signals, and Systems 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Dynamical and Control Systems 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Chinese Annals of Mathematics. Series B 9 Acta Applicandae Mathematicae 9 Communications on Pure and Applied Analysis 8 Automatica 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal of Evolution Equations 8 Discrete and Continuous Dynamical Systems. Series S 7 International Journal of Control 7 Inverse Problems 7 Journal of Inverse and Ill-Posed Problems 7 Journal of Systems Science and Complexity 6 Computers & Mathematics with Applications 6 Quarterly of Applied Mathematics 6 Discrete and Continuous Dynamical Systems. Series B 6 Boundary Value Problems 5 Mathematische Nachrichten 5 Discrete and Continuous Dynamical Systems 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Advances in Difference Equations 4 Journal of Mathematical Physics 4 Journal of Functional Analysis 4 Numerische Mathematik 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 Applied Mathematical Modelling 4 Communications in Partial Differential Equations 4 Stochastic Processes and their Applications 4 European Journal of Control 4 Nonlinear Analysis. Real World Applications 4 Nonlinear Analysis. Hybrid Systems 4 Science China. Mathematics 3 Journal of the Franklin Institute 3 Journal of Mathematical Biology 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Transactions of the American Mathematical Society 3 Asymptotic Analysis 3 The Journal of Geometric Analysis 3 Journal of Dynamics and Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Mathematical Problems in Engineering 3 Vietnam Journal of Mathematics 3 Abstract and Applied Analysis 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Control Theory and Applications 3 Networks and Heterogeneous Media 3 Dynamic Games and Applications 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Probability, Uncertainty and Quantitative Risk 2 Archive for Rational Mechanics and Analysis 2 International Journal of Engineering Science 2 Nonlinearity 2 Ukrainian Mathematical Journal 2 BIT 2 Journal of Computational and Applied Mathematics 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Semigroup Forum 2 Probability Theory and Related Fields 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Journal of Robust and Nonlinear Control 2 Journal of Nonlinear Science 2 Positivity 2 Taiwanese Journal of Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete Dynamics in Nature and Society 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Foundations of Computational Mathematics 2 Mediterranean Journal of Mathematics 2 Inverse Problems in Science and Engineering 2 Inverse Problems and Imaging 2 Set-Valued and Variational Analysis 2 Advances in Pure and Applied Mathematics 2 S\(\vec{\text{e}}\)MA Journal 2 Séminaire Laurent Schwartz. EDP et Applications 2 SN Partial Differential Equations and Applications 1 Bulletin of the Australian Mathematical Society ...and 89 more Serials all top 5 Cited in 35 Fields 614 Partial differential equations (35-XX) 570 Systems theory; control (93-XX) 139 Calculus of variations and optimal control; optimization (49-XX) 130 Probability theory and stochastic processes (60-XX) 130 Mechanics of deformable solids (74-XX) 67 Numerical analysis (65-XX) 45 Operator theory (47-XX) 35 Fluid mechanics (76-XX) 29 Ordinary differential equations (34-XX) 24 Integral equations (45-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Operations research, mathematical programming (90-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of particles and systems (70-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Real functions (26-XX) 8 Functional analysis (46-XX) 8 Optics, electromagnetic theory (78-XX) 5 Functions of a complex variable (30-XX) 5 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) Citations by Year