Edit Profile (opens in new tab) Lange, Horst Compute Distance To: Compute Author ID: lange.horst Published as: Lange, Horst; Lange, H. Documents Indexed: 57 Publications since 1968 1 Further Contribution Reviewing Activity: 85 Reviews Co-Authors: 18 Co-Authors with 31 Joint Publications 505 Co-Co-Authors all top 5 Co-Authors 17 single-authored 14 Zweifel, Paul F. 8 Illner, Reinhard 7 Toomire, Bruce V. 6 Teismann, Holger 3 Brüll, Ludger 2 Hauhs, Michael 2 Heimsoeth, Bettina 2 Kastenholz, Michael 2 Kavian, Otared 2 Nieder, Dirk 2 Poppenberg, Markus 2 Wang, Bixiang 1 Arnold, Anton 1 Baacke, Jürgen 1 Bazley, Norman W. 1 Beauchard, Karine 1 Bohun, Sean 1 Bradlow, Steven B. 1 Dolbeault, Jean 1 Glotzmann, T. 1 Hadeler, Karl-Peter 1 Kirchgässner, Klaus 1 Klar, Axel 1 Lamm, A. 1 Perla Menzala, Gustavo Alberto 1 Romahn, C. 1 Unterreiter, Andreas 1 Wegener, Raimund 1 Wille, Friedrich all top 5 Serials 11 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Journal of Mathematical Physics 6 Mathematical Methods in the Applied Sciences 3 Transport Theory and Statistical Physics 2 Journal of Mathematical Analysis and Applications 2 Reports on Mathematical Physics 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Modern Physics Letters A 1 Applicable Analysis 1 Archives of Mechanics 1 Archive for Rational Mechanics and Analysis 1 Mathematische Nachrichten 1 Portugaliae Mathematica 1 SIAM Journal on Control and Optimization 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Expositiones Mathematicae 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Elektronische Datenverarbeitung all top 5 Fields 44 Partial differential equations (35-XX) 14 Quantum theory (81-XX) 8 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic geometry (14-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 336 times in 262 Documents Cited by ▼ Year ▼ Nash-Moser methods for the solution of quasilinear Schrödinger equations. Zbl 0935.35153Lange, Horst; Poppenberg, Markus; Teismann, Holger 64 1999 Solitary waves for quasilinear Schrödinger equations. Zbl 0611.35081Brüll, Ludger; Lange, Horst 55 1986 Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger-Poisson systems. Zbl 0808.35116Illner, Reinhard; Zweifel, Paul F.; Lange, Horst 47 1994 Time-dependent dissipation in nonlinear Schrödinger systems. Zbl 0823.35159Lange, Horst; Toomire, B.; Zweifel, Paul F. 26 1995 Rates of decay of a nonlocal beam equation. Zbl 0940.35191Lange, H.; Perla Menzala, G. 25 1997 Attractors for the Klein-Gordon-Schrödinger equation. Zbl 0949.35126Wang, Bixiang; Lange, Horst 17 1999 Stationary solutions of quasi-linear Schrödinger-Poisson systems. Zbl 0909.35133Illner, Reinhard; Kavian, O.; Lange, Horst 15 1998 Limitations on the control of Schrödinger equations. Zbl 1162.93316Illner, Reinhard; Lange, Horst; Teismann, Holger 13 2006 Stationary, oscillatory and solitary wave type solution of singular nonlinear Schrödinger equations. Zbl 0626.35083Brüll, L.; Lange, H. 13 1986 The existence of instationary flows in incompressible micropolar fluids. Zbl 0378.76009Lange, H. 12 1977 On quasi-linear Schrödinger-Poisson systems. Zbl 0886.35125Illner, Reinhard; Lange, Horst; Toomire, B.; Zweifel, Paul F. 10 1997 A discrete-velocity, stationary Wigner equation. Zbl 1019.82020Arnold, Anton; Lange, Horst; Zweifel, Paul F. 9 2000 The Schrödinger-Langevin equation: Special solutions and nonexistence of solitary waves. Zbl 0555.35123Brüll, L.; Lange, H. 9 1984 Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state. Zbl 1134.93008Lange, Horst; Teismann, Holger 8 2007 Coherent systems: a brief survey. with an appendix by H. Lange. Zbl 1187.14035Bradlow, S. B. 5 2009 Error estimates for Galerkin approximations to the periodic Schrödinger-Poisson system. Zbl 0864.65062Bohun, S.; Illner, Reinhard; Lange, Horst; Zweifel, Paul F. 5 1996 Local exact controllability of a one-dimensional nonlinear Schrödinger equation. Zbl 1326.35330Beauchard, Karine; Lange, Horst; Teismann, Holger 5 2015 Periodic solutions to the Wigner-Poisson equation. Zbl 0848.35106Lange, Horst; Zweifel, P. F. 4 1996 Dissipation in Wigner-Poisson systems. Zbl 0803.35116Lange, Horst; Zweifel, P. F. 4 1994 A kinetic model for vehicular traffic: Existence of stationary solutions. Zbl 0951.90013Illner, R.; Klar, A.; Lange, H.; Unterreiter, A.; Wegener, R. 4 1999 Regularity of the global attractor for the Klein-Gordon-Schrödinger equation. Zbl 0940.35039Lange, Horst; Wang, Bixiang 4 1999 Quantum BGK modes for the Wigner-Poisson system. Zbl 0869.35087Lange, Horst; Toomire, Bruce; Zweifel, P. F. 4 1996 Die Existenz von Lösungen der Gleichungen, welche die Strömung inkompressibler mikropolarer Flüssigkeiten beschreiben. Zbl 0332.76002Lange, H. 4 1976 The Schrödinger-Poisson eigenmatrix problem. Zbl 0893.35120Lange, Horst; Toomire, B.; Zweifel, P. F. 3 1996 Periodic and stationary solutions to the Schrödinger-Poisson and Wigner-Poisson systems. Zbl 0820.35107Kavian, O.; Lange, H.; Zweifel, P. F. 2 1994 A survey of Wigner-Poisson problems. Zbl 0826.35104Lange, Horst; Toomire, Bruce V.; Zweifel, Paul F. 2 1994 An overview of Schrödinger-Poisson problems. Zbl 0882.65121Lange, Horst; Toomire, B.; Zweifel, Paul F. 2 1995 On Dysthe’s nonlinear Schrödinger equation for deep water waves. Zbl 0998.76008Lange, Horst 2 2000 Nonlinear singular Schrödinger-type equations. Zbl 0931.35162Lange, Horst; Poppenberg, Markus; Teismann, Holger 2 1999 Die globale Lösbarkeit einer nichtlinearen Reaktionsgleichung. Zbl 0375.35032Lange, Horst 2 1977 A note on conservation laws. Zbl 0813.35109Lange, Horst; Toomire, Bruce; Zweifel, P. F. 1 1994 Periodic solutions of nonlinear Schrödinger equations. Zbl 0723.35074Kastenholz, Michael; Lange, Horst; Nieder, Dirk 1 1989 Anfangsrandwertprobleme für die Hodgkin-Huxley-Gleichungen. Zbl 0388.92004Lange, H. 1 1978 Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system. Zbl 0891.35153Lange, Horst; Zweifel, P. F. 1 1997 The original Schrödinger wave equation revisited. Zbl 0567.35022Bazley, Norman; Lange, Horst 1 1986 Two comments on nonlinear Schrödinger equations. Zbl 0639.35014Hadeler, K. P.; Lange, H. 1 1987 Abbildungssätze für nichtlineare monotone und holomorphe Operatoren. Zbl 0236.47059Lange, H. 1 1971 On nonlinear Schrödinger equations in the theory of quantum mechanical dissipative systems. Zbl 0595.35090Lange, H. 1 1985 Local exact controllability of a one-dimensional nonlinear Schrödinger equation. Zbl 1326.35330Beauchard, Karine; Lange, Horst; Teismann, Holger 5 2015 Coherent systems: a brief survey. with an appendix by H. Lange. Zbl 1187.14035Bradlow, S. B. 5 2009 Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state. Zbl 1134.93008Lange, Horst; Teismann, Holger 8 2007 Limitations on the control of Schrödinger equations. Zbl 1162.93316Illner, Reinhard; Lange, Horst; Teismann, Holger 13 2006 A discrete-velocity, stationary Wigner equation. Zbl 1019.82020Arnold, Anton; Lange, Horst; Zweifel, Paul F. 9 2000 On Dysthe’s nonlinear Schrödinger equation for deep water waves. Zbl 0998.76008Lange, Horst 2 2000 Nash-Moser methods for the solution of quasilinear Schrödinger equations. Zbl 0935.35153Lange, Horst; Poppenberg, Markus; Teismann, Holger 64 1999 Attractors for the Klein-Gordon-Schrödinger equation. Zbl 0949.35126Wang, Bixiang; Lange, Horst 17 1999 A kinetic model for vehicular traffic: Existence of stationary solutions. Zbl 0951.90013Illner, R.; Klar, A.; Lange, H.; Unterreiter, A.; Wegener, R. 4 1999 Regularity of the global attractor for the Klein-Gordon-Schrödinger equation. Zbl 0940.35039Lange, Horst; Wang, Bixiang 4 1999 Nonlinear singular Schrödinger-type equations. Zbl 0931.35162Lange, Horst; Poppenberg, Markus; Teismann, Holger 2 1999 Stationary solutions of quasi-linear Schrödinger-Poisson systems. Zbl 0909.35133Illner, Reinhard; Kavian, O.; Lange, Horst 15 1998 Rates of decay of a nonlocal beam equation. Zbl 0940.35191Lange, H.; Perla Menzala, G. 25 1997 On quasi-linear Schrödinger-Poisson systems. Zbl 0886.35125Illner, Reinhard; Lange, Horst; Toomire, B.; Zweifel, Paul F. 10 1997 Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system. Zbl 0891.35153Lange, Horst; Zweifel, P. F. 1 1997 Error estimates for Galerkin approximations to the periodic Schrödinger-Poisson system. Zbl 0864.65062Bohun, S.; Illner, Reinhard; Lange, Horst; Zweifel, Paul F. 5 1996 Periodic solutions to the Wigner-Poisson equation. Zbl 0848.35106Lange, Horst; Zweifel, P. F. 4 1996 Quantum BGK modes for the Wigner-Poisson system. Zbl 0869.35087Lange, Horst; Toomire, Bruce; Zweifel, P. F. 4 1996 The Schrödinger-Poisson eigenmatrix problem. Zbl 0893.35120Lange, Horst; Toomire, B.; Zweifel, P. F. 3 1996 Time-dependent dissipation in nonlinear Schrödinger systems. Zbl 0823.35159Lange, Horst; Toomire, B.; Zweifel, Paul F. 26 1995 An overview of Schrödinger-Poisson problems. Zbl 0882.65121Lange, Horst; Toomire, B.; Zweifel, Paul F. 2 1995 Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger-Poisson systems. Zbl 0808.35116Illner, Reinhard; Zweifel, Paul F.; Lange, Horst 47 1994 Dissipation in Wigner-Poisson systems. Zbl 0803.35116Lange, Horst; Zweifel, P. F. 4 1994 Periodic and stationary solutions to the Schrödinger-Poisson and Wigner-Poisson systems. Zbl 0820.35107Kavian, O.; Lange, H.; Zweifel, P. F. 2 1994 A survey of Wigner-Poisson problems. Zbl 0826.35104Lange, Horst; Toomire, Bruce V.; Zweifel, Paul F. 2 1994 A note on conservation laws. Zbl 0813.35109Lange, Horst; Toomire, Bruce; Zweifel, P. F. 1 1994 Periodic solutions of nonlinear Schrödinger equations. Zbl 0723.35074Kastenholz, Michael; Lange, Horst; Nieder, Dirk 1 1989 Two comments on nonlinear Schrödinger equations. Zbl 0639.35014Hadeler, K. P.; Lange, H. 1 1987 Solitary waves for quasilinear Schrödinger equations. Zbl 0611.35081Brüll, Ludger; Lange, Horst 55 1986 Stationary, oscillatory and solitary wave type solution of singular nonlinear Schrödinger equations. Zbl 0626.35083Brüll, L.; Lange, H. 13 1986 The original Schrödinger wave equation revisited. Zbl 0567.35022Bazley, Norman; Lange, Horst 1 1986 On nonlinear Schrödinger equations in the theory of quantum mechanical dissipative systems. Zbl 0595.35090Lange, H. 1 1985 The Schrödinger-Langevin equation: Special solutions and nonexistence of solitary waves. Zbl 0555.35123Brüll, L.; Lange, H. 9 1984 Anfangsrandwertprobleme für die Hodgkin-Huxley-Gleichungen. Zbl 0388.92004Lange, H. 1 1978 The existence of instationary flows in incompressible micropolar fluids. Zbl 0378.76009Lange, H. 12 1977 Die globale Lösbarkeit einer nichtlinearen Reaktionsgleichung. Zbl 0375.35032Lange, Horst 2 1977 Die Existenz von Lösungen der Gleichungen, welche die Strömung inkompressibler mikropolarer Flüssigkeiten beschreiben. Zbl 0332.76002Lange, H. 4 1976 Abbildungssätze für nichtlineare monotone und holomorphe Operatoren. Zbl 0236.47059Lange, H. 1 1971 all cited Publications top 5 cited Publications all top 5 Cited by 329 Authors 13 Liu, Jiaquan 13 Wang, Zhi-Qiang 11 Lange, Horst 9 Da Silva, Edcarlos Domingos 9 Deng, Yinbin 8 Chen, Jianhua 8 Chen, Jianqing 7 Liu, Xiangqing 7 Wang, Youjun 6 Cheng, Bitao 6 López, José Luis 6 Soler, Juan S. 6 Tang, Xianhua 6 Zhao, Caidi 6 Zweifel, Paul F. 5 Beauchard, Karine 5 Guo, Boling 5 Guo, Yuxia 5 Illner, Reinhard 5 Méhats, Florian 5 Peng, Shuangjie 5 Severo, Uberlandio Batista 5 Teismann, Holger 5 Toomire, Bruce V. 5 Wang, Jixiu 5 Wu, Xian 4 Dolbeault, Jean 4 Figueiredo, Giovany Malcher 4 Huang, Xianjiu 4 Li, Quanqing 4 Lu, Tiao 4 Nie, Jianjun 4 Poppenberg, Markus 4 Silva, Jefferson S. 4 Silva, Maxwell L. 3 Arnold, Anton 3 Brüll, Ludger 3 de S. Germano, Diogo 3 Ha, Seung-Yeal 3 Kavian, Otared 3 Li, Fuyi 3 Li, Zhouxin 3 Oliveira, José Carlos jun. 3 Selvitella, Alessandro 3 Siciliano, Gaetano 3 Vougalter, Vitali 3 Zhang, Jing 3 Zhang, Qian 3 Zhang, Yimin 2 Barbaroux, Jean-Marie 2 Ben Abdallah, Naoufel 2 Chambrion, Thomas 2 Chien, Cheng-Sheng 2 Dabaa, Amna 2 de Albuquerque, José Carlos 2 Furtado, Marcelo Fernandes 2 Goubet, Olivier 2 Jeng, B.-W. 2 Jiang, Haiyan 2 Jiang, Yaolin 2 Jing, Yongtao 2 Khaliq, Abdul Q. M. 2 Kim, Dohyun 2 Klar, Axel 2 Li, Anran 2 Li, Chunqiu 2 Li, Yongsheng 2 Liang, Zhanping 2 Ling, Pingying 2 Liu, Duchao 2 Łukaszewicz, Grzegorz 2 Mischler, Stéphane 2 Moameni, Abbas 2 Montejo-Gámez, Jesús 2 Nieto, Juanjo 2 Pinaud, Olivier 2 Rosier, Lionel 2 Ruviaro, Ricardo 2 Shao, Liuyang 2 Shen, Yaotian 2 Shuai, Wei 2 Sun, Rui 2 Sun, Zhangpeng 2 Wang, Bixiang 2 Wang, Yaqi 2 Watanabe, Tatsuya 2 Wegener, Raimund 2 Wei, Chongqing 2 Xiang, Changlin 2 Yamano, Takuya 2 Yan, Shusen 2 Yang, Yunbo 2 Zanchetta, Janaina Pedroso 2 Zhang, Bingyu 2 Zhang, Wei 2 Zhao, Leiga 2 Zhao, Xin 2 Zhou, Shengfan 2 Zhu, Xiaoli 1 Abdallah, Ahmed Y. ...and 229 more Authors all top 5 Cited in 101 Serials 20 Journal of Mathematical Physics 18 Journal of Mathematical Analysis and Applications 16 Journal of Differential Equations 9 Transport Theory and Statistical Physics 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Communications on Pure and Applied Analysis 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Applied Mathematics Letters 5 Communications in Partial Differential Equations 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 4 Computers & Mathematics with Applications 4 Discrete and Continuous Dynamical Systems 4 Complex Variables and Elliptic Equations 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Scientific Computing 3 SIAM Journal on Mathematical Analysis 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Advanced Nonlinear Studies 3 Nonlinear Analysis. Theory, Methods & Applications 2 Communications in Mathematical Physics 2 Reports on Mathematical Physics 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Physica D 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Numerical Algorithms 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Taiwanese Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Annales Henri Poincaré 2 Qualitative Theory of Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 Journal of Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 2 Networks and Heterogeneous Media 2 Mathematical Control and Related Fields 2 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Moscow University Computational Mathematics and Cybernetics 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Journal of Hyperbolic Differential Equations 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Advances in Nonlinear Analysis 1 Open Mathematics ...and 1 more Serials all top 5 Cited in 25 Fields 238 Partial differential equations (35-XX) 44 Quantum theory (81-XX) 37 Statistical mechanics, structure of matter (82-XX) 23 Numerical analysis (65-XX) 15 Systems theory; control (93-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Fluid mechanics (76-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operator theory (47-XX) 6 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year