Edit Profile Lange, Horst Compute Distance To: Compute Author ID: lange.horst Published as: Lange, H.; Lange, Horst Documents Indexed: 57 Publications since 1968 Reviewing Activity: 85 Reviews all top 5 Co-Authors 6 single-authored 14 Zweifel, Paul F. 8 Illner, Reinhard 7 Toomire, Bruce V. 6 Teismann, Holger 3 Brüll, Ludger 2 Kastenholz, Michael 2 Kavian, Otared 2 Nieder, Dirk 2 Poppenberg, Markus 2 Wang, Bixiang 1 Arnold, Anton 1 Bazley, Norman W. 1 Beauchard, Karine 1 Bohun, Sean 1 Dolbeault, Jean 1 Klar, Axel 1 Unterreiter, Andreas 1 Wegener, Raimund all top 5 Serials 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 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 Applicable Analysis 1 Mathematische Nachrichten 1 Portugaliae Mathematica 1 SIAM Journal on Control and Optimization 1 Communications in Partial Differential Equations 1 Expositiones Mathematicae 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations all top 5 Fields 35 Partial differential equations (35-XX) 13 Quantum theory (81-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 305 times in 236 Documents Cited by ▼ Year ▼ Nash-Moser methods for the solution of quasilinear Schrödinger equations. Zbl 0935.35153Lange, Horst; Poppenberg, Markus; Teismann, Holger 49 1999 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 45 1994 Solitary waves for quasilinear Schrödinger equations. Zbl 0611.35081Brüll, Ludger; Lange, Horst 39 1986 Time-dependent dissipation in nonlinear Schrödinger systems. Zbl 0823.35159Lange, Horst; Toomire, B.; Zweifel, Paul F. 21 1995 Rates of decay of a nonlocal beam equation. Zbl 0940.35191Lange, H.; Perla Menzala, G. 14 1997 Attractors for the Klein-Gordon-Schrödinger equation. Zbl 0949.35126Wang, Bixiang; Lange, Horst 13 1999 Limitations on the control of Schrödinger equations. Zbl 1162.93316Illner, Reinhard; Lange, Horst; Teismann, Holger 12 2006 Stationary, oscillatory and solitary wave type solution of singular nonlinear Schrödinger equations. Zbl 0626.35083Brüll, L.; Lange, H. 12 1986 The existence of instationary flows in incompressible micropolar fluids. Zbl 0378.76009Lange, H. 10 1977 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 A discrete-velocity, stationary Wigner equation. Zbl 1019.82020Arnold, Anton; Lange, Horst; Zweifel, Paul F. 8 2000 Stationary solutions of quasi-linear Schrödinger-Poisson systems. Zbl 0909.35133Illner, Reinhard; Kavian, O.; Lange, Horst 8 1998 On quasi-linear Schrödinger-Poisson systems. Zbl 0886.35125Illner, Reinhard; Lange, Horst; Toomire, B.; Zweifel, Paul F. 6 1997 Quantum BGK modes for the Wigner-Poisson system. Zbl 0869.35087Lange, Horst; Toomire, Bruce; Zweifel, P. F. 4 1996 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 Die Existenz von Lösungen der Gleichungen, welche die Strömung inkompressibler mikropolarer Flüssigkeiten beschreiben. Zbl 0332.76002Lange, H. 4 1976 Local exact controllability of a one-dimensional nonlinear Schrödinger equation. Zbl 1326.35330Beauchard, Karine; Lange, Horst; Teismann, Holger 3 2015 Regularity of the global attractor for the Klein-Gordon-Schrödinger equation. Zbl 0940.35039Lange, Horst; Wang, Bixiang 3 1999 A kinetic model for vehicular traffic: Existence of stationary solutions. Zbl 0951.90013Illner, R.; Klar, A.; Lange, H.; Unterreiter, A.; Wegener, R. 3 1999 Error estimates for Galerkin approximations to the periodic Schrödinger-Poisson system. Zbl 0864.65062Bohun, S.; Illner, Reinhard; Lange, Horst; Zweifel, Paul F. 3 1996 A survey of Wigner-Poisson problems. Zbl 0826.35104Lange, Horst; Toomire, Bruce V.; Zweifel, Paul F. 3 1994 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 The Schrödinger-Poisson eigenmatrix problem. Zbl 0893.35120Lange, Horst; Toomire, B.; Zweifel, P. F. 2 1996 An overview of Schrödinger-Poisson problems. Zbl 0882.65121Lange, Horst; Toomire, B.; Zweifel, Paul F. 2 1995 Periodic and stationary solutions to the Schrödinger-Poisson and Wigner-Poisson systems. Zbl 0820.35107Kavian, O.; Lange, H.; Zweifel, P. F. 2 1994 Die globale Lösbarkeit einer nichtlinearen Reaktionsgleichung. Zbl 0375.35032Lange, Horst 2 1977 Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system. Zbl 0891.35153Lange, Horst; Zweifel, P. F. 1 1997 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 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 Anfangsrandwertprobleme für die Hodgkin-Huxley-Gleichungen. Zbl 0388.92004Lange, H. 1 1978 Abbildungssätze für nichtlineare monotone und holomorphe Operatoren. Zbl 0236.47059Lange, H. 1 1971 Local exact controllability of a one-dimensional nonlinear Schrödinger equation. Zbl 1326.35330Beauchard, Karine; Lange, Horst; Teismann, Holger 3 2015 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 12 2006 A discrete-velocity, stationary Wigner equation. Zbl 1019.82020Arnold, Anton; Lange, Horst; Zweifel, Paul F. 8 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 49 1999 Attractors for the Klein-Gordon-Schrödinger equation. Zbl 0949.35126Wang, Bixiang; Lange, Horst 13 1999 Regularity of the global attractor for the Klein-Gordon-Schrödinger equation. Zbl 0940.35039Lange, Horst; Wang, Bixiang 3 1999 A kinetic model for vehicular traffic: Existence of stationary solutions. Zbl 0951.90013Illner, R.; Klar, A.; Lange, H.; Unterreiter, A.; Wegener, R. 3 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 8 1998 Rates of decay of a nonlocal beam equation. Zbl 0940.35191Lange, H.; Perla Menzala, G. 14 1997 On quasi-linear Schrödinger-Poisson systems. Zbl 0886.35125Illner, Reinhard; Lange, Horst; Toomire, B.; Zweifel, Paul F. 6 1997 Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system. Zbl 0891.35153Lange, Horst; Zweifel, P. F. 1 1997 Quantum BGK modes for the Wigner-Poisson system. Zbl 0869.35087Lange, Horst; Toomire, Bruce; Zweifel, P. F. 4 1996 Periodic solutions to the Wigner-Poisson equation. Zbl 0848.35106Lange, Horst; Zweifel, P. F. 4 1996 Error estimates for Galerkin approximations to the periodic Schrödinger-Poisson system. Zbl 0864.65062Bohun, S.; Illner, Reinhard; Lange, Horst; Zweifel, Paul F. 3 1996 The Schrödinger-Poisson eigenmatrix problem. Zbl 0893.35120Lange, Horst; Toomire, B.; Zweifel, P. F. 2 1996 Time-dependent dissipation in nonlinear Schrödinger systems. Zbl 0823.35159Lange, Horst; Toomire, B.; Zweifel, Paul F. 21 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 45 1994 Dissipation in Wigner-Poisson systems. Zbl 0803.35116Lange, Horst; Zweifel, P. F. 4 1994 A survey of Wigner-Poisson problems. Zbl 0826.35104Lange, Horst; Toomire, Bruce V.; Zweifel, Paul F. 3 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 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 39 1986 Stationary, oscillatory and solitary wave type solution of singular nonlinear Schrödinger equations. Zbl 0626.35083Brüll, L.; Lange, H. 12 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. 10 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 301 Authors 13 Liu, Jiaquan 13 Wang, Zhi-Qiang 11 Lange, Horst 9 Deng, Yinbin 7 Da Silva, Edcarlos Domingos 7 Liu, Xiangqing 7 Wang, Youjun 7 Zweifel, Paul F. 6 Chen, Jianqing 6 Soler, Juan S. 6 Wu, Xian 5 Beauchard, Karine 5 Guo, Boling 5 Guo, Yuxia 5 Illner, Reinhard 5 Méhats, Florian 5 Peng, Shuangjie 5 Tang, Xianhua 5 Teismann, Holger 5 Toomire, Bruce V. 5 Wang, Jixiu 5 Zhao, Caidi 4 Chen, Jianhua 4 Cheng, Bitao 4 Dolbeault, Jean 4 López, José Luis 4 Poppenberg, Markus 4 Selvitella, Alessandro 4 Silva, Maxwell L. 3 Arnold, Anton 3 Brüll, Ludger 3 Jorge da Silva, Marcio Antonio 3 Kavian, Otared 3 Li, Fuyi 3 Li, Quanqing 3 Lu, Tiao 3 Narciso, Vando 3 Nie, Jianjun 3 Vougalter, Vitali 2 Barbaroux, Jean-Marie 2 Ben Abdallah, Naoufel 2 Cavalcanti, Marcelo Moreira 2 Chambrion, Thomas 2 Chen, Zhimin 2 Chien, Cheng-Sheng 2 Dabaa, Amna 2 de Albuquerque, José Carlos 2 Dong, Boqing 2 Figueiredo, Giovany Malcher 2 Furtado, Marcelo Fernandes 2 Goubet, Olivier 2 Ha, Seung-Yeal 2 Jeng, B.-W. 2 Khaliq, Abdul Q. M. 2 Klar, Axel 2 Li, Chunqiu 2 Li, Yongsheng 2 Li, Zhouxin 2 Liang, Zhanping 2 López, J. Lafuente 2 Łukaszewicz, Grzegorz 2 Mischler, Stéphane 2 Moameni, Abbas 2 Montejo-Gámez, Jesús 2 Nieto, Juanjo 2 Pinaud, Olivier 2 Rosier, Lionel 2 Severo, Uberlandio Batista 2 Shen, Yaotian 2 Shuai, Wei 2 Siciliano, Gaetano 2 Silva, Jefferson S. 2 Soler, J. M. P. 2 Sun, Zhangpeng 2 Wang, Bixiang 2 Wang, Yaqi 2 Wegener, Raimund 2 Xiang, Changlin 2 Yamano, Takuya 2 Yan, Shusen 2 Zhang, Bingyu 2 Zhang, Yimin 2 Zhao, Chunxiang 2 Zhao, Xin 2 Zhong, Chengkui 2 Zhou, Shengfan 2 Zhu, Xiaoli 1 Abdallah, Ahmed Y. 1 Adomian, George 1 Alazard, Thomas 1 Almeida, A. F. 1 Alves, Claudianor Oliveira 1 An, Yucheng 1 Antonelli, Paolo 1 Arosio, Alberto 1 Arriola, E. Ruiz 1 Bae, Gi-Chan 1 Bassalo, J. M. F. 1 Batra, Romesh C. 1 Bechouche, Philippe ...and 201 more Authors all top 5 Cited in 92 Serials 19 Journal of Mathematical Analysis and Applications 19 Journal of Mathematical Physics 16 Journal of Differential Equations 9 Mathematical Methods in the Applied Sciences 9 Transport Theory and Statistical Physics 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Discrete and Continuous Dynamical Systems 5 Applied Mathematics Letters 5 Communications in Partial Differential Equations 5 Communications on Pure and Applied Analysis 4 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 3 Reports on Mathematical Physics 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematical and Computer Modelling 3 Advanced Nonlinear Studies 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Acta Mathematica Sinica. English Series 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 2 Mathematical Control and Related Fields 2 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 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 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 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 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Multiscale Modeling & Simulation 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Advances in Mathematical Physics 1 Advances in Numerical Analysis 1 Science China. Mathematics 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis all top 5 Cited in 26 Fields 213 Partial differential equations (35-XX) 42 Quantum theory (81-XX) 35 Statistical mechanics, structure of matter (82-XX) 22 Fluid mechanics (76-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Numerical analysis (65-XX) 15 Systems theory; control (93-XX) 11 Mechanics of deformable solids (74-XX) 9 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Optics, electromagnetic theory (78-XX) 7 Calculus of variations and optimal control; optimization (49-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 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-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 Biology and other natural sciences (92-XX) Citations by Year