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 Documents Indexed: 27 Publications since 1992
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Co-Authors

 3 single-authored 11 Kiessling, Michael Karl-Heinz 5 Stalker, John G. 4 Planchon, Fabrice 4 Shatah, Jalal 2 Burq, Nicolas 2 Christodoulou, Demetrios 2 Toprak, Ebru 1 Burtscher, Annegret Y. 1 Cazenave, Thierry 1 Guo, Yan 1 Lienert, Matthias 1 Schlatter, Andreas E. 1 Struwe, Michael
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Serials

 4 Journal of Mathematical Physics 3 Communications on Pure and Applied Mathematics 2 Classical and Quantum Gravity 2 Indiana University Mathematics Journal 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Journal of Modern Physics D 2 Discrete and Continuous Dynamical Systems 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Physics A: Mathematical and Theoretical
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Fields

 12 Relativity and gravitational theory (83-XX) 10 Partial differential equations (35-XX) 8 Quantum theory (81-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Optics, electromagnetic theory (78-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)

Citations contained in zbMATH Open

23 Publications have been cited 495 times in 306 Documents Cited by Year
Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024
2003
Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014
2004
On the regularity of spherically symmetric wave maps. Zbl 0744.58071
1993
On the Cauchy problem for equivariant wave maps. Zbl 0811.58059
1994
Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds. Zbl 0769.58015
1992
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Zbl 0918.58074
1998
$$L^p$$ estimates for the wave equation with the inverse-square potential. Zbl 1031.35092
2003
Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics. Zbl 0973.76100
1999
On the asymptotic behavior of spherically symmetric wave maps. Zbl 0791.58105
1993
Dispersive estimate for the wave equation with the inverse-square potential. Zbl 1047.35081
2003
Relativistic and nonrelativistic elastodynamics with small shear strains. Zbl 0930.74008
1998
Global existence of the equivariant Yang-Mills heat flow in four space dimensions. Zbl 0938.58007
1998
On the static spacetime of a single point charge. Zbl 1216.83020
2011
On the relativistic Vlasov-Poisson system. Zbl 1173.35008
Kiessling, M. K.-H.; Tahvildar-Zadeh, A. S.
2008
Scalar waves on a naked-singularity background. Zbl 1078.83029
2004
On the quantum-mechanics of a single photon. Zbl 1404.81340
2018
On the stability of stationary wave maps. Zbl 0877.58054
1997
A novel quantum-mechanical interpretation of the Dirac equation. Zbl 1456.81014
Kiessling, M. K-H; Tahvildar-Zadeh, A. S.
2016
The Dirac point electron in zero-gravity Kerr-Newman spacetime. Zbl 1339.81040
Kiessling, M. K.-H.; Tahvildar-Zadeh, A. S.
2015
On a zero-gravity limit of the Kerr-Newman spacetimes and their electromagnetic fields. Zbl 1315.83034
2015
A Lorentz-covariant interacting electron-photon system in one space dimension. Zbl 1456.81260
2020
The Einstein-Infeld-Hoffmann legacy in mathematical relativity. I: The classical motion of charged point particles. Zbl 1430.78002
2019
On general-relativistic hydrogen and hydrogenic ions. Zbl 1455.83009
2020
A Lorentz-covariant interacting electron-photon system in one space dimension. Zbl 1456.81260
2020
On general-relativistic hydrogen and hydrogenic ions. Zbl 1455.83009
2020
The Einstein-Infeld-Hoffmann legacy in mathematical relativity. I: The classical motion of charged point particles. Zbl 1430.78002
2019
On the quantum-mechanics of a single photon. Zbl 1404.81340
2018
A novel quantum-mechanical interpretation of the Dirac equation. Zbl 1456.81014
Kiessling, M. K-H; Tahvildar-Zadeh, A. S.
2016
The Dirac point electron in zero-gravity Kerr-Newman spacetime. Zbl 1339.81040
Kiessling, M. K.-H.; Tahvildar-Zadeh, A. S.
2015
On a zero-gravity limit of the Kerr-Newman spacetimes and their electromagnetic fields. Zbl 1315.83034
2015
On the static spacetime of a single point charge. Zbl 1216.83020
2011
On the relativistic Vlasov-Poisson system. Zbl 1173.35008
Kiessling, M. K.-H.; Tahvildar-Zadeh, A. S.
2008
Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014
2004
Scalar waves on a naked-singularity background. Zbl 1078.83029
2004
Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024
2003
$$L^p$$ estimates for the wave equation with the inverse-square potential. Zbl 1031.35092
2003
Dispersive estimate for the wave equation with the inverse-square potential. Zbl 1047.35081
2003
Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics. Zbl 0973.76100
1999
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Zbl 0918.58074
1998
Relativistic and nonrelativistic elastodynamics with small shear strains. Zbl 0930.74008
1998
Global existence of the equivariant Yang-Mills heat flow in four space dimensions. Zbl 0938.58007
1998
On the stability of stationary wave maps. Zbl 0877.58054
1997
On the Cauchy problem for equivariant wave maps. Zbl 0811.58059
1994
On the regularity of spherically symmetric wave maps. Zbl 0744.58071
1993
On the asymptotic behavior of spherically symmetric wave maps. Zbl 0791.58105
1993
Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds. Zbl 0769.58015
1992
all top 5

Cited by 316 Authors

 12 Kiessling, Michael Karl-Heinz 12 Tahvildar-Zadeh, A. Shadi 11 Kenig, Carlos Eduardo 10 Krieger, Joachim 9 Donninger, Roland 9 Mizutani, Haruya 9 Zhang, Junyong 9 Zheng, Jiqiang 8 Fanelli, Luca 8 Merle, Frank 7 Tataru, Daniel 6 D’Ancona, Piero 6 Duyckaerts, Thomas 6 Lawrie, Andrew G. W. 6 Struwe, Michael 6 Zheng, Yuxi 6 Zhou, Yi 5 Cacciafesta, Federico 5 Dinh, Van Duong 5 Feireisl, Eduard 5 Glogić, Irfan 5 Lei, Zhen 5 Suzuki, Toshiyuki 5 Zheng, Bowen 4 Geng, Yongcai 4 Georgiev, Vladimir S. 4 Miao, Changxing 4 Raphael, Pierre 4 Rendall, Alan D. 4 Rodnianski, Igor 4 Schlag, Wilhelm 4 Sterbenz, Jacob 4 The Anh Bui 4 Visciglia, Nicola 4 Wei, Changhua 4 Yao, Xiaohua 4 Young, Brent 3 Andersson, Lars Åke 3 Barceló, Juan Antonio 3 Beceanu, Marius 3 Brzeźniak, Zdzisław 3 Costin, Ovidiu 3 Côte, Raphaël 3 Garcia, Andoni 3 Germain, Pierre 3 Guo, Yan 3 Ionescu, Alexandru D. 3 Klainerman, Sergiu 3 Metcalfe, Jason L. 3 Natário, José 3 Ondreját, Martin 3 Pausader, Benoît 3 Pierfelice, Vittoria 3 Shahshahani, Sohrab 3 Speck, Jared 3 Tohaneanu, Mihai 3 Vega, Luis 3 Waldron, Alex 3 Yang, Kai 3 Zhai, Jian 3 Zhang, Ping 2 Aichelburg, Peter C. 2 Austin Ford, G. 2 Biernat, Paweł 2 Bizoń, Piotr 2 Burtscher, Annegret Y. 2 Cai, Yuan 2 Chen, Geng 2 Chen, Haoyang 2 Chen, Peng 2 Chiodaroli, Elisabetta 2 Deng, Qingquan 2 Ding, Yong 2 Dodson, Benjamin G. 2 Duong, Xuan Thinh 2 Elskens, Yves 2 Felli, Veronica 2 Fontelos López, Marco Antonio 2 Gao, Xiaofen 2 Goldberg, Michael Joseph 2 Gudapati, Nishanth 2 Guo, Boling 2 Gustafson, Stephen J. 2 Hong, Younghun 2 Hu, Xianpeng 2 Isenberg, James A. 2 Jendrej, Jacek 2 Killip, Rowan 2 Kim, Seongyeon 2 Li, Yachun 2 Lienert, Matthias 2 Lindblad, Hans 2 Müller, Stefan 2 Murphy, Jason 2 Nakanishi, Kenji 2 Nickel, Lukas 2 Primo, Ana R. M. 2 Ruiz, Alberto 2 Schörkhuber, Birgit 2 Seo, Ihyeok ...and 216 more Authors
all top 5

Cited in 85 Serials

 26 Communications in Mathematical Physics 23 Journal of Differential Equations 18 Journal of Functional Analysis 16 Journal of Mathematical Analysis and Applications 15 Journal of Mathematical Physics 14 Communications in Partial Differential Equations 8 Duke Mathematical Journal 7 Communications on Pure and Applied Mathematics 7 Advances in Mathematics 7 Discrete and Continuous Dynamical Systems 6 Transactions of the American Mathematical Society 6 Annales Henri Poincaré 6 Journal of Hyperbolic Differential Equations 5 Mathematische Annalen 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Communications on Pure and Applied Analysis 4 Archive for Rational Mechanics and Analysis 4 Inventiones Mathematicae 4 Mathematische Zeitschrift 4 Memoirs of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Calculus of Variations and Partial Differential Equations 4 Living Reviews in Relativity 4 Annals of PDE 3 Classical and Quantum Gravity 3 General Relativity and Gravitation 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chinese Annals of Mathematics. Series B 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Mathematical Analysis 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 2 Applicable Analysis 2 Letters in Mathematical Physics 2 Physica D 2 Revista Matemática Iberoamericana 2 Geometric and Functional Analysis. GAFA 2 Annals of Mathematics. Second Series 2 Nonlinear Analysis. Real World Applications 2 Milan Journal of Mathematics 2 Analysis & PDE 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Nonlinearity 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 International Journal of Modern Physics D 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Mathematical Inequalities & Applications 1 Gravitation & Cosmology 1 Journal of Evolution Equations 1 Journal of the Australian Mathematical Society 1 Portugaliae Mathematica. Nova Série 1 Foundations of Physics 1 Oberwolfach Reports 1 Complex Variables and Elliptic Equations 1 Japanese Journal of Mathematics. 3rd Series 1 Journal of Spectral Theory 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Evolution Equations and Control Theory 1 Séminaire Laurent Schwartz. EDP et Applications
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Cited in 33 Fields

 258 Partial differential equations (35-XX) 44 Global analysis, analysis on manifolds (58-XX) 42 Relativity and gravitational theory (83-XX) 38 Quantum theory (81-XX) 28 Fluid mechanics (76-XX) 23 Operator theory (47-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Differential geometry (53-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 6 Mechanics of particles and systems (70-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)