# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 57 Publications since 1985, including 2 Books Reviewing Activity: 219 Reviews
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#### Co-Authors

 40 single-authored 3 Véron, Laurent 2 Bentrad, Ali 2 Littman, Walter 2 Olver, Peter John 2 Smoller, Joel Alan 1 Brézis, Haïm 1 Cabart, Gilles 1 Isenberg, James A. 1 Jager, Lisette 1 Kumar, Arun M. 1 Rendall, Alan D. 1 Srinivasan, Gopala Krishna 1 Tannenbaum, Allen Robert 1 Yezzi, Anthony jun.
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#### Serials

 4 Historia Mathematica 4 Annales de la Fondation Louis de Broglie 3 Communications in Partial Differential Equations 3 Journal of Physics A: Mathematical and General 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Houston Journal of Mathematics 2 Nonlinearity 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Gaṇita-Bhāratī 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Communications in Contemporary Mathematics 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Manuscripta Mathematica 1 Studies in Applied Mathematics 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Pure and Applied Mathematics, Marcel Dekker 1 Evolution Equations and Control Theory 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 37 Partial differential equations (35-XX) 6 History and biography (01-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Relativity and gravitational theory (83-XX) 5 Geometry (51-XX) 5 Differential geometry (53-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 544 times in 415 Documents Cited by Year
Singular solutions of the $$p$$-Laplace equation. Zbl 0592.35031
1986
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023
1992
1997
Blow-up surfaces for nonlinear wave equations. I. Zbl 0803.35093
1993
Blow-up surfaces for nonlinear wave equations. II. Zbl 0803.35094
1993
Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029
Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun.
1996
Analytic description of singularities in Gowdy spacetimes. Zbl 0949.83050
1998
On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027
1990
Nonlinear wave equations. Zbl 0845.35001
1996
Asymptotic behavior in polarized $$T^ 2$$-symmetric vacuum space-times. Zbl 1061.83512
1999
Boundary blow-up and degenerate equations. Zbl 1110.35020
2004
The blow-up problem for exponential nonlinearities. Zbl 0846.35083
1996
On a conjecture of Fefferman and Graham. Zbl 1066.53083
2004
Existence of solitary waves for water-wave models. Zbl 0906.76012
1997
Fuchsian equations in Sobolev spaces and blow-up. Zbl 0863.58067
1996
Breather solutions of the nonlinear wave equation. Zbl 0765.35029
1991
The structure of WTC expansions and applications. Zbl 0830.35108
1995
Quasilinear problems with singularities. Zbl 0595.35024
1987
Boundary behavior in the Loewner-Nirenberg problem. Zbl 1086.35019
2005
Fuchsian reduction. Applications to geometry, cosmology and mathematical physics. Zbl 1169.35002
2007
Singular solutions of the p-Laplace equation. Zbl 0653.35018
1987
Stability of blow-up patterns for nonlinear wave equations. Zbl 0956.35016
2000
A linear Fuchsian equation with variable indices. Zbl 1030.35004
2003
WTC expansions and nonintegrable equations. Zbl 1020.34006
Kichenassamy, S.
1999
Hypergeometric functions and singular solutions of wave equations with Lorentz-invariant potential. Zbl 1178.35271
2009
Control of blow-up singularities for nonlinear wave equations. Zbl 1274.93034
2013
Soliton stars in the breather limit. Zbl 1156.83304
2008
Brahmagupta’s derivation of the area of a cyclic quadrilateral. Zbl 1193.01024
2010
Recent progress on boundary blow up. Zbl 1085.35016
2005
Instability of pole singularities for the Chazy equation. Zbl 0928.34007
1998
Compactness theorems for differential forms. Zbl 0649.58002
Kichenassamy, S.
1989
Improving Hölder’s inequality. Zbl 1213.26027
2010
Nonlinear diffusions and hyperbolic smoothing for edge enhancement. Zbl 0851.68121
1996
Smoothness of hyperbolic radius. (Régularité du rayon hyperbolique.) Zbl 1188.35073
2004
Renormalized variational principles and Hardy-type inequalities. Zbl 1212.35122
2006
Baudhāyana’s rule for the quadrature of the circle. Zbl 1095.01005
2006
Local index of potential operators of monotone type. Zbl 0717.47026
1990
Continued proportions and Tartaglia’s solution of cubic equations. Zbl 1330.01023
2015
Singularités isolées de l’équation $$div(| \nabla u| ^{p- 2}\nabla u)=0$$. (Isolated singularities for the equation $$div(| \nabla u| ^{p-2}\nabla u)=0)$$. Zbl 0609.35037
1985
Continued proportions and Tartaglia’s solution of cubic equations. Zbl 1330.01023
2015
Control of blow-up singularities for nonlinear wave equations. Zbl 1274.93034
2013
Brahmagupta’s derivation of the area of a cyclic quadrilateral. Zbl 1193.01024
2010
Improving Hölder’s inequality. Zbl 1213.26027
2010
Hypergeometric functions and singular solutions of wave equations with Lorentz-invariant potential. Zbl 1178.35271
2009
Soliton stars in the breather limit. Zbl 1156.83304
2008
Fuchsian reduction. Applications to geometry, cosmology and mathematical physics. Zbl 1169.35002
2007
Renormalized variational principles and Hardy-type inequalities. Zbl 1212.35122
2006
Baudhāyana’s rule for the quadrature of the circle. Zbl 1095.01005
2006
Boundary behavior in the Loewner-Nirenberg problem. Zbl 1086.35019
2005
Recent progress on boundary blow up. Zbl 1085.35016
2005
Boundary blow-up and degenerate equations. Zbl 1110.35020
2004
On a conjecture of Fefferman and Graham. Zbl 1066.53083
2004
Smoothness of hyperbolic radius. (Régularité du rayon hyperbolique.) Zbl 1188.35073
2004
A linear Fuchsian equation with variable indices. Zbl 1030.35004
2003
Stability of blow-up patterns for nonlinear wave equations. Zbl 0956.35016
2000
Asymptotic behavior in polarized $$T^ 2$$-symmetric vacuum space-times. Zbl 1061.83512
1999
WTC expansions and nonintegrable equations. Zbl 1020.34006
Kichenassamy, S.
1999
Analytic description of singularities in Gowdy spacetimes. Zbl 0949.83050
1998
Instability of pole singularities for the Chazy equation. Zbl 0928.34007
1998
1997
Existence of solitary waves for water-wave models. Zbl 0906.76012
1997
Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029
Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun.
1996
Nonlinear wave equations. Zbl 0845.35001
1996
The blow-up problem for exponential nonlinearities. Zbl 0846.35083
1996
Fuchsian equations in Sobolev spaces and blow-up. Zbl 0863.58067
1996
Nonlinear diffusions and hyperbolic smoothing for edge enhancement. Zbl 0851.68121
1996
The structure of WTC expansions and applications. Zbl 0830.35108
1995
Blow-up surfaces for nonlinear wave equations. I. Zbl 0803.35093
1993
Blow-up surfaces for nonlinear wave equations. II. Zbl 0803.35094
1993
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023
1992
Breather solutions of the nonlinear wave equation. Zbl 0765.35029
1991
On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027
1990
Local index of potential operators of monotone type. Zbl 0717.47026
1990
Compactness theorems for differential forms. Zbl 0649.58002
Kichenassamy, S.
1989
Quasilinear problems with singularities. Zbl 0595.35024
1987
Singular solutions of the p-Laplace equation. Zbl 0653.35018
1987
Singular solutions of the $$p$$-Laplace equation. Zbl 0592.35031
1986
Singularités isolées de l’équation $$div(| \nabla u| ^{p- 2}\nabla u)=0$$. (Isolated singularities for the equation $$div(| \nabla u| ^{p-2}\nabla u)=0)$$. Zbl 0609.35037
1985
all top 5

#### Cited by 540 Authors

 14 Kichenassamy, Satyanad 13 Mikula, Karol 12 Véron, Laurent 10 Wazwaz, Abdul-Majid Abdul-Rahman 10 Zaag, Hatem 8 Guo, Zongming 7 Bidaut-Veron, Marie-Françoise 7 Rendall, Alan D. 6 Guidotti, Patrick Q. 6 Merle, Frank 6 Yang, Zuodong 6 Zhang, Qihu 5 Beyer, Florian 5 Champneys, Alan R. 5 Coclite, Giuseppe Maria 5 Cui, Shangbin 5 Di Ruvo, Lorenzo 5 Gobbino, Massimo 5 Hamza, Mohamed Ali 5 Isenberg, James A. 4 Bellettini, Giovanni 4 Bentrad, Ali 4 Kenig, Carlos Eduardo 4 Kim, Seonghak 4 Shen, Weiming 4 Speck, Jared 3 Ames, Ellery 3 Borghol, Rouba 3 Chambolle, Antonin 3 Coley, Alan Albert 3 Daripa, Prabir K. 3 de Souza, Manassés 3 Fournodavlos, Grigorios 3 García-Huidobro, Marta 3 Ghisi, Marina 3 Han, Qing 3 Handlovičová, Angela 3 Hynd, Ryan 3 Kollár, Michal 3 Martel, Yvan 3 Novaga, Matteo 3 Peyriéras, Nadine 3 Ringström, Hans 3 Tao, Shuangping 3 Urbán, Jozef 3 Yamane, Hideshi 3 Yan, Baisheng 3 Yang, Jianke 3 Yang, Yunyan 2 Ambroz, Martin 2 Aronsson, Gunnar 2 Azaiez, Asma 2 Belahmidi, Abdelmounim 2 Berger, Beverly K. 2 Bryan, Kurt M. 2 Burde, Georgy I. 2 Cazenave, Thierry 2 Chen, Wengu 2 Chruściel, Piotr Tadeusz 2 Cîrstea, Florica-Corina Şt. 2 Colesanti, Andrea 2 Čunderliḱ, Róbert 2 Dash, Ranjan K. 2 Deng, Donggao 2 Do Ó, João M. Bezerra 2 Enciso, Alberto 2 Enright, Wayne H. 2 Esedoglu, Selim 2 Esposito, Pierpaolo 2 Gan, Zaihui 2 Godin, Paul 2 Goriely, Alain 2 Gottlieb, James J. 2 Gout, Christian 2 Guedda, Mohammed 2 Hamdi, Salah 2 Huo, Zhaohui 2 Jarolímek, Ivan 2 Jazar, Mustapha 2 Jiang, Xumin 2 Kerker, Mohamed Amine 2 Kilpeläinen, Tero 2 Kim, Junseok 2 Le Guyader, Carole 2 Leach, Jannie A. 2 LeFloch, Philippe Gerard 2 Leistner, Thomas 2 Li, Yibao 2 Lieberman, Gary M. 2 Liebling, Steven L. 2 Longo, Kate 2 Ma, Shiguang 2 Maiseli, Baraka Jacob 2 Muñoz, Claudio 2 Naumkin, Pavel Ivanovich 2 Nguyễn Văn Hoàng 2 Oliynyk, Todd Andrew 2 Olver, Peter John 2 Olvera-Santamaría, J. Arturo 2 Palenzuela, Carlos ...and 440 more Authors
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#### Cited in 149 Serials

 30 Journal of Differential Equations 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Computation 14 Journal of Functional Analysis 11 Physica D 10 Calculus of Variations and Partial Differential Equations 9 Communications in Mathematical Physics 9 Communications in Partial Differential Equations 9 Living Reviews in Relativity 8 Applicable Analysis 7 Advances in Mathematics 7 Transactions of the American Mathematical Society 7 Acta Mathematica Sinica. English Series 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Physics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Nonlinear Analysis. Theory, Methods & Applications 5 Applied Numerical Mathematics 5 Journal of Mathematical Imaging and Vision 4 Communications on Pure and Applied Mathematics 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 3 Computers & Mathematics with Applications 3 General Relativity and Gravitation 3 Journal d’Analyse Mathématique 3 Mathematical Methods in the Applied Sciences 3 Wave Motion 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Potential Analysis 3 Applied Mathematics. Series B (English Edition) 3 Communications in Nonlinear Science and Numerical Simulation 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Hyperbolic Differential Equations 3 Complex Variables and Elliptic Equations 3 SIAM Journal on Imaging Sciences 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis and Mathematical Physics 2 Classical and Quantum Gravity 2 Information Processing Letters 2 Journal of Computational Physics 2 Journal of Geometry and Physics 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Studies in Applied Mathematics 2 Annals of Global Analysis and Geometry 2 Acta Mathematicae Applicatae Sinica. English Series 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Numerical Algorithms 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Mathematical Problems in Engineering 2 Chaos 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Journal of Nonlinear Mathematical Physics 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Advances in Nonlinear Analysis 1 Acta Mechanica 1 Analysis Mathematica 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Calcolo 1 Computing 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan 1 Kybernetika 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Quaestiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling ...and 49 more Serials
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#### Cited in 46 Fields

 311 Partial differential equations (35-XX) 41 Numerical analysis (65-XX) 39 Relativity and gravitational theory (83-XX) 37 Information and communication theory, circuits (94-XX) 36 Computer science (68-XX) 33 Fluid mechanics (76-XX) 29 Differential geometry (53-XX) 27 Dynamical systems and ergodic theory (37-XX) 18 Potential theory (31-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Biology and other natural sciences (92-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 8 Real functions (26-XX) 6 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Optics, electromagnetic theory (78-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Functions of a complex variable (30-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX)