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Berestycki, Henri

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Author ID: berestycki.henri Recent zbMATH articles by "Berestycki, Henri"
Published as: Berestycki, Henri; Berestycki, H.
Homepage: http://cams.ehess.fr/henri-berestycki/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Documents Indexed: 165 Publications since 1976, including 7 Books
all top 5

Co-Authors

13 single-authored
21 Nirenberg, Louis
19 Hamel, François
16 Rossi, Luca
12 Lions, Pierre-Louis
10 Roquejoffre, Jean-Michel
9 Larrouturou, Bernard
6 Sivashinsky, Gregory I.
5 Bahri, Abbas
5 Caffarelli, Luis Ángel
5 Lasry, Jean-Michel
5 Nadal, Jean-Pierre
5 Ryzhik, Lenya
5 Wei, Juncheng
4 Brézis, Haïm
4 Capuzzo Dolcetta, Italo
4 Hilhorst, Danielle
4 Kamin, Shoshana
4 Merle, Frank
4 Mimura, Masayasu
4 Nadirashvili, Nikolai S.
4 Pakdaman, Khashayar
4 Ruf, Bernhard
4 Varadhan, S. R. Srinivasa
3 Bonnet, Alexis
3 Busca, Jérôme
3 Esteban, Maria J.
3 Florent, Igor
3 Kagan, L.
3 Mancini, Giovanni
3 Monneau, Régis
3 Nadin, Grégoire
3 Nicolaenko, Basil
3 Pacella, Filomena
3 Peletier, Lambertus Adrianus
3 Rodriguez, Nancy Y.
3 Roques, Lionel J.
3 Scheurer, Bruno
2 Bellomo, Nicola
2 Bertsch, Michiel
2 Brezzi, Franco
2 Browder, Felix Earl
2 Chapuisat, Guillemette
2 Coron, Jean-Michel
2 Coville, Jerome
2 Ducasse, Romain
2 Kiselev, Alexander A.
2 Perthame, Benoît
2 Pomeau, Yves
2 Scheinkman, José Alexandre
2 Véron, Laurent
2 Vo, Hoang-Hung
2 Zilio, Alessandro
1 Alfaro, Matthieu
1 Audoly, Basile
1 Bandle, Catherine
1 Barthelemy, Marc
1 Beals, Richard W.
1 Bona, Jerry Lloyd
1 Bouhours, Juliette
1 Brighi, Bernard
1 Brillard, Alain
1 Bruggeman, Cameron
1 Cazenave, Thierry
1 Chanillo, Sagun
1 Chapman, Stephen Jonathan
1 Chipot, Michel
1 Cohen, Amy
1 Constantin, Peter
1 Coulon, Anne-Charline
1 Guedes de Figueiredo, Djairo
1 Degond, Pierre
1 Dias, João-Paulo
1 Diekmann, Odo
1 Efendiev, Messoud
1 Ekeland, Ivar
1 Fernández-Cara, Enrique
1 Figueira, Mário S. R.
1 Gallouët, Thierry
1 Glowinski, Roland
1 Grossi, Massimo
1 Jin, Tianling
1 Joulin, Guy
1 Kavian, Otared
1 Lachand-Robert, Thomas
1 Lebowitz, Joel Louis
1 Lin, Taichia
1 Mancini, Gianni
1 Mastrian, Barbara
1 Matano, Hiroshi
1 Mawhin, Jean L.
1 Nagelkerke, Cornelis J.
1 Novikov, Alexei
1 Nussbaum, Roger David
1 Porretta, Alessio
1 Rabinowitz, Paul Henry
1 Raoul, Gaël
1 Roberts, Fred S.
1 Rodíguez, Nancy
1 Sbordone, Carlo
1 Shafrir, Itai
...and 10 more Co-Authors
all top 5

Serials

18 Comptes Rendus de l’Académie des Sciences. Série I
9 Communications on Pure and Applied Mathematics
7 Archive for Rational Mechanics and Analysis
6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
6 Networks and Heterogeneous Media
5 Discrete and Continuous Dynamical Systems
4 Journal of Mathematical Biology
4 Journal of Differential Equations
4 Journal of Functional Analysis
3 Nonlinearity
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIAM Journal on Mathematical Analysis
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications in Mathematical Physics
2 Journal d’Analyse Mathématique
2 Bulletin of Mathematical Biology
2 Duke Mathematical Journal
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Communications in Partial Differential Equations
2 Interfaces and Free Boundaries
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Progress in Nonlinear Differential Equations and Their Applications
1 Journal of Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Boletim da Sociedade Brasileira de Matemática
1 Indiana University Mathematics Journal
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 RAIRO. Analyse Numérique
1 Transactions of the American Mathematical Society
1 Journal of the American Mathematical Society
1 European Journal of Applied Mathematics
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Notices of the American Mathematical Society
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Differential Equations
1 Communications on Applied Nonlinear Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Combustion Theory and Modelling
1 Nonlinear Boundary Value Problems
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique
1 Quantitative Finance
1 Advanced Nonlinear Studies
1 Multiscale Modeling & Simulation
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences
1 Contemporary Mathematics
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Mathematics and Financial Economics
1 Discrete and Continuous Dynamical Systems. Series S
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 6,328 times in 3,889 Documents Cited by Year
Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029
Berestycki, Henri; Lions, Pierre-Louis
974
1983
On the method of moving planes and the sliding method. Zbl 0784.35025
Berestycki, H.; Nirenberg, L.
314
1991
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
285
1994
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
250
1983
Front propagation in periodic excitable media. Zbl 1024.37054
Berestycki, Henri; Hamel, François
185
2002
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
155
1992
The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
132
2005
Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010
Berestycki, Henri; Cazenave, Thierry
132
1981
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
132
2005
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
125
1994
Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis
121
1997
An ODE approach to the existence of positive solutions for semilinear problems in \(R^ n\). Zbl 0522.35036
Berestycki, Henri; Lions, Pierre-Louis; Peletier, L. A.
121
1981
Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
115
1997
Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
113
1995
A perturbation method in critical point theory and applications. Zbl 0476.35030
Bahri, Abbas; Berestycki, Henri
112
1981
Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
109
1985
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
107
2009
Équations de champs scalaires euclidiens non linéaires dans le plan. Zbl 0544.35042
Berestycki, Henri; Gallouët, Thierry; Kavian, Otared
107
1983
Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. Zbl 1083.92036
Berestycki, Henri; Hamel, François; Roques, Lionel
103
2005
Le nombre de solutions de certains problèmes semi-linéaires elliptiques. Zbl 0452.35038
Berestycki, Henri
101
1981
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
86
2009
Generalized travelling waves for reaction-diffusion equations. Zbl 1200.35169
Berestycki, Henri; Hamel, François
81
2007
Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
81
1996
Generalized transition waves and their properties. Zbl 1248.35039
Berestycki, Henri; Hamel, François
79
2012
Multi-dimensional travelling-wave solutions of a flame propagation model. Zbl 0711.35066
Berestycki, H.; Larrouturou, B.; Lions, P. L.
72
1990
Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033
Berestycki, Henri; Hamel, François; Nadin, Grégoire
70
2008
Liouville-type results for semilinear elliptic equations in unbounded domains. Zbl 1223.35022
Berestycki, Henri; Hamel, François; Rossi, Luca
69
2007
Computing the implied volatility in stochastic volatility models. Zbl 1181.91356
Berestycki, Henri; Busca, Jérôme; Florent, Igor
65
2004
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
62
2005
Double resonance in semilinear elliptic problems. Zbl 0468.35043
Berestycki, Henri; Guedes de Figueiredo, Djairo
61
1981
On some nonlinear Sturm-Liouville problems. Zbl 0331.34020
Berestycki, Henri
61
1977
One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056
Berestycki, H.; Hamel, F.; Monneau, R.
59
2000
The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
57
2010
Bistable traveling waves around an obstacle. Zbl 1172.35031
Berestycki, Henri; Matano, Hiroshi; Hamel, François
56
2009
On a free boundary problem arising in plasma physics. Zbl 0437.35032
Berestycki, Henri; Brézis, Haïm
56
1980
Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031
Berestycki, H.; Nirenberg, L.
56
1988
Uniform estimates for regularization of free boundary problems. Zbl 0702.35252
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
52
1990
Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004
Berestycki, H.; Nirenberg, L.
51
1990
Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces. Zbl 0569.58027
Berestycki, Henri; Lasry, Jean-Michel; Mancini, Giovanni; Ruf, Bernhard
45
1985
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
44
2008
Forced vibrations of superquadratic Hamiltonian systems. Zbl 0592.70027
Bahri, Abbas; Berestycki, Henri
43
1984
Symmetry for elliptic equations in a half space. Zbl 0793.35034
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
41
1993
Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains. Zbl 1332.35243
Berestycki, Henri; Rossi, Luca
39
2015
On phase-separation models: asymptotics and qualitative properties. Zbl 1263.35095
Berestycki, Henri; Lin, Tai-Chia; Wei, Juncheng; Zhao, Chunyi
38
2013
Existence of forced oscillations for some nonlinear differential equations. Zbl 0588.34028
Bahri, Abbas; Berestycki, Henri
38
1984
On entire solutions of an elliptic system modeling phase separations. Zbl 1282.35022
Berestycki, Henri; Terracini, Susanna; Wang, Kelei; Wei, Juncheng
36
2013
Persistence criteria for populations with non-local dispersion. Zbl 1346.35202
Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung
33
2016
Existence and bifurcation of solutions for an elliptic degenerate problem. Zbl 0870.34032
Berestycki, Henri; Esteban, Maria J.
32
1997
Forced waves of the Fisher-KPP equation in a shifting environment. Zbl 1377.35162
Berestycki, Henri; Fang, Jian
31
2018
On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications. Zbl 1105.35061
Berestycki, Henri; Rossi, Luca
30
2006
Reaction-diffusion equations for population dynamics with forced speed. II: Cylindrical-type domains. Zbl 1183.35166
Berestycki, Henri; Rossi, Luca
28
2009
The influence of a line with fast diffusion on Fisher-KPP propagation. Zbl 1270.35264
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
28
2013
Stability of travelling fronts in a model for flame propagation. I: Linear analysis. Zbl 0763.76033
Berestycki, Henri; Larrouturou, Bernard; Roquejoffre, Jean-Michel
28
1992
Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191
Berestycki, Henri; Nadin, Grégoire
27
2012
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
26
2005
A semilinear elliptic equation in a strip arising in a two-dimensional flame propagation model. Zbl 0658.35036
Berestycki, Henri; Larrouturou, Bernard
26
1989
Reaction-diffusion in fast steady flow. (Réaction diffusion en écoulement stationnaire rapide.) Zbl 0992.76097
Audoly, Basile; Berestycki, Henri; Pomeau, Yves
24
2000
The influence of advection on the propagation of fronts in reaction-diffusion equations. Zbl 1073.35113
Berestycki, H.
24
2002
On the definition and the properties of the principal eigenvalue of some nonlocal operators. Zbl 1358.47044
Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung
23
2016
Metastability in a flame front evolution equation. Zbl 0991.35097
Berestycki, H.; Kamin, S.; Sivashinsky, G.
22
2001
A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030
Berestycki, H.; Bonnet, A.; Chapman, S. J.
21
1994
The effect of climate shift on a species submitted to dispersion, evolution, growth, and nonlocal competition. Zbl 1364.35377
Alfaro, Matthieu; Berestycki, Henri; Raoul, Gaël
21
2017
Existence d’ondes solitaires dans des problèmes nonlinéaires du type Klein-Gordon. Zbl 0397.35024
Berestycki, Henri; Lions, Pierre-Louis
20
1979
The periodic patch model for population dynamics with fractional diffusion. Zbl 1207.35279
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
20
2011
Self-organised critical hot spots of criminal activity. Zbl 1233.91229
Berestycki, H.; Nadal, J.-P.
18
2010
Asymptotics and calibration of local volatility models. Zbl 1405.91586
Berestycki, H.; Busca, J.; Florent, I.
18
2002
Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123
Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca
18
2015
Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions. Zbl 0706.35021
Berestycki, Henri; Pacella, Filomena
16
1989
Existence of a ground state in nonlinear equations of the Klein-Gordon type. Zbl 0707.35143
Berestycki, H.; Lions, P.-L.
16
1980
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
16
2010
Sur certains problèmes de frontière libre. Zbl 0342.35014
Berestycki, Henri; Brézis, Haïm
16
1976
Une méthode locale pour l’existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\). Zbl 0518.35034
Berestycki, Henri; Lions, Pierre-Louis
16
1980
Front blocking and propagation in cylinders with varying cross section. Zbl 1348.35105
Berestycki, Henri; Bouhours, Juliette; Chapuisat, Guillemette
16
2016
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
16
2013
Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
15
1993
Existence of symmetric and asymmetric spikes for a crime hotspot model. Zbl 1347.34035
Berestycki, Henri; Wei, Juncheng; Winter, Matthias
15
2014
Quelques aspects mathématiques de la propagation des flammes prémélangées. (Some mathematical aspects of premixed flame propagation). Zbl 0755.35090
Berestycki, H.; Larrouturou, B.
14
1991
Fisher-KPP propagation in the presence of a line: further effects. Zbl 1273.35162
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
14
2013
Existence d’ondes solitaires dans des problèmes nonlinéaires du type Klein-Gordon. Zbl 0391.35055
Berestycki, Henri; Lions, Pierre-Louis
14
1978
The effect of a line with nonlocal diffusion on Fisher-KPP propagation. Zbl 1327.35175
Berestycki, Henri; Coulon, Anne-Charline; Roquejoffre, Jean-Michel; Rossi, Luca
14
2015
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
13
2006
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
12
2010
Existence d’états multiples dans des équations de champs scalaires non linéaires dans le cas de masse nulle. Zbl 0542.35072
Berestycki, Henri; Lions, Pierre-Louis
12
1983
The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations. Zbl 1341.35169
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
12
2016
Propagation in a non local reaction diffusion equation with spatial and genetic trait structure. Zbl 1338.35238
Berestycki, Henri; Jin, Tianling; Silvestre, Luis
12
2016
Qualitative properties of positive solutions of elliptic equations. Zbl 0947.35065
Berestycki, H.
11
2000
An inverse parabolic problem arising in finance. Zbl 1158.91369
Berestycki, Henri; Busca, Jérôme; Florent, Igor
11
2000
Sharp existence results for a class of semilinear elliptic problems. Zbl 0571.35038
Berestycki, Henri; Lions, Pierre-Louis
11
1981
On least energy solutions to a semilinear elliptic equation in a strip. Zbl 1196.35097
Berestycki, Henri; Wei, Juncheng
10
2010
Traveling fronts guided by the environment for reaction-diffusion equations. Zbl 1270.35165
Berestycki, Henri; Chapuisat, Guillemette
10
2013
Flame extinction by periodic flow field. Zbl 0717.76108
Berestycki, Henri; Sivashinsky, Gregory I.
10
1991
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
9
2009
Some properties of monotone rearrangement with applications to elliptic equations in cylinders. Zbl 1084.35003
Berestycki, H.; Lachand-Robert, T.
9
2004
Non-existence of travelling front solutions of some bistable reaction-diffusion equations. Zbl 0988.35081
Berestycki, H.; Hamel, F.
8
2000
Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations. Zbl 1142.35432
Berestycki, Henri; Hamel, François
8
2005
Some applications of the method of super and subsolutions. Zbl 0433.35023
Berestycki, Henri; Lions, Pierre-Louis
8
1980
Some families of solutions of the Vlasov-Poisson systems. Zbl 0703.35171
Batt, J.; Berestycki, H.; Degond, P.; Perthame, B.
8
1988
Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011
Berestycki, H.; Nirenberg, L.
7
1991
Traveling wave solutions to reaction diffusion systems modelling combustion. Zbl 0573.35042
Berestycki, Henri; Nicolaenko, Besil; Scheurer, Bruno
7
1983
Travelling front solutions of semilinear equations in \(n\) dimensions. Zbl 0780.35054
Berestycki, H.; Nirenberg, L.
6
1991
Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
3
2021
Generalized principal eigenvalues for heterogeneous road-field systems. Zbl 1431.35072
Berestycki, Henri; Ducasse, Romain; Rossi, Luca
2
2020
Influence of a road on a population in an ecological niche facing climate change. Zbl 1451.35228
Berestycki, Henri; Ducasse, Romain; Rossi, Luca
2
2020
Bubbles in assets with finite life. Zbl 1417.91222
Berestycki, Henri; Bruggeman, Cameron; Monneau, Regis; Scheinkman, José A.
1
2019
Forced waves of the Fisher-KPP equation in a shifting environment. Zbl 1377.35162
Berestycki, Henri; Fang, Jian
31
2018
Periodic cycles of social outbursts of activity. Zbl 1384.34053
Berestycki, H.; Rossi, L.; Rodríguez, N.
4
2018
Predators-prey models with competition. I: Existence, bifurcation and qualitative properties. Zbl 1404.35452
Berestycki, Henri; Zilio, Alessandro
2
2018
Felix Browder (1927–2016). Zbl 1406.35004
Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry
1
2018
The effect of climate shift on a species submitted to dispersion, evolution, growth, and nonlocal competition. Zbl 1364.35377
Alfaro, Matthieu; Berestycki, Henri; Raoul, Gaël
21
2017
A non-local bistable reaction-diffusion equation with a gap. Zbl 1368.35018
Rodríguez, Nancy; Berestycki, Henri
4
2017
Persistence criteria for populations with non-local dispersion. Zbl 1346.35202
Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung
33
2016
On the definition and the properties of the principal eigenvalue of some nonlocal operators. Zbl 1358.47044
Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung
23
2016
Front blocking and propagation in cylinders with varying cross section. Zbl 1348.35105
Berestycki, Henri; Bouhours, Juliette; Chapuisat, Guillemette
16
2016
The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations. Zbl 1341.35169
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
12
2016
Propagation in a non local reaction diffusion equation with spatial and genetic trait structure. Zbl 1338.35238
Berestycki, Henri; Jin, Tianling; Silvestre, Luis
12
2016
Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion. Zbl 1338.35239
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
6
2016
Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains. Zbl 1332.35243
Berestycki, Henri; Rossi, Luca
39
2015
Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123
Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca
18
2015
The effect of a line with nonlocal diffusion on Fisher-KPP propagation. Zbl 1327.35175
Berestycki, Henri; Coulon, Anne-Charline; Roquejoffre, Jean-Michel; Rossi, Luca
14
2015
A model of riots dynamics: shocks, diffusion and thresholds. Zbl 1342.35399
Berestycki, Henri; Nadal, Jean-Pierre; Rodíguez, Nancy
5
2015
Existence of symmetric and asymmetric spikes for a crime hotspot model. Zbl 1347.34035
Berestycki, Henri; Wei, Juncheng; Winter, Matthias
15
2014
A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049
Berestycki, Henri; Monneau, Regis; Scheinkman, José A.
5
2014
On phase-separation models: asymptotics and qualitative properties. Zbl 1263.35095
Berestycki, Henri; Lin, Tai-Chia; Wei, Juncheng; Zhao, Chunyi
38
2013
On entire solutions of an elliptic system modeling phase separations. Zbl 1282.35022
Berestycki, Henri; Terracini, Susanna; Wang, Kelei; Wei, Juncheng
36
2013
The influence of a line with fast diffusion on Fisher-KPP propagation. Zbl 1270.35264
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
28
2013
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
16
2013
Fisher-KPP propagation in the presence of a line: further effects. Zbl 1273.35162
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
14
2013
Traveling fronts guided by the environment for reaction-diffusion equations. Zbl 1270.35165
Berestycki, Henri; Chapuisat, Guillemette
10
2013
Generalized transition waves and their properties. Zbl 1248.35039
Berestycki, Henri; Hamel, François
79
2012
Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191
Berestycki, Henri; Nadin, Grégoire
27
2012
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
3
2012
The periodic patch model for population dynamics with fractional diffusion. Zbl 1207.35279
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
20
2011
The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
57
2010
Self-organised critical hot spots of criminal activity. Zbl 1233.91229
Berestycki, H.; Nadal, J.-P.
18
2010
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
16
2010
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
12
2010
On least energy solutions to a semilinear elliptic equation in a strip. Zbl 1196.35097
Berestycki, Henri; Wei, Juncheng
10
2010
Disentangling collective trends from local dynamics. Zbl 1205.91136
Barthélemy, Marc; Nadal, Jean-Pierre; Berestycki, Henri
1
2010
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
107
2009
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
86
2009
Bistable traveling waves around an obstacle. Zbl 1172.35031
Berestycki, Henri; Matano, Hiroshi; Hamel, François
56
2009
Reaction-diffusion equations for population dynamics with forced speed. II: Cylindrical-type domains. Zbl 1183.35166
Berestycki, Henri; Rossi, Luca
28
2009
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
9
2009
Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033
Berestycki, Henri; Hamel, François; Nadin, Grégoire
70
2008
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
44
2008
Generalized travelling waves for reaction-diffusion equations. Zbl 1200.35169
Berestycki, Henri; Hamel, François
81
2007
Liouville-type results for semilinear elliptic equations in unbounded domains. Zbl 1223.35022
Berestycki, Henri; Hamel, François; Rossi, Luca
69
2007
Perspectives in nonlinear partial differential equations in honor of Haïm Brezis. Based on the conference celebration of Haïm Brezis’ 60th birthday, June 21–25, 2004. Zbl 1126.00013
Berestycki, Henri; Bertsch, Michiel; Browder, Felix E.; Nirenberg, Louis; Peletier, Lambertus A.; Véron, Laurent
1
2007
On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications. Zbl 1105.35061
Berestycki, Henri; Rossi, Luca
30
2006
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
13
2006
Fronts and invasions in general domains. Zbl 1103.35044
Berestycki, Henri; Hamel, François
6
2006
The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
132
2005
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
132
2005
Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. Zbl 1083.92036
Berestycki, Henri; Hamel, François; Roques, Lionel
103
2005
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
62
2005
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
26
2005
Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations. Zbl 1142.35432
Berestycki, Henri; Hamel, François
8
2005
Computing the implied volatility in stochastic volatility models. Zbl 1181.91356
Berestycki, Henri; Busca, Jérôme; Florent, Igor
65
2004
Some properties of monotone rearrangement with applications to elliptic equations in cylinders. Zbl 1084.35003
Berestycki, H.; Lachand-Robert, T.
9
2004
Propagation speed for reaction-diffusion equations in general domains. Zbl 1049.35100
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai
3
2004
Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains. Zbl 1107.35349
Berestycki, H.; Efendiev, M.; Zelik, S.
1
2004
On singular perturbation problems with Robin boundary condition. Zbl 1121.35008
Berestycki, Henri; Wei, Juncheng
6
2003
Front propagation in periodic excitable media. Zbl 1024.37054
Berestycki, Henri; Hamel, François
185
2002
The influence of advection on the propagation of fronts in reaction-diffusion equations. Zbl 1073.35113
Berestycki, H.
24
2002
Asymptotics and calibration of local volatility models. Zbl 1405.91586
Berestycki, H.; Busca, J.; Florent, I.
18
2002
Metastability in a flame front evolution equation. Zbl 0991.35097
Berestycki, H.; Kamin, S.; Sivashinsky, G.
22
2001
One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056
Berestycki, H.; Hamel, F.; Monneau, R.
59
2000
Reaction-diffusion in fast steady flow. (Réaction diffusion en écoulement stationnaire rapide.) Zbl 0992.76097
Audoly, Basile; Berestycki, Henri; Pomeau, Yves
24
2000
Qualitative properties of positive solutions of elliptic equations. Zbl 0947.35065
Berestycki, H.
11
2000
An inverse parabolic problem arising in finance. Zbl 1158.91369
Berestycki, Henri; Busca, Jérôme; Florent, Igor
11
2000
Non-existence of travelling front solutions of some bistable reaction-diffusion equations. Zbl 0988.35081
Berestycki, H.; Hamel, F.
8
2000
Some nonlinear PDE’s in the theory of flame propagation. Zbl 1043.76061
Berestycki, Henri
2
2000
Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis
121
1997
Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
115
1997
Existence and bifurcation of solutions for an elliptic degenerate problem. Zbl 0870.34032
Berestycki, Henri; Esteban, Maria J.
32
1997
The effect of stirring on the limits of thermal explosion. Zbl 1034.80505
Kagan, L.; Berestycki, H.; Joulin, G.; Sivashinsky, G.
6
1997
Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
81
1996
Qualitative properties of semilinear elliptic equations in unbounded domains. Zbl 0887.35054
Berestycki, H.
1
1996
Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
113
1995
Nonlinear dynamics and metastability in a Burgers type equation (for upward propagating flames). Zbl 0838.35112
Berestycki, Henri; Kamin, Shoshana; Sivashinsky, Gregory
5
1995
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
285
1994
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
125
1994
A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030
Berestycki, H.; Bonnet, A.; Chapman, S. J.
21
1994
Symmetry for elliptic equations in a half space. Zbl 0793.35034
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
41
1993
Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
15
1993
Eigenvalue problems for some nonlinear Wheeler-DeWitt operators. Zbl 0839.35096
Berestycki, H.; Dias, J.-P.; Esteban, M. J.; Figueira, M.
6
1993
The ground state and maximum principle for second order elliptic operators in general domains. (État fondamental et principe du maximum pour les opérateurs elliptiques du second ordre dans des domaines généraux.) Zbl 0798.35038
Berestycki, Henri; Nirenberg, Louis; Varadhan, Srinivasa
1
1993
On the models for planar flames with complex chemistry. (Sur les modèles de flammes planes en chimie complexe.) Zbl 0794.34006
Berestycki, Henri; Larrouturou, Bernard
1
1993
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
155
1992
Stability of travelling fronts in a model for flame propagation. I: Linear analysis. Zbl 0763.76033
Berestycki, Henri; Larrouturou, Bernard; Roquejoffre, Jean-Michel
28
1992
A nonexistence theorem for an equation with critical Sobolev exponent in the half space. Zbl 0796.35050
Berestycki, Henri; Grossi, Massimo; Pacella, Filomena
3
1992
On the method of moving planes and the sliding method. Zbl 0784.35025
Berestycki, H.; Nirenberg, L.
314
1991
Quelques aspects mathématiques de la propagation des flammes prémélangées. (Some mathematical aspects of premixed flame propagation). Zbl 0755.35090
Berestycki, H.; Larrouturou, B.
14
1991
Flame extinction by periodic flow field. Zbl 0717.76108
Berestycki, Henri; Sivashinsky, Gregory I.
10
1991
Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011
Berestycki, H.; Nirenberg, L.
7
1991
Travelling front solutions of semilinear equations in \(n\) dimensions. Zbl 0780.35054
Berestycki, H.; Nirenberg, L.
6
1991
Mathematical investigation of the cold boundary difficulty in flame propagation theory. Zbl 0751.76066
Berestycki, H.; Larrouturou, B.; Roquejoffre, J. M.
6
1991
Multi-dimensional travelling-wave solutions of a flame propagation model. Zbl 0711.35066
Berestycki, H.; Larrouturou, B.; Lions, P. L.
72
1990
Uniform estimates for regularization of free boundary problems. Zbl 0702.35252
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
52
1990
Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004
Berestycki, H.; Nirenberg, L.
51
1990
...and 42 more Documents
all top 5

Cited by 3,111 Authors

63 Hamel, François
58 Berestycki, Henri
39 Li, Wan-Tong
38 Shen, Wenxian
32 Roquejoffre, Jean-Michel
32 Wei, Juncheng
31 Do Ó, João M. Bezerra
29 Shibata, Tetsutaro
29 Tang, Xianhua
28 Du, Yihong
26 Poláčik, Peter
23 Farina, Alberto
23 Jeanjean, Louis
23 Nadin, Grégoire
23 Quaas, Alexander
23 Sciunzi, Berardino
23 Zou, Wenming
22 Coville, Jerome
22 Merle, Frank
22 Ryzhik, Lenya
22 Volpert, Vitaly A.
21 Roques, Lionel J.
21 Rossi, Luca
21 Sirakov, Boyan Slavchev
21 Tanaka, Kazunaga
21 Valdinoci, Enrico
21 Wu, Tsungfang
20 Benci, Vieri
20 Byeon, Jaeyoung
20 Ducrot, Arnaud
19 García-Melián, Jorge
19 Lions, Pierre-Louis
19 López-Gómez, Julián
19 Miyagaki, Olimpio Hiroshi
19 Shivaji, Ratnasingham
19 Zhang, Jian
18 Birindelli, Isabeau
18 Felmer, Patricio L.
18 Ohta, Masahito
17 Alves, Claudianor Oliveira
17 de Souza, Manassés
17 Pomponio, Alessio
16 Giletti, Thomas
16 Molle, Riccardo
16 Zhang, Jianjun
16 Zhao, Xiao-Qiang
16 Zlatoš, Andrej
15 Azzollini, Antonio
15 Li, Yi
15 Liang, Xing
15 Matano, Hiroshi
15 Raphael, Pierre
15 Sire, Yannick
15 Wang, Zhi Cheng
14 Li, Congming
14 Monneau, Régis
14 Montoro, Luigi
14 Pacella, Filomena
14 Seok, Jinmyoung
14 Squassina, Marco
14 Trofimchuk, Sergei I.
14 Xin, Jack X.
13 Boscaggin, Alberto
13 Caffarelli, Luis Ángel
13 Cerami, Giovanna
13 Dancer, Edward Norman
13 Long, Yiming
13 Maia, Liliane A.
13 Martel, Yvan
13 Nadirashvili, Nikolai S.
13 Passaseo, Donato
13 Shi, Junping
13 Sourdis, Christos
13 Wang, Zhi-Qiang
12 Aftalion, Amandine
12 Biswas, Anup
12 Bonheure, Denis
12 Capuzzo Dolcetta, Italo
12 Chen, Wenxiong
12 Del Pino, Manuel A.
12 Ikoma, Norihisa
12 Lutscher, Frithjof
12 Soave, Nicola
12 Vitolo, Antonio
12 Watanabe, Tatsuya
11 Ambrosio, Vincenzo
11 Cabré, Xavier
11 Demengel, Françoise
11 Deng, Yinbin
11 Figueiredo, Giovany Malcher
11 Lam, King-Yeung
11 Li, Gongbao
11 Li, YanYan
11 Peng, Shuangjie
11 Perthame, Benoît
11 Severo, Uberlandio Batista
11 Wang, Jiabing
11 Weth, Tobias
11 Zanolin, Fabio
11 Zhou, Maolin
...and 3,011 more Authors
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Cited in 341 Serials

377 Journal of Differential Equations
238 Journal of Mathematical Analysis and Applications
230 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
135 Calculus of Variations and Partial Differential Equations
120 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
102 Archive for Rational Mechanics and Analysis
93 Discrete and Continuous Dynamical Systems
92 Journal of Functional Analysis
80 Nonlinear Analysis. Theory, Methods & Applications
69 Journal de Mathématiques Pures et Appliquées. Neuvième Série
69 Communications on Pure and Applied Analysis
64 Communications in Partial Differential Equations
59 Transactions of the American Mathematical Society
57 Journal of Mathematical Physics
57 Annali di Matematica Pura ed Applicata. Serie Quarta
57 Proceedings of the American Mathematical Society
52 Communications in Mathematical Physics
52 Nonlinear Analysis. Real World Applications
50 Journal of Dynamics and Differential Equations
50 NoDEA. Nonlinear Differential Equations and Applications
49 Advanced Nonlinear Studies
43 Communications in Contemporary Mathematics
41 Comptes Rendus. Mathématique. Académie des Sciences, Paris
40 Applicable Analysis
39 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
38 Journal of Mathematical Biology
37 Nonlinearity
35 Discrete and Continuous Dynamical Systems. Series B
34 Applied Mathematics Letters
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
31 Mathematische Annalen
31 Physica D
30 Advances in Mathematics
30 SIAM Journal on Mathematical Analysis
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 Journal of the European Mathematical Society (JEMS)
24 Computers & Mathematics with Applications
24 Advances in Nonlinear Analysis
23 Boundary Value Problems
22 Communications on Pure and Applied Mathematics
22 Duke Mathematical Journal
22 Complex Variables and Elliptic Equations
21 Bulletin of Mathematical Biology
19 Journal d’Analyse Mathématique
18 Applied Mathematics and Computation
18 Revista Matemática Iberoamericana
17 Abstract and Applied Analysis
16 Mathematical Methods in the Applied Sciences
16 SIAM Journal on Applied Mathematics
16 Milan Journal of Mathematics
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Acta Mathematica Sinica. English Series
14 Mediterranean Journal of Mathematics
13 Acta Applicandae Mathematicae
13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
13 Journal of Fixed Point Theory and Applications
13 Science China. Mathematics
12 European Journal of Applied Mathematics
12 Electronic Journal of Differential Equations (EJDE)
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Journal of Elliptic and Parabolic Equations
11 Rocky Mountain Journal of Mathematics
11 Chinese Annals of Mathematics. Series B
11 Journal of Nonlinear Science
10 Mathematical Notes
10 Applied Mathematics and Optimization
10 Manuscripta Mathematica
10 Topological Methods in Nonlinear Analysis
10 International Journal of Theoretical and Applied Finance
10 Mathematical Modelling of Natural Phenomena
9 Rendiconti del Seminario Matematico della Università di Padova
9 Zeitschrift für Analysis und ihre Anwendungen
9 SIAM Journal on Applied Dynamical Systems
8 Mathematische Nachrichten
8 Mathematische Zeitschrift
8 Results in Mathematics
8 Japan Journal of Industrial and Applied Mathematics
8 The Journal of Geometric Analysis
8 Bulletin of the American Mathematical Society. New Series
8 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Journal of Mathematical Sciences (New York)
8 Finance and Stochastics
8 Quantitative Finance
7 Bulletin of the Australian Mathematical Society
7 Journal of Computational and Applied Mathematics
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Journal of the American Mathematical Society
7 Mathematical and Computer Modelling
7 Asymptotic Analysis
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Mathematical Finance
7 Journal of Evolution Equations
7 Discrete and Continuous Dynamical Systems. Series S
7 SIAM Journal on Financial Mathematics
6 Indiana University Mathematics Journal
6 Inventiones Mathematicae
6 Applied Mathematical Modelling
6 Potential Analysis
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Statistical Physics
...and 241 more Serials
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Cited in 47 Fields

3,328 Partial differential equations (35-XX)
421 Biology and other natural sciences (92-XX)
375 Ordinary differential equations (34-XX)
270 Operator theory (47-XX)
253 Global analysis, analysis on manifolds (58-XX)
207 Dynamical systems and ergodic theory (37-XX)
162 Calculus of variations and optimal control; optimization (49-XX)
159 Fluid mechanics (76-XX)
129 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
108 Integral equations (45-XX)
96 Quantum theory (81-XX)
95 Probability theory and stochastic processes (60-XX)
94 Classical thermodynamics, heat transfer (80-XX)
76 Statistical mechanics, structure of matter (82-XX)
71 Functional analysis (46-XX)
69 Numerical analysis (65-XX)
67 Differential geometry (53-XX)
36 Optics, electromagnetic theory (78-XX)
33 Real functions (26-XX)
32 Mechanics of particles and systems (70-XX)
25 Difference and functional equations (39-XX)
23 Systems theory; control (93-XX)
22 Mechanics of deformable solids (74-XX)
20 Potential theory (31-XX)
11 Statistics (62-XX)
10 Approximations and expansions (41-XX)
10 Relativity and gravitational theory (83-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Geophysics (86-XX)
6 General and overarching topics; collections (00-XX)
6 Convex and discrete geometry (52-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
6 Operations research, mathematical programming (90-XX)
5 History and biography (01-XX)
5 Astronomy and astrophysics (85-XX)
4 Measure and integration (28-XX)
3 Topological groups, Lie groups (22-XX)
3 Functions of a complex variable (30-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
2 Combinatorics (05-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Information and communication theory, circuits (94-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)

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