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Kenig, Carlos Eduardo

Author ID: kenig.carlos-e Recent zbMATH articles by "Kenig, Carlos Eduardo"
Published as: Kenig, Carlos E.; Kenig, Carlos; Kenig, C. E.; Kenig, C.; Kenig, K. Eh.
Homepage: http://www.math.uchicago.edu/~cek/
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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Co-Authors

44 single-authored
49 Ponce, Gustavo
49 Vega, Luis
28 Merle, Frank
19 Duyckaerts, Thomas
18 Ionescu, Alexandru D.
18 Jerison, David S.
15 Dahlberg, Bjorn E. J.
15 Pipher, Jill Catherine
14 Escauriaza Zubiria, Luis
14 Fabes, Eugene B.
14 Toro, Tatiana
9 Staffilani, Gigliola
9 Tataru, Daniel
8 Schlag, Wilhelm
7 Colliander, James E.
7 Salo, Mikko
7 Uhlmann, Gunther Alberto
6 Bejenaru, Ioan
6 Koch, Herbert
6 Lawrie, Andrew G. W.
6 Shen, Zhongwei
6 Wang, Jenn-Nan
5 Caffarelli, Luis Ángel
5 Côte, Raphaël
5 Dos Santos Ferreira, David
5 Lin, Fang Hua
5 Tomas, Peter A.
4 Himonas, A. Alexandrou
4 Martel, Yvan
4 Sjöstrand, Johannes
4 Sogge, Christopher D.
4 Verchota, Gregory C.
4 Ziesler, Sarah N.
3 Chanillo, Sagun
3 Collot, Charles
3 Davey, Blair
3 Jia, Hao
3 Mayboroda, Svitlana
3 Ni, Wei-Ming
3 Pilod, Didier
3 Ruiz, Alberto
2 Bourgain, Jean
2 Carbery, Anthony
2 Christ, Michael
2 Cui, Shangbin
2 Fefferman, Robert A.
2 Hofmann, Steve
2 Lanzani, Loredana
2 Liu, Baoping
2 Nadirashvili, Nikolai S.
2 Pollack, Daniel
2 Porta, Horacio A.
2 Prange, Christophe
2 Rolvung, Christian
2 Sadosky, Cora
2 Stein, Elias Menachem
2 Wang, Wensheng
2 Webster, Sidney M.
2 Zhu, Jiuyi
1 Adolfsson, Vilhelm
1 Athanasopoulos, Ioannis
1 Barceló, Bartolomé
1 Beckner, William
1 Bellow, Alexandra
1 Birnir, Bjorn
1 Calderon, Alberto Pedro
1 Çamliyurt, Güher
1 Capogna, Luca
1 Cowling, Michael G.
1 Cuenin, Jean-Claude
1 Cwikel, Michael
1 Dafni, Galia
1 Daskalopoulos, Panagiota
1 David, Guy
1 Delort, Jean-Marc
1 Dindoš, Martin
1 Drinfeld, Vladimir Gershonovich
1 Fefferman, Charles Louis
1 Franchi, Bruno
1 Grigor’yan, Alexander Asaturovich
1 Herr, Sebastian
1 Holliman, Curtis
1 Il’yashenko, Yuliĭ Sergeevich
1 Jakobson, Dmitry
1 Jodeit, J. M.
1 Karakhanyan, Aram L.
1 Kearn, Vickie
1 Kirchheim, Bernd
1 Klainerman, Sergiu
1 Knapp, Anthony William
1 Koch, Gabriel S.
1 Koenig, Kenneth D.
1 Korostelev, Alexander P.
1 Krantz, Steven George
1 Kuksin, Sergeĭ B.
1 Lamm, Tobias
1 Linares, Felipe
1 Malliavin, Paul
1 Mendelson, Dana
1 Meyer, Yves F.
...and 35 more Co-Authors
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Serials

14 Transactions of the American Mathematical Society
12 Duke Mathematical Journal
12 Communications in Partial Differential Equations
10 Mathematical Research Letters
9 Communications in Mathematical Physics
9 American Journal of Mathematics
9 Annals of Mathematics. Second Series
8 Advances in Mathematics
8 Inventiones Mathematicae
8 Journal of Functional Analysis
8 Proceedings of the American Mathematical Society
7 Communications on Pure and Applied Mathematics
7 Journal of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Revista Matemática Iberoamericana
6 Differential and Integral Equations
6 Discrete and Continuous Dynamical Systems
6 The Journal of Fourier Analysis and Applications
6 Journal of the European Mathematical Society (JEMS)
5 Indiana University Mathematics Journal
5 IMRN. International Mathematics Research Notices
5 Geometric and Functional Analysis. GAFA
5 Bulletin of the American Mathematical Society. New Series
5 Notices of the American Mathematical Society
4 Archive for Rational Mechanics and Analysis
4 The Journal of Geometric Analysis
4 Oberwolfach Reports
3 Studia Mathematica
3 Arkiv för Matematik
3 Acta Mathematica
3 Annales de l’Institut Fourier
3 Mathematische Annalen
3 Revista de la Unión Matemática Argentina
2 Nonlinearity
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of the London Mathematical Society. Second Series
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Publicacions Matemàtiques
2 Forum Mathematicum
2 Automation and Remote Control
2 SIAM Journal on Mathematical Analysis
2 Moscow Mathematical Journal
2 Communications on Pure and Applied Analysis
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Probability Theory and Related Fields
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Séminaire Équations aux Dérivées Partielles
1 St. Petersburg Mathematical Journal
1 Advances in Differential Equations
1 RIMS Kokyuroku
1 Annales Henri Poincaré
1 Advanced Nonlinear Studies
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Bulletin of the American Mathematical Society
1 Annals of Mathematics Studies
1 The IMA Volumes in Mathematics and its Applications
1 Regional Conference Series in Mathematics
1 University Lecture Series
1 IAS/Park City Mathematics Series
1 Inverse Problems and Imaging
1 EMS Tracts in Mathematics
1 Analysis & PDE
1 Japanese Journal of Mathematics. 3rd Series
1 Kyoto Journal of Mathematics
1 Wiadomości Matematyczne
1 Cambridge Journal of Mathematics
1 CBMS Regional Conference Series in Mathematics

Publications by Year

Citations contained in zbMATH Open

280 Publications have been cited 13,066 times in 6,749 Documents Cited by Year
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Zbl 0808.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
685
1993
The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042
Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.
495
1982
The inhomogeneous Dirichlet problem in Lipschitz domains. Zbl 0832.35034
Jerison, David; Kenig, Carlos E.
427
1995
Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrödinger equation in the radial case. Zbl 1115.35125
Kenig, Carlos E.; Merle, Frank
407
2006
A bilinear estimate with applications to the KdV equation. Zbl 0848.35114
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
390
1996
Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
366
1991
Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
356
1991
Boundary behavior of harmonic functions in non-tangentially accessible domains. Zbl 0514.31003
Jerison, David S.; Kenig, Carlos E.
332
1982
Harmonic analysis techniques for second order elliptic boundary value problems: dedicated to the memory of Professor Antoni Zygmund. Zbl 0812.35001
Kenig, Carlos E.
280
1994
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202
Kenig, Carlos E.; Merle, Frank
244
2008
Multilinear estimates and fractional integration. Zbl 0952.42005
Kenig, Carlos E.; Stein, Elias M.
228
1999
Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein). Zbl 0593.35119
Jerison, David; Kenig, Carlos E.
220
1985
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices. Zbl 0787.35090
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
194
1993
On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
190
2001
The Neumann problem on Lipschitz domains. Zbl 0471.35026
Jerison, David S.; Kenig, Carlos E.
189
1981
Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012
Kenig, C. E.; Ruiz, A.; Sogge, C. D.
171
1987
The Calderón problem with partial data. Zbl 1127.35079
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
158
2007
Hardy spaces and the Neumann problem in \(L^ p\) for Laplace’s equation in Lipschitz domains. Zbl 0658.35027
Dahlberg, Bjorn E. J.; Kenig, Carlos E.
149
1987
On localization in the continuous Anderson-Bernoulli model in higher dimension. Zbl 1084.82005
Bourgain, Jean; Kenig, Carlos E.
145
2005
The Dirichlet problem for the Stokes system on Lipschitz domains. Zbl 0685.35085
Fabes, E. B.; Kenig, C. E.; Verchota, G. C.
144
1988
Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
125
1993
The theory of weights and the Dirichlet problem for elliptic equations. Zbl 0770.35014
Fefferman, R. A.; Kenig, C. E.; Pipher, J.
124
1991
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
121
2010
Boundary value problems for the systems of elastostatics in Lipschitz domains. Zbl 0699.35073
Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C.
119
1988
Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242
Himonas, A. Alexandrou; Kenig, Carlos
119
2009
Global well-posedness of the Benjamin–Ono equation in low-regularity spaces. Zbl 1123.35055
Ionescu, Alexandru D.; Kenig, Carlos E.
118
2007
Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
108
2009
The Wiener test for degenerate elliptic equations. Zbl 0488.35034
Fabes, E. B.; Jerison, D. S.; Kenig, C. E.
102
1983
Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
96
2013
Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation. Zbl 1230.35067
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
95
2011
Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
95
2012
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
90
1998
Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
88
2013
The Neumann problem for elliptic equations with non-smooth coefficients. Zbl 0807.35030
Kenig, Carlos E.; Pipher, Jill
86
1993
Free boundary regularity for harmonic measures and Poisson kernels. Zbl 0946.31001
Kenig, Carlos E.; Toro, Tatiana
86
1999
Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163
Ionescu, A. D.; Kenig, C. E.; Tataru, D.
86
2008
Degenerate diffusions. Initial value problems and local regularity theory. Zbl 1205.35002
Daskalopoulos, Panagiota; Kenig, Carlos E.
85
2007
On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
84
1989
Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112
Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D.
83
2011
Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
80
2007
A note on the almost everywhere behavior of solutions to the Schrödinger equation. Zbl 0519.35022
Dahlberg, Bjorn E. J.; Kenig, Carlos E.
78
1982
The generalized Korteweg-de Vries equation on the half line. Zbl 1041.35064
Colliander, J. E.; Kenig, C. E.
77
2002
A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. Zbl 0958.35025
Kenig, C.; Koch, H.; Pipher, J.; Toro, T.
77
2000
Harmonic measure on locally flat domains. Zbl 0878.31002
Kenig, Carlos E.; Toro, Tatiana
76
1997
The Dirichlet problem in non-smooth domains. Zbl 0434.35027
Jerison, David S.; Kenig, Carlos E.
76
1981
On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations. Zbl 1044.35072
Kenig, Carlos E.; Koenig, Kenneth D.
72
2003
Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
70
1996
Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180
Kenig, Carlos E.; Merle, Frank
68
2010
Global energy minimizers for free boundary problems and full regularity in three dimensions. Zbl 1330.35545
Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E.
67
2004
Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure. Zbl 0551.35024
Fabes, Eugene B.; Jerison, David S.; Kenig, Carlos E.
67
1984
Boundary value problems on Lipschitz domains. Zbl 0529.31007
Jerison, David S.; Kenig, Carlos E.
66
1982
Some new monotonicity theorems with applications to free boundary problems. Zbl 1142.35382
Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E.
66
2002
Hardy spaces, \(A_\infty\), and singular integrals on chord-arc domains. Zbl 0509.30025
Jerison, David S.; Kenig, Carlos E.
65
1982
The Dirichlet problem for elliptic equations with drift terms. Zbl 1113.35314
Kenig, Carlos E.; Pipher, Jill
65
2001
The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
63
2004
Periodic homogenization of Green and Neumann functions. Zbl 1300.35030
Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei
63
2014
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
63
2012
Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Zbl 1326.42028
Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill
61
2015
Completely singular elliptic-harmonic measures. Zbl 0482.35020
Caffarelli, Luis A.; Fabes, Eugene B.; Kenig, Carlos E.
60
1981
Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case. Zbl 1282.35088
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank
60
2012
The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301
Kenig, Carlos; Salo, Mikko
59
2013
Higher-order nonlinear dispersive equations. Zbl 0810.35122
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
58
1994
On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
58
1995
On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
55
2007
Poisson kernel characterization of Reifenberg flat chord arc domains. Zbl 1027.31005
Kenig, Carlos E.; Toro, Tatiana
54
2003
Nonnegative solutions of the porous medium equation. Zbl 0547.35057
Dahlberg, Bjorn E. J.; Kenig, Carlos E.
52
1984
Area integral estimates for elliptic differential operators with non- smooth coefficients. Zbl 0537.35025
Dahlberg, Björn E. J.; Jerison, David S.; Kenig, Carlos E.
52
1984
Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136
Kenig, Carlos E.; Merle, Frank
50
2011
On the local and global well-posedness theory for the KP-I equation. Zbl 1072.35162
Kenig, Carlos E.
49
2004
On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
48
2006
Non-negative solutions of generalized porous medium equations. Zbl 0644.35057
Dahlberg, Bjorn E. J.; Kenig, Carlos E.
46
1986
The Dirichlet problem for the biharmonic equation in a Lipschitz domain. Zbl 0589.35040
Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C.
46
1986
Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276
Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank
46
2017
On the generalized Benjamin-Ono equation. Zbl 0804.35105
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
43
1994
Area integral estimates for higher order elliptic equations and systems. Zbl 0892.35053
Dahlberg, Björn E. J.; Kenig, C. E.; Pipher, J.; Verchota, G. C.
43
1997
Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Zbl 0907.35026
Caffarelli, Luis A.; Kenig, Carlos E.
43
1998
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
43
1996
Recent progress in the Calderón problem with partial data. Zbl 1330.35534
Kenig, Carlos; Salo, Mikko
43
2014
Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\). Zbl 1137.35068
Ionescu, Alexandru D.; Kenig, Carlos E.
42
2007
Layer potential methods for elliptic homogenization problems. Zbl 1213.35063
Kenig, Carlos; Shen, Zhongwei
42
2011
The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008
Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
41
2010
Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018
Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis
41
2008
Bilinear estimates and applications to 2d NLS. Zbl 0970.35142
Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G.
41
2001
Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
41
2015
On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
40
2003
Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
40
2014
Maximal operators defined by Fourier multipliers. Zbl 0442.42013
Kenig, Carlos E.; Tomas, Peter A.
38
1980
Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
37
2011
Weighted \(H^p\) spaces on Lipschitz domains. Zbl 0434.42024
Kenig, Carlos E.
37
1980
Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\). Zbl 1152.35049
Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.
36
2007
L\({}^ p\) estimates for the three-dimensional systems of elastostatics on Lipschitz domains. Zbl 0702.35076
Dahlberg, B. E. J.; Kenig, C. E.
36
1990
A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089
Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert
36
2010
BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029
Dindos, Martin; Kenig, Carlos; Pipher, Jill
36
2011
Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations. Zbl 1230.35102
Kenig, C. E.; Martel, Y.; Robbiano, L.
36
2011
The local hull of holomorphy of a surface in the space of two complex variables. Zbl 0489.32007
Kenig, Carlos E.; Webster, Sidney M.
35
1982
Boundary behavior of solutions to degenerate elliptic equations. Zbl 0503.35038
Fabes, E. B.; Kenig, C. E.
35
1983
\({\Psi}\)-pseudodifferential operators and estimates for maximal oscillatory integrals. Zbl 1178.35397
Kenig, Carlos E.; Staubach, Wolfgang
32
2007
Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133
Kenig, Carlos E.; Martel, Yvan
32
2009
An area-Dirichlet integral minimization problem. Zbl 1066.49002
Athanasopoulos, I.; Caffarelli, L. A.; Kenig, C.; Salsa, S.
32
2001
Divergence of eigenfunction expansions. Zbl 0506.47014
Kenig, C. E.; Stanton, R. J.; Tomas, P. A.
32
1982
Soliton resolution for the radial critical wave equation in all odd space dimensions. Zbl 1520.35103
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
6
2023
On classification of non-radiative solutions for various energy-critical wave equations. Zbl 1527.35180
Collot, Charles; Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
1
2023
Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. Zbl 1491.35292
Duyckaerts, Thomas; Kenig, Carlos; Martel, Yvan; Merle, Frank
10
2022
Boundary unique continuation on \(C^1\)-dini domains and the size of the singular set. Zbl 07549417
Kenig, Carlos; Zhao, Zihui
5
2022
Expansion of harmonic functions near the boundary of Dini domains. Zbl 1516.31010
Kenig, Carlos E.; Zhao, Zihui
1
2022
Decay estimates for nonradiative solutions of the energy-critical focusing wave equation. Zbl 1472.35050
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
8
2021
The focusing energy-critical nonlinear wave equation with random initial data. Zbl 1481.35282
Kenig, Carlos; Mendelson, Dana
6
2021
Asymptotic simplification for solutions of the energy critical nonlinear wave equation. Zbl 1464.35032
Kenig, Carlos E.
2
2021
Propagation of smallness in elliptic periodic homogenization. Zbl 1456.35021
Kenig, Carlos; Zhu, Jiuyi
2
2021
On the work of Jean Bourgain in nonlinear dispersive equations. Zbl 1462.35335
Kenig, Carlos E.
2
2021
Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339
Kenig, C. E.; Ponce, G.; Vega, L.
17
2020
On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part. Zbl 1439.35109
Davey, B.; Kenig, C.; Wang, J.-N.
8
2020
Exterior energy bounds for the critical wave equation close to the ground state. Zbl 1450.35157
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
7
2020
On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164
Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L.
6
2020
The International Mathematical Union (IMU) at 100. Zbl 1454.01057
Kenig, Carlos E.
1
2020
Scattering profile for global solutions of the energy-critical wave equation. Zbl 1437.35497
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank
14
2019
The method of energy channels for nonlinear wave equations. Zbl 1437.35076
Kenig, Carlos E.
3
2019
Construction of 2-peakon solutions and ill-posedness for the Novikov equation. Zbl 1392.35260
Himonas, A. Alexandrou; Holliman, Curtis; Kenig, Carlos
25
2018
Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
15
2018
On the regularity of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1394.35420
Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L.
11
2018
Improved regularity in bumpy Lipschitz domains. Zbl 1397.35091
Kenig, Carlos; Prange, Christophe
8
2018
Universality of blow up profile for small blow up solutions to the energy critical wave map equation. Zbl 1421.35038
Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank
6
2018
Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276
Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank
46
2017
Asymptotic decomposition for semilinear wave and equivariant wave map equations. Zbl 1391.35278
Jia, Hao; Kenig, Carlos
20
2017
The Landis conjecture for variable coefficient second-order elliptic PDEs. Zbl 1375.35061
Davey, Blair; Kenig, Carlos; Wang, Jenn-Nan
16
2017
\(L^p\) resolvent estimates for magnetic Schrödinger operators with unbounded background fields. Zbl 1372.35257
Cuenin, Jean-Claude; Kenig, Carlos E.
8
2017
The focusing energy-critical wave equation. Zbl 1373.35183
Kenig, Carlos
1
2017
Square functions and the \(A_\infty\) property of elliptic measures. Zbl 1386.35070
Kenig, C.; Kirchheim, B.; Pipher, J.; Toro, T.
32
2016
Solutions of the focusing nonradial critical wave equation with the compactness property. Zbl 1348.35141
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
26
2016
Concentration-compactness and universal profiles for the non-radial energy critical wave equation. Zbl 1339.35186
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
13
2016
Local well-posedness for the KdV hierarchy at high regularity. Zbl 1375.35449
Kenig, Carlos E.; Pilod, Didier
13
2016
Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
10
2016
Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235
Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel
9
2016
Unique continuation for the elasticity system and a counterexample for second-order elliptic systems. Zbl 1408.35028
Kenig, Carlos; Wang, Jenn-Nan
4
2016
Global existence for solutions of the focusing wave equation with the compactness property. Zbl 1362.35190
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
3
2016
Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Zbl 1326.42028
Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill
61
2015
Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
41
2015
Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313
Kenig, Carlos E.; Pilod, Didier
32
2015
On Landis’ conjecture in the plane. Zbl 1320.35119
Kenig, Carlos; Silvestre, Luis; Wang, Jenn-Nan
32
2015
Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
30
2015
The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients. Zbl 1325.42028
Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill
30
2015
Channels of energy for the linear radial wave equation. Zbl 1331.35209
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm
22
2015
Uniform Lipschitz estimates in bumpy half-spaces. Zbl 1317.35043
Kenig, Carlos; Prange, Christophe
19
2015
Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm
14
2015
Quantitative uniqueness estimates for second order elliptic equations with unbounded drift. Zbl 1326.35098
Kenig, Carlos; Wang, Jenn-Nan
12
2015
Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations. Zbl 1320.35066
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank
12
2015
Lectures on the energy critical nonlinear wave equation. Zbl 1329.35005
Kenig, Carlos E.
5
2015
Periodic homogenization of Green and Neumann functions. Zbl 1300.35030
Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei
63
2014
Recent progress in the Calderón problem with partial data. Zbl 1330.35534
Kenig, Carlos; Salo, Mikko
43
2014
Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
40
2014
On \(L^p\) resolvent estimates for Laplace-Beltrami operators on compact manifolds. Zbl 1302.35382
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko
26
2014
Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356
Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm
25
2014
Energy partition for the linear radial wave equation. Zbl 1311.35022
Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm
21
2014
A theorem of Paley-Wiener type for Schrödinger evolutions. (Un théorème de type Paley-Wiener pour les évolutions de Schrödinger.) Zbl 1308.35274
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
5
2014
Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
96
2013
Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
88
2013
The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301
Kenig, Carlos; Salo, Mikko
59
2013
Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
27
2013
Determining an unbounded potential from Cauchy data in admissible geometries. Zbl 1302.35436
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko
24
2013
Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087
Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D.
22
2013
Restriction for homogeneous polynomial surfaces in \(\mathbb R^3\). Zbl 1273.42008
Carbery, A.; Kenig, C. E.; Ziesler, S. N.
12
2013
Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei
95
2012
Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
63
2012
Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case. Zbl 1282.35088
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank
60
2012
Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
29
2012
Lower bounds for non-trivial travelling wave solutions of equations of KdV type. Zbl 1248.35185
Kenig, C. E.; Ponce, G.; Vega, L.
3
2012
The concentration-compactness rigidity method for critical dispersive and wave equations. Zbl 1284.35289
Kenig, Carlos E.
1
2012
Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation. Zbl 1230.35067
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
95
2011
Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112
Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D.
83
2011
Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136
Kenig, Carlos E.; Merle, Frank
50
2011
Layer potential methods for elliptic homogenization problems. Zbl 1213.35063
Kenig, Carlos; Shen, Zhongwei
42
2011
Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
37
2011
BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029
Dindos, Martin; Kenig, Carlos; Pipher, Jill
36
2011
Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations. Zbl 1230.35102
Kenig, C. E.; Martel, Y.; Robbiano, L.
36
2011
Homogenization of elliptic boundary value problems in Lipschitz domains. Zbl 1223.35139
Kenig, Carlos E.; Shen, Zhongwei
27
2011
An alternative approach to regularity for the Navier-Stokes equations in critical spaces. Zbl 1220.35119
Kenig, Carlos E.; Koch, Gabriel S.
26
2011
Radial solutions to energy supercritical wave equations in odd dimensions. Zbl 1298.35119
Kenig, Carlos E.; Merle, Frank
18
2011
Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves. Zbl 1219.35203
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
15
2011
Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
13
2011
Reconstructions from boundary measurements on admissible manifolds. Zbl 1237.35160
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
12
2011
On the stability of certain spin models in \(2+1\) dimensions. Zbl 1215.35145
Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.
4
2011
Recent developments on the global behavior to critical nonlinear dispersive equations. Zbl 1274.35360
Kenig, Carlos E.
2
2011
Erratum to: “Non-uniform dependence on initial data for the CH equation on the line”. Zbl 1240.35241
Himonas, A. Alexandrou; Kenig, Carlos
2
2011
Critical non-linear dispersive equations: global existence, scattering, blow-up and universal profiles. Zbl 1270.35071
Kenig, Carlos
1
2011
Non-uniform dependence for the periodic CH equation. Zbl 1193.35189
Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard
121
2010
Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180
Kenig, Carlos E.; Merle, Frank
68
2010
The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008
Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
41
2010
A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089
Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert
36
2010
The Hardy uncertainty principle revisited. Zbl 1242.35017
Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L.
25
2010
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
16
2010
Weak continuity of the flow map for the Benjamin-Ono equation on the line. Zbl 1223.35272
Cui, Shangbin; Kenig, Carlos E.
4
2010
Weak continuity of dynamical systems for the KdV and mKdV equations. Zbl 1240.35448
Cui, Shangbin; Kenig, Carlos E.
2
2010
The global behavior of solutions to critical nonlinear dispersive and wave equations. Zbl 1195.35111
Kenig, Carlos E.
1
2010
Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242
Himonas, A. Alexandrou; Kenig, Carlos
119
2009
Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
108
2009
Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133
Kenig, Carlos E.; Martel, Yvan
32
2009
The regularity and Neumann problem for non-symmetric elliptic operators. Zbl 1178.35155
Kenig, Carlos E.; Rule, David J.
26
2009
On the linearized local Calderón problem. Zbl 1198.31003
Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
22
2009
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. Zbl 1206.28002
Kenig, C.; Preiss, D.; Toro, T.
18
2009
Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202
Kenig, Carlos E.; Merle, Frank
244
2008
...and 180 more Documents
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Cited by 4,924 Authors

139 Kenig, Carlos Eduardo
67 Mitrea, Marius
60 Ponce, Gustavo
56 Vega, Luis
55 Guo, Boling
53 Hofmann, Steve
46 Linares, Felipe
45 Himonas, A. Alexandrou
42 Mayboroda, Svitlana
39 Merle, Frank
39 Tataru, Daniel
38 Salo, Mikko
38 Uhlmann, Gunther Alberto
37 Hayashi, Nakao
36 Nyström, Kaj
35 Byun, Sun-Sig
34 Martel, Yvan
34 Miao, Changxing
31 Shen, Zhongwei
31 Toro, Tatiana
31 Zhang, Bingyu
30 Saanouni, Tarek
29 Naumkin, Pavel Ivanovich
29 Pipher, Jill Catherine
29 Tzvetkov, Nikolay
29 Vazquez, Juan Luis
28 Sire, Yannick
27 Shahgholian, Henrik
27 Wang, Baoxiang
27 Yan, Wei
26 Guo, Zihua
26 Mitrea, Dorina
25 Dong, Hongjie
25 Molinet, Luc
25 Saut, Jean-Claude
24 Martell, José María (Chema)
24 Wei, Juncheng
24 Zheng, Jiqiang
23 Esfahani, Amin
23 Lassas, Matti J.
23 Lee, Sanghyuk
23 Maz’ya, Vladimir Gilelevich
23 Otárola, Enrique
23 Panthee, Mahendra
23 Wendland, Wolfgang L.
23 Xue, Qingying
22 Dindoš, Martin
22 Duyckaerts, Thomas
22 Garofalo, Nicola
22 Kohr, Mirela
22 Li, Yongsheng
22 Muñoz, Claudio
22 Nakanishi, Kenji
22 Wang, Lihe
21 Carvajal, Xavier Paredes
21 David, Guy
21 Grafakos, Loukas
21 Koch, Herbert
21 Medková, Dagmar
21 Pastor, Ademir
21 Staffilani, Gigliola
21 Tao, Terence
21 Yang, Dachun
20 Caffarelli, Luis Ángel
20 Farah, Luiz Gustavo
20 Mitrea, Irina
20 Oh, Tadahiro
19 Brown, Russell Murray
19 Escauriaza Zubiria, Luis
19 Huo, Zhaohui
19 Krieger, Joachim
19 Lawrie, Andrew G. W.
19 Liu, Yue
19 Yang, Sibei
19 Zhao, Lifeng
18 Chen, Jiecheng
18 Côte, Raphaël
18 Herr, Sebastian
18 Hui, Kin Ming
18 Jerison, David S.
18 Kian, Yavar
18 Lewis, John L.
18 Pilod, Didier
18 Raphael, Pierre
18 Roudenko, Svetlana
18 Wang, Ming
18 Wang, Youde
17 Auscher, Pascal
17 Banerjee, Agnid
17 Cui, Shangbin
17 Dahlke, Stephan
17 Ding, Yong
17 Huang, Jianhua
17 Lar’kin, Nikolaj Andreevich
17 Lu, Guozhen
17 Schlag, Wilhelm
17 Tolsa, Xavier
17 Visan, Monica
17 Wang, Jenn-Nan
16 Bona, Jerry Lloyd
...and 4,824 more Authors
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Cited in 435 Serials

415 Journal of Differential Equations
305 Journal of Mathematical Analysis and Applications
275 Journal of Functional Analysis
235 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
202 Communications in Partial Differential Equations
193 Transactions of the American Mathematical Society
146 Proceedings of the American Mathematical Society
144 Communications in Mathematical Physics
132 Advances in Mathematics
131 Calculus of Variations and Partial Differential Equations
127 SIAM Journal on Mathematical Analysis
107 Discrete and Continuous Dynamical Systems
101 Archive for Rational Mechanics and Analysis
97 Mathematische Annalen
95 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
91 Journal of Mathematical Physics
83 Duke Mathematical Journal
81 The Journal of Geometric Analysis
78 Communications on Pure and Applied Analysis
76 Journal de Mathématiques Pures et Appliquées. Neuvième Série
72 The Journal of Fourier Analysis and Applications
71 Journal d’Analyse Mathématique
71 Revista Matemática Iberoamericana
71 Analysis & PDE
66 Potential Analysis
59 Applicable Analysis
55 Acta Mathematica Sinica. English Series
55 Journal of Evolution Equations
52 Mathematical Methods in the Applied Sciences
52 Mathematische Zeitschrift
51 ZAMP. Zeitschrift für angewandte Mathematik und Physik
46 Nonlinearity
46 Nonlinear Analysis. Real World Applications
44 Journal of the European Mathematical Society (JEMS)
42 Inventiones Mathematicae
40 NoDEA. Nonlinear Differential Equations and Applications
39 Annali di Matematica Pura ed Applicata. Serie Quarta
38 Inverse Problems
37 Arkiv för Matematik
36 Communications on Pure and Applied Mathematics
35 Inverse Problems and Imaging
33 Annales de l’Institut Fourier
33 Journal of the American Mathematical Society
32 Journal of Mathematical Sciences (New York)
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
31 Mathematische Nachrichten
29 Manuscripta Mathematica
29 Monatshefte für Mathematik
29 Communications in Contemporary Mathematics
28 Journal of Hyperbolic Differential Equations
27 Journal of Mathematical Fluid Mechanics
27 Annales Henri Poincaré
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26 Applied Mathematics Letters
26 Boundary Value Problems
25 Forum Mathematicum
25 Discrete and Continuous Dynamical Systems. Series B
25 Nonlinear Analysis. Theory, Methods & Applications
24 Indiana University Mathematics Journal
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22 Memoirs of the American Mathematical Society
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20 Complex Variables and Elliptic Equations
20 Annals of PDE
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18 Chinese Annals of Mathematics. Series B
18 St. Petersburg Mathematical Journal
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Séminaire Laurent Schwartz. EDP et Applications
17 Numerische Mathematik
17 Journal of Pseudo-Differential Operators and Applications
17 Forum of Mathematics, Sigma
17 Mathematics in Engineering
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16 Probability Theory and Related Fields
16 SN Partial Differential Equations and Applications
15 Acta Mathematica
15 Abstract and Applied Analysis
15 Acta Mathematica Scientia. Series B. (English Edition)
15 Analysis and Mathematical Physics
14 Acta Applicandae Mathematicae
14 Taiwanese Journal of Mathematics
13 Functional Analysis and its Applications
13 Journal für die Reine und Angewandte Mathematik
13 SIAM Journal on Numerical Analysis
13 Zeitschrift für Analysis und ihre Anwendungen
13 Advanced Nonlinear Studies
13 Frontiers of Mathematics in China
12 Journal of the London Mathematical Society. Second Series
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Cited in 55 Fields

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229 Quantum theory (81-XX)
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