Edit Profile (opens in new tab) Kenig, Carlos Eduardo Co-Author Distance Author ID: kenig.carlos-e Published as: Kenig, Carlos E.; Kenig, Carlos; Kenig, C. E.; Kenig, C.; Kenig, K. Eh. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 301 Publications since 1975, including 4 Books 9 Contributions as Editor · 1 Further Contribution Co-Authors: 116 Co-Authors with 266 Joint Publications 2,838 Co-Co-Authors all top 5 Co-Authors 41 single-authored 48 Ponce, Gustavo 48 Vega, Luis 26 Merle, Frank 18 Jerison, David S. 17 Duyckaerts, Thomas 17 Ionescu, Alexandru D. 15 Dahlberg, Bjorn E. J. 15 Pipher, Jill Catherine 14 Fabes, Eugene B. 13 Escauriaza Zubiria, Luis 13 Toro, Tatiana 8 Schlag, Wilhelm 8 Staffilani, Gigliola 8 Tataru, Daniel 7 Colliander, James E. 7 Salo, Mikko 6 Koch, Herbert 6 Lawrie, Andrew G. W. 6 Shen, Zhongwei 6 Uhlmann, Gunther Alberto 6 Wang, Jenn-Nan 5 Bejenaru, Ioan 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 Sogge, Christopher D. 4 Verchota, Gregory C. 4 Ziesler, Sarah N. 3 Chanillo, Sagun 3 Davey, Blair 3 Jia, Hao 3 Mayboroda, Svitlana 3 Ni, Wei-Ming 3 Pilod, Didier 3 Ruiz, Alberto 3 Sjöstrand, Johannes 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 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 Capogna, Luca 1 Collot, Charles 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 Ilyashenko, Yulij 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. 1 Misiołek, Gerard 1 Nagel, Alexander ...and 34 more Co-Authors all top 5 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 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 IMRN. International Mathematics Research Notices 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 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 all top 5 Fields 269 Partial differential equations (35-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 39 Potential theory (31-XX) 17 Fluid mechanics (76-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Functional analysis (46-XX) 14 Operator theory (47-XX) 11 History and biography (01-XX) 8 General and overarching topics; collections (00-XX) 8 Measure and integration (28-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 278 Publications have been cited 12,105 times in 6,304 Documents Cited by ▼ Year ▼ Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Zbl 0808.35128Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 655 1993 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 465 1982 The inhomogeneous Dirichlet problem in Lipschitz domains. Zbl 0832.35034Jerison, David; Kenig, Carlos E. 408 1995 Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrödinger equation in the radial case. Zbl 1115.35125Kenig, Carlos E.; Merle, Frank 381 2006 A bilinear estimate with applications to the KdV equation. Zbl 0848.35114Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 367 1996 Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 348 1991 Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 337 1991 Boundary behavior of harmonic functions in non-tangentially accessible domains. Zbl 0514.31003Jerison, David S.; Kenig, Carlos E. 320 1982 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202Kenig, Carlos E.; Merle, Frank 230 2008 Harmonic analysis techniques for second order elliptic boundary value problems: dedicated to the memory of Professor Antoni Zygmund. Zbl 0812.35001Kenig, Carlos E. 226 1994 Multilinear estimates and fractional integration. Zbl 0952.42005Kenig, Carlos E.; Stein, Elias M. 214 1999 Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein). Zbl 0593.35119Jerison, David; Kenig, Carlos E. 204 1985 The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices. Zbl 0787.35090Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 189 1993 The Neumann problem on Lipschitz domains. Zbl 0471.35026Jerison, David S.; Kenig, Carlos E. 180 1981 On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 175 2001 Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012Kenig, C. E.; Ruiz, A.; Sogge, C. D. 163 1987 Hardy spaces and the Neumann problem in \(L^ p\) for Laplace’s equation in Lipschitz domains. Zbl 0658.35027Dahlberg, Bjorn E. J.; Kenig, Carlos E. 142 1987 The Calderón problem with partial data. Zbl 1127.35079Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 142 2007 On localization in the continuous Anderson-Bernoulli model in higher dimension. Zbl 1084.82005Bourgain, Jean; Kenig, Carlos E. 136 2005 The Dirichlet problem for the Stokes system on Lipschitz domains. Zbl 0685.35085Fabes, E. B.; Kenig, C. E.; Verchota, G. C. 136 1988 Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 122 1993 Boundary value problems for the systems of elastostatics in Lipschitz domains. Zbl 0699.35073Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. 118 1988 The theory of weights and the Dirichlet problem for elliptic equations. Zbl 0770.35014Fefferman, R. A.; Kenig, C. E.; Pipher, J. 116 1991 Global well-posedness of the Benjamin–Ono equation in low-regularity spaces. Zbl 1123.35055Ionescu, Alexandru D.; Kenig, Carlos E. 114 2007 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 112 2010 Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242Himonas, A. Alexandrou; Kenig, Carlos 109 2009 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 97 2009 The Wiener test for degenerate elliptic equations. Zbl 0488.35034Fabes, E. B.; Jerison, D. S.; Kenig, C. E. 97 1983 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 92 2012 Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation. Zbl 1230.35067Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 90 2011 Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 86 2013 Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 84 1998 Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163Ionescu, A. D.; Kenig, C. E.; Tataru, D. 83 2008 The Neumann problem for elliptic equations with non-smooth coefficients. Zbl 0807.35030Kenig, Carlos E.; Pipher, Jill 82 1993 On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 81 1989 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 81 2013 Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 76 2007 A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. Zbl 0958.35025Kenig, C.; Koch, H.; Pipher, J.; Toro, T. 76 2000 Free boundary regularity for harmonic measures and Poisson kernels. Zbl 0946.31001Kenig, Carlos E.; Toro, Tatiana 75 1999 Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D. 74 2011 The generalized Korteweg-de Vries equation on the half line. Zbl 1041.35064Colliander, J. E.; Kenig, C. E. 74 2002 Harmonic measure on locally flat domains. Zbl 0878.31002Kenig, Carlos E.; Toro, Tatiana 73 1997 The Dirichlet problem in non-smooth domains. Zbl 0434.35027Jerison, David S.; Kenig, Carlos E. 73 1981 On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations. Zbl 1044.35072Kenig, Carlos E.; Koenig, Kenneth D. 71 2003 Degenerate diffusions. Initial value problems and local regularity theory. Zbl 1205.35002Daskalopoulos, Panagiota; Kenig, Carlos E. 70 2007 Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 67 1996 Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure. Zbl 0551.35024Fabes, Eugene B.; Jerison, David S.; Kenig, Carlos E. 65 1984 Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180Kenig, Carlos E.; Merle, Frank 63 2010 Global energy minimizers for free boundary problems and full regularity in three dimensions. Zbl 1330.35545Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 62 2004 Some new monotonicity theorems with applications to free boundary problems. Zbl 1142.35382Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 62 2002 The Dirichlet problem for elliptic equations with drift terms. Zbl 1113.35314Kenig, Carlos E.; Pipher, Jill 62 2001 Hardy spaces, A//infinity, and singular integrals on chord-arc domains. Zbl 0509.30025Jerison, David S.; Kenig, Carlos E. 61 1982 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 60 2012 The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 59 2004 Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case. Zbl 1282.35088Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank 58 2012 Completely singular elliptic-harmonic measures. Zbl 0482.35020Caffarelli, Luis A.; Fabes, Eugene B.; Kenig, Carlos E. 58 1981 Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Zbl 1326.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 57 2015 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 56 2014 Higher-order nonlinear dispersive equations. Zbl 0810.35122Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 56 1994 On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 55 1995 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 54 2013 Poisson kernel characterization of Reifenberg flat chord arc domains. Zbl 1027.31005Kenig, Carlos E.; Toro, Tatiana 52 2003 Area integral estimates for elliptic differential operators with non- smooth coefficients. Zbl 0537.35025Dahlberg, Björn E. J.; Jerison, David S.; Kenig, Carlos E. 52 1984 On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 51 2007 Nonnegative solutions of the porous medium equation. Zbl 0547.35057Dahlberg, Bjorn E. J.; Kenig, Carlos E. 50 1984 Boundary value problems on Lipschitz domains. Zbl 0529.31007Jerison, David S.; Kenig, Carlos E. 47 1982 Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136Kenig, Carlos E.; Merle, Frank 46 2011 On the local and global well-posedness theory for the KP-I equation. Zbl 1072.35162Kenig, Carlos E. 46 2004 The Dirichlet problem for the biharmonic equation in a Lipschitz domain. Zbl 0589.35040Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. 45 1986 Non-negative solutions of generalized porous medium equations. Zbl 0644.35057Dahlberg, Bjorn E. J.; Kenig, Carlos E. 44 1986 On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 44 2006 Area integral estimates for higher order elliptic equations and systems. Zbl 0892.35053Dahlberg, Björn E. J.; Kenig, C. E.; Pipher, J.; Verchota, G. C. 43 1997 Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank 40 2017 On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis 40 1996 On the generalized Benjamin-Ono equation. Zbl 0804.35105Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 40 1994 On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 40 2003 Bilinear estimates and applications to 2d NLS. Zbl 0970.35142Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G. 40 2001 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 39 2015 Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Zbl 0907.35026Caffarelli, Luis A.; Kenig, Carlos E. 39 1998 Layer potential methods for elliptic homogenization problems. Zbl 1213.35063Kenig, Carlos; Shen, Zhongwei 38 2011 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 37 2010 Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\). Zbl 1137.35068Ionescu, Alexandru D.; Kenig, Carlos E. 37 2007 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 37 2008 Recent progress in the Calderón problem with partial data. Zbl 1330.35534Kenig, Carlos; Salo, Mikko 37 2014 Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 36 2014 BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029Dindos, Martin; Kenig, Carlos; Pipher, Jill 36 2011 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 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 1230.35102Kenig, C. E.; Martel, Y.; Robbiano, L. 35 2011 Weighted \(H^p\) spaces on Lipschitz domains. Zbl 0434.42024Kenig, Carlos E. 35 1980 The local hull of holomorphy of a surface in the space of two complex variables. Zbl 0489.32007Kenig, Carlos E.; Webster, Sidney M. 35 1982 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 34 2010 Maximal operators defined by Fourier multipliers. Zbl 0442.42013Kenig, Carlos E.; Tomas, Peter A. 34 1980 Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\). Zbl 1152.35049Bejenaru, I.; Ionescu, A. D.; Kenig, C. E. 33 2007 Square functions and the \(A_\infty\) property of elliptic measures. Zbl 1386.35070Kenig, C.; Kirchheim, B.; Pipher, J.; Toro, T. 32 2016 A note on the almost everywhere behavior of solutions to the Schrödinger equation. Zbl 0519.35022Dahlberg, Bjorn E. J.; Kenig, Carlos E. 32 1982 Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313Kenig, Carlos E.; Pilod, Didier 31 2015 L\({}^ p\) estimates for the three-dimensional systems of elastostatics on Lipschitz domains. Zbl 0702.35076Dahlberg, B. E. J.; Kenig, C. E. 31 1990 Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133Kenig, Carlos E.; Martel, Yvan 31 2009 An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Zbl 0559.35025Kenig, Carlos E.; Ni, Weiming 30 1984 On Landis’ conjecture in the plane. Zbl 1320.35119Kenig, Carlos; Silvestre, Luis; Wang, Jenn-Nan 30 2015 Soliton resolution for the radial critical wave equation in all odd space dimensions. Zbl 1520.35103Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 3 2023 Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. Zbl 1491.35292Duyckaerts, Thomas; Kenig, Carlos; Martel, Yvan; Merle, Frank 6 2022 Boundary unique continuation on \(C^1\)-dini domains and the size of the singular set. Zbl 07549417Kenig, Carlos; Zhao, Zihui 3 2022 Expansion of harmonic functions near the boundary of Dini domains. Zbl 1516.31010Kenig, Carlos E.; Zhao, Zihui 1 2022 Decay estimates for nonradiative solutions of the energy-critical focusing wave equation. Zbl 1472.35050Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 5 2021 The focusing energy-critical nonlinear wave equation with random initial data. Zbl 1481.35282Kenig, Carlos; Mendelson, Dana 3 2021 On the work of Jean Bourgain in nonlinear dispersive equations. Zbl 1462.35335Kenig, Carlos E. 2 2021 Propagation of smallness in elliptic periodic homogenization. Zbl 1456.35021Kenig, Carlos; Zhu, Jiuyi 2 2021 Asymptotic simplification for solutions of the energy critical nonlinear wave equation. Zbl 1464.35032Kenig, Carlos E. 1 2021 Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339Kenig, C. E.; Ponce, G.; Vega, L. 16 2020 Exterior energy bounds for the critical wave equation close to the ground state. Zbl 1450.35157Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 6 2020 On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L. 5 2020 On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part. Zbl 1439.35109Davey, B.; Kenig, C.; Wang, J.-N. 4 2020 The International Mathematical Union (IMU) at 100. Zbl 1454.01057Kenig, Carlos E. 1 2020 Scattering profile for global solutions of the energy-critical wave equation. Zbl 1437.35497Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank 10 2019 The method of energy channels for nonlinear wave equations. Zbl 1437.35076Kenig, Carlos E. 2 2019 Construction of 2-peakon solutions and ill-posedness for the Novikov equation. Zbl 1392.35260Himonas, A. Alexandrou; Holliman, Curtis; Kenig, Carlos 22 2018 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 13 2018 On the regularity of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1394.35420Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L. 7 2018 Improved regularity in bumpy Lipschitz domains. Zbl 1397.35091Kenig, Carlos; Prange, Christophe 5 2018 Universality of blow up profile for small blow up solutions to the energy critical wave map equation. Zbl 1421.35038Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank 5 2018 Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank 40 2017 Asymptotic decomposition for semilinear wave and equivariant wave map equations. Zbl 1391.35278Jia, Hao; Kenig, Carlos 19 2017 The Landis conjecture for variable coefficient second-order elliptic PDEs. Zbl 1375.35061Davey, Blair; Kenig, Carlos; Wang, Jenn-Nan 15 2017 \(L^p\) resolvent estimates for magnetic Schrödinger operators with unbounded background fields. Zbl 1372.35257Cuenin, Jean-Claude; Kenig, Carlos E. 7 2017 The focusing energy-critical wave equation. Zbl 1373.35183Kenig, Carlos 1 2017 Square functions and the \(A_\infty\) property of elliptic measures. Zbl 1386.35070Kenig, C.; Kirchheim, B.; Pipher, J.; Toro, T. 32 2016 Solutions of the focusing nonradial critical wave equation with the compactness property. Zbl 1348.35141Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 24 2016 Local well-posedness for the KdV hierarchy at high regularity. Zbl 1375.35449Kenig, Carlos E.; Pilod, Didier 13 2016 Concentration-compactness and universal profiles for the non-radial energy critical wave equation. Zbl 1339.35186Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 13 2016 Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel 8 2016 Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 8 2016 Unique continuation for the elasticity system and a counterexample for second-order elliptic systems. Zbl 1408.35028Kenig, Carlos; Wang, Jenn-Nan 4 2016 Global existence for solutions of the focusing wave equation with the compactness property. Zbl 1362.35190Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 2 2016 Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Zbl 1326.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 57 2015 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 39 2015 Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313Kenig, Carlos E.; Pilod, Didier 31 2015 On Landis’ conjecture in the plane. Zbl 1320.35119Kenig, Carlos; Silvestre, Luis; Wang, Jenn-Nan 30 2015 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 29 2015 The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients. Zbl 1325.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 28 2015 Channels of energy for the linear radial wave equation. Zbl 1331.35209Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 19 2015 Uniform Lipschitz estimates in bumpy half-spaces. Zbl 1317.35043Kenig, Carlos; Prange, Christophe 16 2015 Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 13 2015 Quantitative uniqueness estimates for second order elliptic equations with unbounded drift. Zbl 1326.35098Kenig, Carlos; Wang, Jenn-Nan 12 2015 Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations. Zbl 1320.35066Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank 11 2015 Lectures on the energy critical nonlinear wave equation. Zbl 1329.35005Kenig, Carlos E. 5 2015 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 56 2014 Recent progress in the Calderón problem with partial data. Zbl 1330.35534Kenig, Carlos; Salo, Mikko 37 2014 Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 36 2014 On \(L^p\) resolvent estimates for Laplace-Beltrami operators on compact manifolds. Zbl 1302.35382Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko 23 2014 Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm 21 2014 Energy partition for the linear radial wave equation. Zbl 1311.35022Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 18 2014 A theorem of Paley-Wiener type for Schrödinger evolutions. (Un théorème de type Paley-Wiener pour les évolutions de Schrödinger.) Zbl 1308.35274Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 5 2014 Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 86 2013 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 81 2013 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 54 2013 Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 22 2013 Determining an unbounded potential from Cauchy data in admissible geometries. Zbl 1302.35436Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko 21 2013 Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D. 18 2013 Restriction for homogeneous polynomial surfaces in \(\mathbb R^3\). Zbl 1273.42008Carbery, A.; Kenig, C. E.; Ziesler, S. N. 11 2013 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 92 2012 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 60 2012 Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case. Zbl 1282.35088Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank 58 2012 Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 25 2012 Lower bounds for non-trivial travelling wave solutions of equations of KdV type. Zbl 1248.35185Kenig, C. E.; Ponce, G.; Vega, L. 3 2012 The concentration-compactness rigidity method for critical dispersive and wave equations. Zbl 1284.35289Kenig, Carlos E. 1 2012 Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation. Zbl 1230.35067Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 90 2011 Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D. 74 2011 Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136Kenig, Carlos E.; Merle, Frank 46 2011 Layer potential methods for elliptic homogenization problems. Zbl 1213.35063Kenig, Carlos; Shen, Zhongwei 38 2011 BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029Dindos, Martin; Kenig, Carlos; Pipher, Jill 36 2011 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 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 1230.35102Kenig, C. E.; Martel, Y.; Robbiano, L. 35 2011 An alternative approach to regularity for the Navier-Stokes equations in critical spaces. Zbl 1220.35119Kenig, Carlos E.; Koch, Gabriel S. 25 2011 Homogenization of elliptic boundary value problems in Lipschitz domains. Zbl 1223.35139Kenig, Carlos E.; Shen, Zhongwei 24 2011 Radial solutions to energy supercritical wave equations in odd dimensions. Zbl 1298.35119Kenig, Carlos E.; Merle, Frank 18 2011 Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves. Zbl 1219.35203Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 15 2011 Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 13 2011 Reconstructions from boundary measurements on admissible manifolds. Zbl 1237.35160Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 11 2011 On the stability of certain spin models in \(2+1\) dimensions. Zbl 1215.35145Bejenaru, I.; Ionescu, A. D.; Kenig, C. E. 4 2011 Recent developments on the global behavior to critical nonlinear dispersive equations. Zbl 1274.35360Kenig, Carlos E. 2 2011 Erratum: Non-uniform dependence on initial data for the CH equation on the line [Differ. Integral Equ. 22, No. 3-4, 201–224 (2009; Zbl 05944812)]. Zbl 1240.35241Himonas, A. Alexandrou; Kenig, Carlos 2 2011 Critical non-linear dispersive equations: global existence, scattering, blow-up and universal profiles. Zbl 1270.35071Kenig, Carlos 1 2011 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 112 2010 Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180Kenig, Carlos E.; Merle, Frank 63 2010 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 37 2010 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 34 2010 The Hardy uncertainty principle revisited. Zbl 1242.35017Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 24 2010 The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana 15 2010 Weak continuity of the flow map for the Benjamin-Ono equation on the line. Zbl 1223.35272Cui, Shangbin; Kenig, Carlos E. 4 2010 Weak continuity of dynamical systems for the KdV and mKdV equations. Zbl 1240.35448Cui, Shangbin; Kenig, Carlos E. 2 2010 The global behavior of solutions to critical nonlinear dispersive and wave equations. Zbl 1195.35111Kenig, Carlos E. 1 2010 Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242Himonas, A. Alexandrou; Kenig, Carlos 109 2009 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 97 2009 Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133Kenig, Carlos E.; Martel, Yvan 31 2009 The regularity and Neumann problem for non-symmetric elliptic operators. Zbl 1178.35155Kenig, Carlos E.; Rule, David J. 26 2009 Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. Zbl 1206.28002Kenig, C.; Preiss, D.; Toro, T. 18 2009 On the linearized local Calderón problem. Zbl 1198.31003Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 18 2009 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202Kenig, Carlos E.; Merle, Frank 230 2008 Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163Ionescu, A. D.; Kenig, C. E.; Tataru, D. 83 2008 ...and 178 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,648 Authors 136 Kenig, Carlos Eduardo 66 Mitrea, Marius 58 Ponce, Gustavo 54 Guo, Boling 54 Vega, Luis 52 Hofmann, Steve 45 Linares, Felipe 44 Himonas, A. Alexandrou 39 Mayboroda, Svitlana 39 Merle, Frank 37 Tataru, Daniel 36 Hayashi, Nakao 34 Byun, Sun-Sig 34 Nyström, Kaj 34 Salo, Mikko 33 Martel, Yvan 32 Miao, Changxing 32 Uhlmann, Gunther Alberto 31 Shen, Zhongwei 31 Zhang, Bingyu 30 Toro, Tatiana 29 Pipher, Jill Catherine 28 Naumkin, Pavel Ivanovich 28 Saanouni, Tarek 28 Sire, Yannick 28 Tzvetkov, Nikolay 28 Vazquez, Juan Luis 27 Wang, Baoxiang 26 Mitrea, Irina 25 Mitrea, Dorina 25 Molinet, Luc 25 Saut, Jean-Claude 24 Dong, Hongjie 24 Guo, Zihua 24 Shahgholian, Henrik 24 Wei, Juncheng 24 Yan, Wei 23 Esfahani, Amin 23 Lassas, Matti J. 23 Maz’ya, Vladimir Gilelevich 23 Wendland, Wolfgang L. 23 Zheng, Jiqiang 22 Dindoš, Martin 22 Garofalo, Nicola 22 Martell, José María (Chema) 22 Muñoz, Claudio 22 Nakanishi, Kenji 22 Otárola, Enrique 22 Panthee, Mahendra 22 Wang, Lihe 22 Xue, Qingying 21 Carvajal, Xavier Paredes 21 Duyckaerts, Thomas 21 Grafakos, Loukas 21 Kohr, Mirela 21 Li, Yongsheng 21 Medková, Dagmar 21 Tao, Terence 20 Caffarelli, Luis Ángel 20 David, Guy 20 Koch, Herbert 20 Pastor, Ademir 20 Staffilani, Gigliola 19 Escauriaza Zubiria, Luis 19 Farah, Luiz Gustavo 19 Lee, Sanghyuk 19 Liu, Yue 19 Oh, Tadahiro 19 Yang, Dachun 18 Brown, Russell Murray 18 Chen, Jiecheng 18 Huo, Zhaohui 18 Jerison, David S. 18 Krieger, Joachim 18 Lawrie, Andrew G. W. 18 Raphael, Pierre 17 Cui, Shangbin 17 Dahlke, Stephan 17 Huang, Jianhua 17 Hui, Kin Ming 17 Lar’kin, Nikolaj Andreevich 17 Lewis, John L. 17 Pilod, Didier 17 Schlag, Wilhelm 17 Wang, Ming 17 Yang, Sibei 17 Zhao, Lifeng 16 Banerjee, Agnid 16 Côte, Raphaël 16 Dinh, Van Duong 16 Isaza, Pedro 16 Lin, Fang Hua 16 Lu, Guozhen 16 Mourgoglou, Mihalis 16 Ozawa, Tohru 16 Rüland, Angkana 16 Sogge, Christopher D. 16 Tolsa, Xavier 16 Verchota, Gregory C. 16 Visan, Monica ...and 4,548 more Authors all top 5 Cited in 421 Serials 398 Journal of Differential Equations 288 Journal of Mathematical Analysis and Applications 261 Journal of Functional Analysis 221 Nonlinear Analysis. Theory, Methods & Applications. 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Second Series ...and 321 more Serials all top 5 Cited in 54 Fields 5,201 Partial differential equations (35-XX) 768 Harmonic analysis on Euclidean spaces (42-XX) 608 Fluid mechanics (76-XX) 507 Operator theory (47-XX) 378 Potential theory (31-XX) 370 Functional analysis (46-XX) 311 Dynamical systems and ergodic theory (37-XX) 281 Numerical analysis (65-XX) 253 Global analysis, analysis on manifolds (58-XX) 218 Calculus of variations and optimal control; optimization (49-XX) 217 Quantum theory (81-XX) 204 Probability theory and stochastic processes (60-XX) 197 Real functions (26-XX) 149 Functions of a complex variable (30-XX) 145 Mechanics of deformable solids (74-XX) 138 Statistical mechanics, structure of matter (82-XX) 136 Optics, electromagnetic theory (78-XX) 133 Differential geometry (53-XX) 114 Measure and integration (28-XX) 81 Systems theory; control (93-XX) 78 Several complex variables and analytic spaces (32-XX) 63 Integral equations (45-XX) 60 Ordinary differential equations (34-XX) 48 Geophysics (86-XX) 42 Abstract harmonic analysis (43-XX) 38 Integral transforms, operational calculus (44-XX) 35 Biology and other natural sciences (92-XX) 23 Classical thermodynamics, heat transfer (80-XX) 22 Special functions (33-XX) 22 Difference and functional equations (39-XX) 21 Approximations and expansions (41-XX) 19 Relativity and gravitational theory (83-XX) 16 Topological groups, Lie groups (22-XX) 14 Mechanics of particles and systems (70-XX) 13 History and biography (01-XX) 10 General and overarching topics; collections (00-XX) 10 General topology (54-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Convex and discrete geometry (52-XX) 9 Operations research, mathematical programming (90-XX) 8 Combinatorics (05-XX) 7 Manifolds and cell complexes (57-XX) 6 Number theory (11-XX) 6 Geometry (51-XX) 6 Computer science (68-XX) 5 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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