Edit Profile (opens in new tab) Kenig, Carlos Eduardo Compute Distance To: Compute Author ID: kenig.carlos-e Published as: Kenig, Carlos E.; Kenig, C. E.; Kenig, Carlos; Kenig, C.; Kenig, K. Eh. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 292 Publications since 1975, including 4 Books 9 Contributions as Editor · 1 Further Contribution Co-Authors: 112 Co-Authors with 261 Joint Publications 2,645 Co-Co-Authors all top 5 Co-Authors 38 single-authored 48 Ponce, Gustavo 48 Vega, Luis 24 Merle, Frank 18 Jerison, David S. 17 Ionescu, Alexandru D. 15 Dahlberg, Bjorn E. J. 15 Duyckaerts, Thomas 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 5 Bejenaru, Ioan 5 Caffarelli, Luis Ángel 5 Côte, Raphaël 5 Dos Santos Ferreira, David 5 Lin, Fang Hua 5 Tomas, Peter A. 5 Wang, Jenn-Nan 4 Himonas, A. Alexandrou 4 Martel, Yvan 4 Sogge, Christopher D. 4 Verchota, Gregory C. 4 Ziesler, Sarah N. 3 Mayboroda, Svitlana 3 Ni, Wei-Ming 3 Pilod, Didier 3 Ruiz, Alberto 3 Sjöstrand, Johannes 2 Bourgain, Jean 2 Carbery, Anthony 2 Chanillo, Sagun 2 Christ, Michael 2 Cui, Shangbin 2 Davey, Blair 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 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 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 1 Nahmod, Andrea R. 1 Neri, Umberto 1 Phipher, Jill ...and 30 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 Inventiones Mathematicae 8 Journal of Functional Analysis 8 Proceedings of the American Mathematical Society 7 Communications on Pure and Applied Mathematics 7 Advances in Mathematics 7 Journal of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 Revista Matemática Iberoamericana 5 Geometric and Functional Analysis. GAFA 5 Bulletin of the American Mathematical Society. New Series 4 Archive for Rational Mechanics and Analysis 4 IMRN. International Mathematics Research Notices 4 The Journal of Geometric Analysis 4 Notices of the American Mathematical Society 4 Oberwolfach Reports 3 Studia Mathematica 3 Arkiv för Matematik 3 Annales de l’Institut Fourier 3 Mathematische Annalen 2 Nonlinearity 2 Acta Mathematica 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 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 Revista de la Unión Matemática Argentina 1 Probability Theory and Related Fields 1 Forum Mathematicum 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 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 262 Partial differential equations (35-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 37 Potential theory (31-XX) 17 Fluid mechanics (76-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Functional analysis (46-XX) 14 Operator theory (47-XX) 9 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 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-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 264 Publications have been cited 10,650 times in 5,579 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 592 1993 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 396 1982 The inhomogeneous Dirichlet problem in Lipschitz domains. Zbl 0832.35034Jerison, David; Kenig, Carlos E. 366 1995 A bilinear estimate with applications to the KdV equation. Zbl 0848.35114Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 343 1996 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 329 2006 Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 311 1991 Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 293 1991 Boundary behavior of harmonic functions in non-tangentially accessible domains. Zbl 0514.31003Jerison, David S.; Kenig, Carlos E. 288 1982 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202Kenig, Carlos E.; Merle, Frank 211 2008 Multilinear estimates and fractional integration. Zbl 0952.42005Kenig, Carlos E.; Stein, Elias M. 191 1999 Harmonic analysis techniques for second order elliptic boundary value problems: dedicated to the memory of Professor Antoni Zygmund. Zbl 0812.35001Kenig, Carlos E. 188 1994 Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein). Zbl 0593.35119Jerison, David; Kenig, Carlos E. 186 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 176 1993 The Neumann problem on Lipschitz domains. Zbl 0471.35026Jerison, David S.; Kenig, Carlos E. 170 1981 On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 161 2001 Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012Kenig, C. E.; Ruiz, A.; Sogge, C. D. 141 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. 133 1987 The Dirichlet problem for the Stokes system on Lipschitz domains. Zbl 0685.35085Fabes, E. B.; Kenig, C. E.; Verchota, G. C. 128 1988 The Calderón problem with partial data. Zbl 1127.35079Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 122 2007 On localization in the continuous Anderson-Bernoulli model in higher dimension. Zbl 1084.82005Bourgain, Jean; Kenig, Carlos E. 116 2005 Boundary value problems for the systems of elastostatics in Lipschitz domains. Zbl 0699.35073Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. 115 1988 Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 113 1993 Global well-posedness of the Benjamin–Ono equation in low-regularity spaces. Zbl 1123.35055Ionescu, Alexandru D.; Kenig, Carlos E. 103 2007 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 98 2010 Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242Himonas, A. Alexandrou; Kenig, Carlos 95 2009 The theory of weights and the Dirichlet problem for elliptic equations. Zbl 0770.35014Fefferman, R. A.; Kenig, C. E.; Pipher, J. 95 1991 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 88 2009 The Wiener test for degenerate elliptic equations. Zbl 0488.35034Fabes, E. B.; Jerison, D. S.; Kenig, C. E. 85 1983 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 80 2012 Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 79 1998 Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 77 2013 Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163Ionescu, A. D.; Kenig, C. E.; Tataru, D. 76 2008 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 73 2013 On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 71 1989 The Neumann problem for elliptic equations with non-smooth coefficients. Zbl 0807.35030Kenig, Carlos E.; Pipher, Jill 70 1993 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 69 2011 Free boundary regularity for harmonic measures and Poisson kernels. Zbl 0946.31001Kenig, Carlos E.; Toro, Tatiana 68 1999 On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations. Zbl 1044.35072Kenig, Carlos E.; Koenig, Kenneth D. 64 2003 The generalized Korteweg-de Vries equation on the half line. Zbl 1041.35064Colliander, J. E.; Kenig, C. E. 64 2002 Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 63 1996 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. 63 2000 Harmonic measure on locally flat domains. Zbl 0878.31002Kenig, Carlos E.; Toro, Tatiana 63 1997 Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 62 2007 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. 62 2011 The Dirichlet problem in non-smooth domains. Zbl 0434.35027Jerison, David S.; Kenig, Carlos E. 61 1981 Degenerate diffusions. Initial value problems and local regularity theory. Zbl 1205.35002Daskalopoulos, Panagiota; Kenig, Carlos E. 61 2007 Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure. Zbl 0551.35024Fabes, Eugene B.; Jerison, David S.; Kenig, Carlos E. 57 1984 Hardy spaces, A//infinity, and singular integrals on chord-arc domains. Zbl 0509.30025Jerison, David S.; Kenig, Carlos E. 56 1982 Higher-order nonlinear dispersive equations. Zbl 0810.35122Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 53 1994 Some new monotonicity theorems with applications to free boundary problems. Zbl 1142.35382Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 53 2002 Global energy minimizers for free boundary problems and full regularity in three dimensions. Zbl 1330.35545Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 52 2004 The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 51 2004 Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180Kenig, Carlos E.; Merle, Frank 51 2010 On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 50 1995 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 50 2012 Poisson kernel characterization of Reifenberg flat chord arc domains. Zbl 1027.31005Kenig, Carlos E.; Toro, Tatiana 49 2003 Completely singular elliptic-harmonic measures. Zbl 0482.35020Caffarelli, Luis A.; Fabes, Eugene B.; Kenig, Carlos E. 49 1981 Area integral estimates for elliptic differential operators with non- smooth coefficients. Zbl 0537.35025Dahlberg, Björn E. J.; Jerison, David S.; Kenig, Carlos E. 49 1984 Nonnegative solutions of the porous medium equation. Zbl 0547.35057Dahlberg, Bjorn E. J.; Kenig, Carlos E. 48 1984 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 48 2014 The Dirichlet problem for elliptic equations with drift terms. Zbl 1113.35314Kenig, Carlos E.; Pipher, Jill 48 2001 On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 48 2007 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 47 2012 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 46 2015 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 45 2013 Boundary value problems on Lipschitz domains. Zbl 0529.31007Jerison, David S.; Kenig, Carlos E. 43 1982 Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136Kenig, Carlos E.; Merle, Frank 43 2011 The Dirichlet problem for the biharmonic equation in a Lipschitz domain. Zbl 0589.35040Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. 42 1986 Non-negative solutions of generalized porous medium equations. Zbl 0644.35057Dahlberg, Bjorn E. J.; Kenig, Carlos E. 41 1986 Area integral estimates for higher order elliptic equations and systems. Zbl 0892.35053Dahlberg, Björn E. J.; Kenig, C. E.; Pipher, J.; Verchota, G. C. 41 1997 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 local and global well-posedness theory for the KP-I equation. Zbl 1072.35162Kenig, Carlos E. 39 2004 On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 39 2006 Bilinear estimates and applications to 2d NLS. Zbl 0970.35142Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G. 38 2001 On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 36 2003 On the generalized Benjamin-Ono equation. Zbl 0804.35105Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 36 1994 Layer potential methods for elliptic homogenization problems. Zbl 1213.35063Kenig, Carlos; Shen, Zhongwei 36 2011 The local hull of holomorphy of a surface in the space of two complex variables. Zbl 0489.32007Kenig, Carlos E.; Webster, Sidney M. 34 1982 Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank 34 2017 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 34 2011 Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 33 2014 Weighted \(H^p\) spaces on Lipschitz domains. Zbl 0434.42024Kenig, Carlos E. 33 1980 Maximal operators defined by Fourier multipliers. Zbl 0442.42013Kenig, Carlos E.; Tomas, Peter A. 33 1980 Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Zbl 0907.35026Caffarelli, Luis A.; Kenig, Carlos E. 33 1998 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 32 2008 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. 31 2011 An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Zbl 0559.35025Kenig, Carlos E.; Ni, Weiming 30 1984 A strong type (2,2) estimate for a maximal operator associated to the Schrödinger equation. Zbl 0525.42011Kenig, Carlos E.; Ruiz, Alberto 30 1983 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 30 2010 BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029Dindos, Martin; Kenig, Carlos; Pipher, Jill 30 2011 Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\). Zbl 1137.35068Ionescu, Alexandru D.; Kenig, Carlos E. 30 2007 Recent progress in the Calderón problem with partial data. Zbl 1330.35534Kenig, Carlos; Salo, Mikko 29 2014 An area-Dirichlet integral minimization problem. Zbl 1066.49002Athanasopoulos, I.; Caffarelli, L. A.; Kenig, C.; Salsa, S. 28 2001 Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313Kenig, Carlos E.; Pilod, Didier 28 2015 On the support of solutions to the generalized KdV equation. Zbl 1001.35106Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 28 2002 Multilinear square functions and partial differential equations. Zbl 0655.35007Fabes, Eugene B.; Jerison, David S.; Kenig, Carlos E. 27 1985 Divergence of eigenfunction expansions. Zbl 0506.47014Kenig, C. E.; Stanton, R. J.; Tomas, P. A. 27 1982 L\({}^ p\) estimates for the three-dimensional systems of elastostatics on Lipschitz domains. Zbl 0702.35076Dahlberg, B. E. J.; Kenig, C. E. 27 1990 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 27 2010 Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant. Zbl 1031.28004David, Guy; Kenig, Carlos; Toro, Tatiana 26 2001 Propagation of smallness in elliptic periodic homogenization. Zbl 1456.35021Kenig, Carlos; Zhu, Jiuyi 2 2021 On the work of Jean Bourgain in nonlinear dispersive equations. Zbl 1462.35335Kenig, Carlos E. 2 2021 Decay estimates for nonradiative solutions of the energy-critical focusing wave equation. Zbl 1472.35050Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 1 2021 Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339Kenig, C. E.; Ponce, G.; Vega, L. 11 2020 Exterior energy bounds for the critical wave equation close to the ground state. Zbl 1450.35157Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 3 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. 2 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. 1 2020 Scattering profile for global solutions of the energy-critical wave equation. Zbl 1437.35497Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank 5 2019 The method of energy channels for nonlinear wave equations. Zbl 1437.35076Kenig, Carlos E. 2 2019 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 11 2018 Construction of 2-peakon solutions and ill-posedness for the Novikov equation. Zbl 1392.35260Himonas, A. Alexandrou; Holliman, Curtis; Kenig, Carlos 11 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. 5 2018 Improved regularity in bumpy Lipschitz domains. Zbl 1397.35091Kenig, Carlos; Prange, Christophe 4 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 2 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 34 2017 Asymptotic decomposition for semilinear wave and equivariant wave map equations. Zbl 1391.35278Jia, Hao; Kenig, Carlos 11 2017 The Landis conjecture for variable coefficient second-order elliptic PDEs. Zbl 1375.35061Davey, Blair; Kenig, Carlos; Wang, Jenn-Nan 11 2017 \(L^p\) resolvent estimates for magnetic Schrödinger operators with unbounded background fields. Zbl 1372.35257Cuenin, Jean-Claude; Kenig, Carlos E. 6 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. 25 2016 Solutions of the focusing nonradial critical wave equation with the compactness property. Zbl 1348.35141Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 22 2016 Local well-posedness for the KdV hierarchy at high regularity. Zbl 1375.35449Kenig, Carlos E.; Pilod, Didier 11 2016 Concentration-compactness and universal profiles for the non-radial energy critical wave equation. Zbl 1339.35186Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 11 2016 Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel 7 2016 Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 7 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 46 2015 Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313Kenig, Carlos E.; Pilod, Didier 28 2015 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 24 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 22 2015 On Landis’ conjecture in the plane. Zbl 1320.35119Kenig, Carlos; Silvestre, Luis; Wang, Jenn-Nan 21 2015 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 20 2015 Channels of energy for the linear radial wave equation. Zbl 1331.35209Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 16 2015 Uniform Lipschitz estimates in bumpy half-spaces. Zbl 1317.35043Kenig, Carlos; Prange, Christophe 14 2015 Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 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 Quantitative uniqueness estimates for second order elliptic equations with unbounded drift. Zbl 1326.35098Kenig, Carlos; Wang, Jenn-Nan 9 2015 Lectures on the energy critical nonlinear wave equation. Zbl 1329.35005Kenig, Carlos E. 4 2015 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 48 2014 Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 33 2014 Recent progress in the Calderón problem with partial data. Zbl 1330.35534Kenig, Carlos; Salo, Mikko 29 2014 Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm 20 2014 On \(L^p\) resolvent estimates for Laplace-Beltrami operators on compact manifolds. Zbl 1302.35382Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko 19 2014 Energy partition for the linear radial wave equation. Zbl 1311.35022Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 14 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 77 2013 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 73 2013 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 45 2013 Determining an unbounded potential from Cauchy data in admissible geometries. Zbl 1302.35436Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko 20 2013 Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 18 2013 Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D. 14 2013 Restriction for homogeneous polynomial surfaces in \(\mathbb R^3\). Zbl 1273.42008Carbery, A.; Kenig, C. E.; Ziesler, S. N. 9 2013 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 80 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 50 2012 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 47 2012 Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 21 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 69 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. 62 2011 Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136Kenig, Carlos E.; Merle, Frank 43 2011 Layer potential methods for elliptic homogenization problems. Zbl 1213.35063Kenig, Carlos; Shen, Zhongwei 36 2011 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 34 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. 31 2011 BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029Dindos, Martin; Kenig, Carlos; Pipher, Jill 30 2011 An alternative approach to regularity for the Navier-Stokes equations in critical spaces. Zbl 1220.35119Kenig, Carlos E.; Koch, Gabriel S. 23 2011 Homogenization of elliptic boundary value problems in Lipschitz domains. Zbl 1223.35139Kenig, Carlos E.; Shen, Zhongwei 21 2011 Radial solutions to energy supercritical wave equations in odd dimensions. Zbl 1298.35119Kenig, Carlos E.; Merle, Frank 17 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 10 2011 On the stability of certain spin models in \(2+1\) dimensions. Zbl 1215.35145Bejenaru, I.; Ionescu, A. D.; Kenig, C. E. 3 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 98 2010 Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180Kenig, Carlos E.; Merle, Frank 51 2010 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 30 2010 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 27 2010 The Hardy uncertainty principle revisited. Zbl 1242.35017Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 22 2010 The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana 12 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. 1 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 95 2009 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 88 2009 Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133Kenig, Carlos E.; Martel, Yvan 26 2009 The regularity and Neumann problem for non-symmetric elliptic operators. Zbl 1178.35155Kenig, Carlos E.; Rule, David J. 21 2009 Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. Zbl 1206.28002Kenig, C.; Preiss, D.; Toro, T. 17 2009 On the linearized local Calderón problem. Zbl 1198.31003Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 12 2009 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202Kenig, Carlos E.; Merle, Frank 211 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. 76 2008 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 32 2008 Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 21 2008 Weak uniqueness and partial regularity for the composite membrane problem. Zbl 1154.35096Chanillo, Sagun; Kenig, Carlos E. 19 2008 Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\). Zbl 1154.49026Chanillo, Sagun; Kenig, Carlos E.; To, Tung 18 2008 Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system. Zbl 1170.35064Côte, Raphaël; Kenig, Carlos E.; Merle, Frank 16 2008 Quantitave unique continuation, logarithmic convexity of Gaussian means and Hardy’s uncertainty principle. Zbl 1155.35450Kenig, Carlos E. 11 2008 Weighted low-regularity solutions of the KP-I initial-value problem. Zbl 1142.35076Colliander, J.; Ionescu, A. D.; Kenig, C. E.; Staffilani, G. 8 2008 ...and 164 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,163 Authors 127 Kenig, Carlos Eduardo 62 Mitrea, Marius 58 Ponce, Gustavo 52 Vega, Luis 47 Hofmann, Steve 45 Linares, Felipe 43 Guo, Boling 43 Himonas, A. Alexandrou 38 Merle, Frank 35 Tataru, Daniel 33 Martel, Yvan 33 Mayboroda, Svitlana 33 Nyström, Kaj 31 Byun, Sun-Sig 31 Shen, Zhongwei 30 Hayashi, Nakao 30 Salo, Mikko 30 Uhlmann, Gunther Alberto 27 Pipher, Jill Catherine 27 Vazquez, Juan Luis 27 Zhang, Bingyu 26 Miao, Changxing 25 Molinet, Luc 25 Saut, Jean-Claude 25 Toro, Tatiana 25 Wang, Baoxiang 24 Mitrea, Irina 24 Sire, Yannick 24 Tzvetkov, Nikolay 23 Maz’ya, Vladimir Gilelevich 23 Mitrea, Dorina 23 Naumkin, Pavel Ivanovich 23 Shahgholian, Henrik 23 Wendland, Wolfgang L. 22 Guo, Zihua 22 Lassas, Matti J. 21 Esfahani, Amin 21 Kohr, Mirela 21 Medková, Dagmar 21 Saanouni, Tarek 21 Wang, Lihe 21 Wei, Juncheng 21 Xue, Qingying 20 Caffarelli, Luis Ángel 20 Carvajal, Xavier Paredes 20 Duyckaerts, Thomas 20 Grafakos, Loukas 20 Li, Yongsheng 20 Muñoz, Claudio 20 Panthee, Mahendra 20 Pastor, Ademir 20 Tao, Terence 20 Yan, Wei 19 Dindoš, Martin 19 Escauriaza Zubiria, Luis 19 Garofalo, Nicola 19 Koch, Herbert 19 Martell, José María (Chema) 18 Brown, Russell Murray 18 Dong, Hongjie 18 Jerison, David S. 18 Liu, Yue 18 Oh, Tadahiro 18 Otárola, Enrique 18 Staffilani, Gigliola 18 Zheng, Jiqiang 17 Cui, Shangbin 17 David, Guy 17 Farah, Luiz Gustavo 17 Huo, Zhaohui 17 Lar’kin, Nikolaj Andreevich 17 Nakanishi, Kenji 17 Raphael, Pierre 17 Schlag, Wilhelm 17 Zhao, Lifeng 16 Chen, Jiecheng 16 Dahlke, Stephan 16 Hui, Kin Ming 16 Isaza, Pedro 16 Lewis, John L. 16 Pilod, Didier 15 Bejenaru, Ioan 15 Bona, Jerry Lloyd 15 Côte, Raphaël 15 Huang, Jianhua 15 Ionescu, Alexandru D. 15 Krieger, Joachim 15 Mejía, Jorge 15 Mourgoglou, Mihalis 15 Musso, Monica 15 Ozawa, Tohru 15 Rüland, Angkana 15 Sogge, Christopher D. 15 Tian, Lixin 15 Valdinoci, Enrico 15 Visan, Monica 15 Wang, Ming 14 Auscher, Pascal 14 Azzam, Jonas 14 Dinh, Van Duong ...and 4,063 more Authors all top 5 Cited in 386 Serials 360 Journal of Differential Equations 258 Journal of Mathematical Analysis and Applications 238 Journal of Functional Analysis 206 Nonlinear Analysis. 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