Edit Profile Kenig, Carlos Eduardo Compute Distance To: Compute Author ID: kenig.carlos-e Published as: Kenig, C.; Kenig, C. E.; Kenig, Carlos; Kenig, Carlos E.; Kenig, K. Eh. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 294 Publications since 1975, including 8 Books all top 5 Co-Authors 38 single-authored 48 Ponce, Gustavo 48 Vega, Luis 22 Merle, Frank 18 Jerison, David S. 16 Ionescu, Alexandru D. 15 Dahlberg, Bjorn E. J. 15 Pipher, Jill Catherine 14 Fabes, Eugene B. 13 Duyckaerts, Thomas 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 Verchota, Gregory C. 4 Ziesler, Sarah N. 3 Martel, Yvan 3 Mayboroda, Svitlana 3 Ni, Wei-Ming 3 Pilod, Didier 3 Ruiz, Alberto 3 Sjöstrand, Johannes 3 Sogge, Christopher D. 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 Jia, Hao 2 Liu, Baoping 2 Nadirashvili, Nikolai S. 2 Porta, Horacio A. 2 Prange, Christophe 2 Rolvung, Christian 2 Sadosky, Cora 2 Wang, Wensheng 2 Webster, Sidney M. 1 Adolfsson, Vilhelm 1 Athanasopoulos, Ioannis 1 Barceló, Bartolomé 1 Birnir, Bjorn 1 Capogna, Luca 1 Cowling, Michael G. 1 Cuenin, Jean-Claude 1 Cwikel, Michael 1 Daskalopoulos, Panagiota 1 David, Guy 1 Delort, Jean-Marc 1 Dindoš, Martin 1 Drinfeld, Vladimir Gershonovich 1 Grigor’yan, Alexander Asaturovich 1 Herr, Sebastian 1 Holliman, Curtis 1 Ilyashenko, Yulij Sergeevich 1 Jakobson, Dmitry 1 Jia, Hao 1 Jodeit, J. M. 1 Karakhanyan, Aram L. 1 Kirchheim, Bernd 1 Klainerman, Sergiu 1 Koch, Gabriel S. 1 Koenig, Kenneth D. 1 Korostelev, Alexander P. 1 Kuksin, Sergeĭ B. 1 Lamm, Tobias 1 Lanzani, Loredana 1 Linares, Felipe 1 Meyer, Yves F. 1 Misiołek, Gerard 1 Nahmod, Andrea R. 1 Neri, Umberto 1 Phipher, Jill 1 Pollack, Daniel 1 Preiss, David 1 Robbiano, Luc 1 Rule, David J. 1 Sagher, Yoram 1 Salsa, Sandro 1 Sarnak, Peter Clive 1 Serapioni, Raul Paolo 1 Shahgholian, Henrik 1 Shaw, Robert K. 1 Silvestre, Luis E. ...and 11 more Co-Authors all top 5 Serials 14 Transactions of the American Mathematical Society 12 Duke Mathematical Journal 11 Communications in Partial Differential Equations 10 Mathematical Research Letters 9 American Journal of Mathematics 9 Annals of Mathematics. Second Series 8 Communications in Mathematical Physics 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 Oberwolfach Reports 3 Studia Mathematica 3 Arkiv för Matematik 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 IMRN. International Mathematics Research Notices 3 The Journal of Geometric Analysis 3 Notices of the American Mathematical Society 2 Archive for Rational Mechanics and Analysis 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 255 Partial differential equations (35-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 35 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) 8 General and overarching topics; collections (00-XX) 8 Measure and integration (28-XX) 7 History and biography (01-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 Optics, electromagnetic theory (78-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-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 260 Publications have been cited 9,619 times in 4,984 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 536 1993 The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P. 352 1982 The inhomogeneous Dirichlet problem in Lipschitz domains. Zbl 0832.35034Jerison, David; Kenig, Carlos E. 331 1995 A bilinear estimate with applications to the KdV equation. Zbl 0848.35114Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 318 1996 Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 290 1991 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 274 2006 Boundary behavior of harmonic functions in non-tangentially accessible domains. Zbl 0514.31003Jerison, David S.; Kenig, Carlos E. 262 1982 Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 257 1991 Harmonic analysis techniques for second order elliptic boundary value problems: dedicated to the memory of Professor Antoni Zygmund. Zbl 0812.35001Kenig, Carlos E. 197 1994 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202Kenig, Carlos E.; Merle, Frank 182 2008 Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein). Zbl 0593.35119Jerison, David; Kenig, Carlos E. 171 1985 Multilinear estimates and fractional integration. Zbl 0952.42005Kenig, Carlos E.; Stein, Elias M. 168 1999 The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices. Zbl 0787.35090Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 165 1993 The Neumann problem on Lipschitz domains. Zbl 0471.35026Jerison, David S.; Kenig, Carlos E. 163 1981 On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 144 2001 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. 127 1987 The Dirichlet problem for the Stokes system on Lipschitz domains. Zbl 0685.35085Fabes, E. B.; Kenig, C. E.; Verchota, G. C. 116 1988 Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012Kenig, C. E.; Ruiz, A.; Sogge, C. D. 114 1987 Boundary value problems for the systems of elastostatics in Lipschitz domains. Zbl 0699.35073Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. 111 1988 The Calderón problem with partial data. Zbl 1127.35079Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 110 2007 Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 109 1993 On localization in the continuous Anderson-Bernoulli model in higher dimension. Zbl 1084.82005Bourgain, Jean; Kenig, Carlos E. 96 2005 Global well-posedness of the Benjamin–Ono equation in low-regularity spaces. Zbl 1123.35055Ionescu, Alexandru D.; Kenig, Carlos E. 95 2007 The theory of weights and the Dirichlet problem for elliptic equations. Zbl 0770.35014Fefferman, R. A.; Kenig, C. E.; Pipher, J. 88 1991 Non-uniform dependence for the periodic CH equation. Zbl 1193.35189Himonas, A. Alexandrou; Kenig, Carlos; Misiołek, Gerard 85 2010 Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242Himonas, A. Alexandrou; Kenig, Carlos 84 2009 The Wiener test for degenerate elliptic equations. Zbl 0488.35034Fabes, E. B.; Jerison, D. S.; Kenig, C. E. 79 1983 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 75 2009 Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 72 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. 71 2008 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 68 2012 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 67 2013 Free boundary regularity for harmonic measures and Poisson kernels. Zbl 0946.31001Kenig, Carlos E.; Toro, Tatiana 67 1999 Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 65 2013 The Neumann problem for elliptic equations with non-smooth coefficients. Zbl 0807.35030Kenig, Carlos E.; Pipher, Jill 65 1993 On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 64 1989 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 61 2011 Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 58 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. 57 2000 On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations. Zbl 1044.35072Kenig, Carlos E.; Koenig, Kenneth D. 56 2003 Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 56 1996 Hardy spaces, A//infinity, and singular integrals on chord-arc domains. Zbl 0509.30025Jerison, David S.; Kenig, Carlos E. 55 1982 The Dirichlet problem in non-smooth domains. Zbl 0434.35027Jerison, David S.; Kenig, Carlos E. 55 1981 Degenerate diffusions. Initial value problems and local regularity theory. Zbl 1205.35002Daskalopoulos, Panagiota; Kenig, Carlos E. 54 2007 Harmonic measure on locally flat domains. Zbl 0878.31002Kenig, Carlos E.; Toro, Tatiana 54 1997 Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure. Zbl 0551.35024Fabes, Eugene B.; Jerison, David S.; Kenig, Carlos E. 54 1984 Boundary value problems on Lipschitz domains. Zbl 0529.31007Jerison, David S.; Kenig, Carlos E. 53 1982 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. 52 2011 The generalized Korteweg-de Vries equation on the half line. Zbl 1041.35064Colliander, J. E.; Kenig, C. E. 51 2002 Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180Kenig, Carlos E.; Merle, Frank 50 2010 Higher-order nonlinear dispersive equations. Zbl 0810.35122Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 49 1994 Nonnegative solutions of the porous medium equation. Zbl 0547.35057Dahlberg, Bjorn E. J.; Kenig, Carlos E. 48 1984 Some new monotonicity theorems with applications to free boundary problems. Zbl 1142.35382Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 47 2002 Area integral estimates for elliptic differential operators with non- smooth coefficients. Zbl 0537.35025Dahlberg, Björn E. J.; Jerison, David S.; Kenig, Carlos E. 47 1984 Completely singular elliptic-harmonic measures. Zbl 0482.35020Caffarelli, Luis A.; Fabes, Eugene B.; Kenig, Carlos E. 47 1981 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 46 2012 Global energy minimizers for free boundary problems and full regularity in three dimensions. Zbl 1330.35545Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 46 2004 Poisson kernel characterization of Reifenberg flat chord arc domains. Zbl 1027.31005Kenig, Carlos E.; Toro, Tatiana 46 2003 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 44 2012 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 43 2014 On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 43 2007 On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 43 1995 Non-negative solutions of generalized porous medium equations. Zbl 0644.35057Dahlberg, Bjorn E. J.; Kenig, Carlos E. 43 1986 The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 42 2004 Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136Kenig, Carlos E.; Merle, Frank 41 2011 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 41 1996 The Dirichlet problem for elliptic equations with drift terms. Zbl 1113.35314Kenig, Carlos E.; Pipher, Jill 40 2001 The Dirichlet problem for the biharmonic equation in a Lipschitz domain. Zbl 0589.35040Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. 40 1986 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 39 2015 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 38 2013 On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 36 2006 Bilinear estimates and applications to 2d NLS. Zbl 0970.35142Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G. 36 2001 On the local and global well-posedness theory for the KP-I equation. Zbl 1072.35162Kenig, Carlos E. 34 2004 On the generalized Benjamin-Ono equation. Zbl 0804.35105Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 34 1994 Layer potential methods for elliptic homogenization problems. Zbl 1213.35063Kenig, Carlos; Shen, Zhongwei 33 2011 On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 33 2003 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 32 2011 Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Zbl 0907.35026Caffarelli, Luis A.; Kenig, Carlos E. 32 1998 Weighted \(H^p\) spaces on Lipschitz domains. Zbl 0434.42024Kenig, Carlos E. 31 1980 L\({}^ p\) estimates for the three-dimensional systems of elastostatics on Lipschitz domains. Zbl 0702.35076Dahlberg, B. E. J.; Kenig, C. E. 30 1990 An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Zbl 0559.35025Kenig, Carlos E.; Ni, Weiming 30 1984 The local hull of holomorphy of a surface in the space of two complex variables. Zbl 0489.32007Kenig, Carlos E.; Webster, Sidney M. 30 1982 Maximal operators defined by Fourier multipliers. Zbl 0442.42013Kenig, Carlos E.; Tomas, Peter A. 30 1980 Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 29 2014 A strong type (2,2) estimate for a maximal operator associated to the Schrödinger equation. Zbl 0525.42011Kenig, Carlos E.; Ruiz, Alberto 29 1983 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 27 2008 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 26 2010 On the support of solutions to the generalized KdV equation. Zbl 1001.35106Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 26 2002 Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313Kenig, Carlos E.; Pilod, Didier 25 2015 Recent progress in the Calderón problem with partial data. Zbl 1330.35534Kenig, Carlos; Salo, Mikko 25 2014 BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029Dindos, Martin; Kenig, Carlos; Pipher, Jill 25 2011 Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\). Zbl 1137.35068Ionescu, Alexandru D.; Kenig, Carlos E. 25 2007 An area-Dirichlet integral minimization problem. Zbl 1066.49002Athanasopoulos, I.; Caffarelli, L. A.; Kenig, C.; Salsa, S. 25 2001 Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant. Zbl 1031.28004David, Guy; Kenig, Carlos; Toro, Tatiana 25 2001 Soliton resolution along a sequence of times for the focusing energy critical wave equation. Zbl 1391.35276Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank 24 2017 An alternative approach to regularity for the Navier-Stokes equations in critical spaces. Zbl 1220.35119Kenig, Carlos E.; Koch, Gabriel S. 24 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. 23 2011 Global well-posedness for semilinear wave equations. Zbl 0961.35092Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 23 2000 Divergence of eigenfunction expansions. Zbl 0506.47014Kenig, C. E.; Stanton, R. J.; Tomas, P. A. 23 1982 Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339Kenig, C. E.; Ponce, G.; Vega, L. 5 2020 Exterior energy bounds for the critical wave equation close to the ground state. Zbl 1450.35157Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 1 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. 1 2020 The method of energy channels for nonlinear wave equations. Zbl 1437.35076Kenig, Carlos E. 2 2019 Scattering profile for global solutions of the energy-critical wave equation. Zbl 1437.35497Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank 2 2019 Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 7 2018 Construction of 2-peakon solutions and ill-posedness for the Novikov equation. Zbl 1392.35260Himonas, A. Alexandrou; Holliman, Curtis; Kenig, Carlos 6 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. 4 2018 Improved regularity in bumpy Lipschitz domains. Zbl 1397.35091Kenig, Carlos; Prange, Christophe 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 24 2017 Asymptotic decomposition for semilinear wave and equivariant wave map equations. Zbl 1391.35278Jia, Hao; Kenig, Carlos 8 2017 The Landis conjecture for variable coefficient second-order elliptic PDEs. Zbl 1375.35061Davey, Blair; Kenig, Carlos; Wang, Jenn-Nan 8 2017 \(L^p\) resolvent estimates for magnetic Schrödinger operators with unbounded background fields. Zbl 1372.35257Cuenin, Jean-Claude; Kenig, Carlos E. 3 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. 19 2016 Solutions of the focusing nonradial critical wave equation with the compactness property. Zbl 1348.35141Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 16 2016 Local well-posedness for the KdV hierarchy at high regularity. Zbl 1375.35449Kenig, Carlos E.; Pilod, Didier 9 2016 Concentration-compactness and universal profiles for the non-radial energy critical wave equation. Zbl 1339.35186Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 9 2016 Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 6 2016 Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel 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 Unique continuation for the elasticity system and a counterexample for second-order elliptic systems. Zbl 1408.35028Kenig, Carlos; Wang, Jenn-Nan 1 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 39 2015 Well-posedness for the fifth-order KdV equation in the energy space. Zbl 1320.35313Kenig, Carlos E.; Pilod, Didier 25 2015 Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 22 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 19 2015 Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. 17 2015 On Landis’ conjecture in the plane. Zbl 1320.35119Kenig, Carlos; Silvestre, Luis; Wang, Jenn-Nan 16 2015 Channels of energy for the linear radial wave equation. Zbl 1331.35209Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 13 2015 Uniform Lipschitz estimates in bumpy half-spaces. Zbl 1317.35043Kenig, Carlos; Prange, Christophe 11 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 10 2015 Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm 9 2015 Quantitative uniqueness estimates for second order elliptic equations with unbounded drift. Zbl 1326.35098Kenig, Carlos; Wang, Jenn-Nan 7 2015 Lectures on the energy critical nonlinear wave equation. Zbl 1329.35005Kenig, Carlos E. 3 2015 Periodic homogenization of Green and Neumann functions. Zbl 1300.35030Kenig, Carlos; Lin, Fanghua; Shen, Zhongwei 43 2014 Scattering for radial, bounded solutions of focusing supercritical wave equations. Zbl 1310.35171Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 29 2014 Recent progress in the Calderón problem with partial data. Zbl 1330.35534Kenig, Carlos; Salo, Mikko 25 2014 Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm 18 2014 On \(L^p\) resolvent estimates for Laplace-Beltrami operators on compact manifolds. Zbl 1302.35382Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko 12 2014 Energy partition for the linear radial wave equation. Zbl 1311.35022Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm 12 2014 A theorem of Paley-Wiener type for Schrödinger evolutions. Zbl 1308.35274Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 5 2014 Homogenization of elliptic systems with Neumann boundary conditions. Zbl 1277.35166Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 67 2013 Classification of the radial solutions of the focusing, energy-critical wave equation. Zbl 1308.35143Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 65 2013 The Calderón problem with partial data on manifolds and applications. Zbl 1335.35301Kenig, Carlos; Salo, Mikko 38 2013 Determining an unbounded potential from Cauchy data in admissible geometries. Zbl 1302.35436Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko 18 2013 Estimates of eigenvalues and eigenfunctions in periodic homogenization. Zbl 1292.35179Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 16 2013 Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D. 12 2013 Restriction for homogeneous polynomial surfaces in \(\mathbb R^3\). Zbl 1273.42008Carbery, A.; Kenig, C. E.; Ziesler, S. N. 8 2013 Convergence rates in \(L ^{2}\) for elliptic homogenization problems. Zbl 1258.35086Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei 68 2012 Profiles of bounded radial solutions of the focusing, energy-critical wave equation. Zbl 1258.35148Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank 46 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 44 2012 Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 16 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 61 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. 52 2011 Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications. Zbl 1241.35136Kenig, Carlos E.; Merle, Frank 41 2011 Layer potential methods for elliptic homogenization problems. Zbl 1213.35063Kenig, Carlos; Shen, Zhongwei 33 2011 Inverse problems for the anisotropic Maxwell equations. Zbl 1226.35086Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 32 2011 BMO solvability and the \(A_{\infty}\) condition for elliptic operators. Zbl 1215.42029Dindos, Martin; Kenig, Carlos; Pipher, Jill 25 2011 An alternative approach to regularity for the Navier-Stokes equations in critical spaces. Zbl 1220.35119Kenig, Carlos E.; Koch, Gabriel S. 24 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. 23 2011 Homogenization of elliptic boundary value problems in Lipschitz domains. Zbl 1223.35139Kenig, Carlos E.; Shen, Zhongwei 20 2011 Radial solutions to energy supercritical wave equations in odd dimensions. Zbl 1298.35119Kenig, Carlos E.; Merle, Frank 15 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. 13 2011 Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 11 2011 Reconstructions from boundary measurements on admissible manifolds. Zbl 1237.35160Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 8 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 85 2010 Scattering for \(\dot {H}^{1/2}\) bounded solutions to the cubic, defocusing NLS in 3 dimensions. Zbl 1188.35180Kenig, Carlos E.; Merle, Frank 50 2010 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 26 2010 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 22 2010 The Hardy uncertainty principle revisited. Zbl 1242.35017Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 20 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 84 2009 Limiting Carleman weights and anisotropic inverse problems. Zbl 1181.35327Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther 75 2009 Asymptotic stability of solitons for the Benjamin-Ono equation. Zbl 1247.35133Kenig, Carlos E.; Martel, Yvan 20 2009 The regularity and Neumann problem for non-symmetric elliptic operators. Zbl 1178.35155Kenig, Carlos E.; Rule, David J. 20 2009 Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. Zbl 1206.28002Kenig, C.; Preiss, D.; Toro, T. 15 2009 On the linearized local Calderón problem. Zbl 1198.31003Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 7 2009 Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. Zbl 1183.35202Kenig, Carlos E.; Merle, Frank 182 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. 71 2008 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 27 2008 Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 19 2008 Weak uniqueness and partial regularity for the composite membrane problem. Zbl 1154.35096Chanillo, Sagun; Kenig, Carlos E. 17 2008 Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\). Zbl 1154.49026Chanillo, Sagun; Kenig, Carlos E.; To, Tung 16 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 15 2008 Quantitave unique continuation, logarithmic convexity of Gaussian means and Hardy’s uncertainty principle. Zbl 1155.35450Kenig, Carlos E. 8 2008 Weighted low-regularity solutions of the KP-I initial-value problem. Zbl 1142.35076Colliander, J.; Ionescu, A. D.; Kenig, C. E.; Staffilani, G. 7 2008 The Calderón problem with partial data. Zbl 1127.35079Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 110 2007 Global well-posedness of the Benjamin–Ono equation in low-regularity spaces. Zbl 1123.35055Ionescu, Alexandru D.; Kenig, Carlos E. 95 2007 Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther 58 2007 Degenerate diffusions. Initial value problems and local regularity theory. Zbl 1205.35002Daskalopoulos, Panagiota; Kenig, Carlos E. 54 2007 On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 43 2007 ...and 160 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,907 Authors 123 Kenig, Carlos Eduardo 61 Mitrea, Marius 58 Ponce, Gustavo 52 Vega, Luis 42 Linares, Felipe 41 Hofmann, Steve 39 Guo, Boling 38 Himonas, A. Alexandrou 35 Shen, Zhongwei 34 Merle, Frank 31 Nyström, Kaj 31 Tataru, Daniel 29 Byun, Sun-Sig 29 Martel, Yvan 28 Vazquez, Juan Luis 27 Uhlmann, Gunther Alberto 26 Hayashi, Nakao 26 Mayboroda, Svitlana 25 Miao, Changxing 25 Salo, Mikko 25 Tzvetkov, Nikolay 25 Wang, Baoxiang 25 Zhang, Bingyu 24 Molinet, Luc 23 Maz’ya, Vladimir Gilelevich 23 Mitrea, Irina 23 Pipher, Jill Catherine 23 Toro, Tatiana 23 Wendland, Wolfgang L. 22 Mitrea, Dorina 22 Saut, Jean-Claude 21 Guo, Zihua 21 Kohr, Mirela 21 Medková, Dagmar 21 Wang, Lihe 20 Caffarelli, Luis Ángel 20 Lassas, Matti 20 Shahgholian, Henrik 20 Sire, Yannick 19 Carvajal, Xavier Paredes 19 Nakanishi, Kenji 19 Naumkin, Pavel Ivanovich 19 Tao, Terence 19 Wei, Juncheng 19 Xue, Qingying 18 Brown, Russell Murray 18 Escauriaza Zubiria, Luis 18 Koch, Herbert 18 Li, Yongsheng 18 Panthee, Mahendra 17 Cui, Shangbin 17 Dindoš, Martin 17 Esfahani, Amin 17 Farah, Luiz Gustavo 17 Garofalo, Nicola 17 Huo, Zhaohui 17 Isaza, Pedro 17 Liu, Yue 17 Martell, José María (Chema) 17 Schlag, Wilhelm 17 Staffilani, Gigliola 16 Grafakos, Loukas 16 Jerison, David S. 16 Mejía, Jorge 16 Muñoz, Claudio 16 Oh, Tadahiro 16 Pastor, Ademir 16 Pilod, Didier 16 Raphael, Pierre 16 Yan, Wei 15 Bejenaru, Ioan 15 Chen, Jiecheng 15 Dahlke, Stephan 15 Duyckaerts, Thomas 15 Hui, Kin Ming 15 Ionescu, Alexandru D. 15 Krieger, Joachim 15 Lewis, John L. 15 Otárola, Enrique 15 Tian, Lixin 15 Verchota, Gregory C. 15 Zhao, Lifeng 15 Zheng, Jiqiang 14 Auscher, Pascal 14 Azzam, Jonas 14 Bona, Jerry Lloyd 14 Huang, Jianhua 14 Larkin, Nikolai A. 14 Ozawa, Tohru 14 Saanouni, Tarek 14 Wang, Youde 14 Wu, Jiahong 14 Xu, Guixiang 13 David, Guy 13 Ding, Yong 13 Geng, Jun 13 Kukavica, Igor 13 Lu, Guozhen 13 Mourgoglou, Mihalis 13 Salgado, Abner J. ...and 3,807 more Authors all top 5 Cited in 361 Serials 337 Journal of Differential Equations 239 Journal of Mathematical Analysis and Applications 223 Journal of Functional Analysis 190 Nonlinear Analysis. 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Second Series 10 Zeitschrift für Analysis und ihre Anwendungen 10 Physica D 10 Taiwanese Journal of Mathematics 10 Boundary Value Problems 10 Frontiers of Mathematics in China 10 Journal of Spectral Theory 10 Journal of Function Spaces 10 Annals of PDE 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Computational Physics 9 Journal für die Reine und Angewandte Mathematik 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 SIAM Journal on Control and Optimization 9 SIAM Journal on Numerical Analysis 9 Stochastic Processes and their Applications ...and 261 more Serials all top 5 Cited in 53 Fields 4,058 Partial differential equations (35-XX) 581 Harmonic analysis on Euclidean spaces (42-XX) 469 Fluid mechanics (76-XX) 407 Operator theory (47-XX) 323 Potential theory (31-XX) 288 Functional analysis (46-XX) 234 Dynamical systems and ergodic theory (37-XX) 219 Numerical analysis (65-XX) 209 Global analysis, analysis on manifolds (58-XX) 185 Calculus of variations and optimal control; optimization (49-XX) 167 Probability theory and stochastic processes (60-XX) 154 Quantum theory (81-XX) 126 Real functions (26-XX) 122 Functions of a complex variable (30-XX) 116 Mechanics of deformable solids (74-XX) 105 Differential geometry (53-XX) 104 Optics, electromagnetic theory (78-XX) 103 Statistical mechanics, structure of matter (82-XX) 88 Measure and integration (28-XX) 67 Systems theory; control (93-XX) 59 Several complex variables and analytic spaces (32-XX) 58 Ordinary differential equations (34-XX) 50 Integral equations (45-XX) 39 Geophysics (86-XX) 35 Abstract harmonic analysis (43-XX) 31 Integral transforms, operational calculus (44-XX) 21 Biology and other natural sciences (92-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Special functions (33-XX) 17 Approximations and expansions (41-XX) 15 Difference and functional equations (39-XX) 15 Relativity and gravitational theory (83-XX) 12 Topological groups, Lie groups (22-XX) 10 Mechanics of particles and systems (70-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Convex and discrete geometry (52-XX) 8 General topology (54-XX) 8 Operations research, mathematical programming (90-XX) 7 History and biography (01-XX) 7 Combinatorics (05-XX) 7 Manifolds and cell complexes (57-XX) 6 Geometry (51-XX) 5 Statistics (62-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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