Edit Profile (opens in new tab) Fefferman, Charles Louis Compute Distance To: Compute Author ID: fefferman.charles-louis Published as: Fefferman, Charles; Fefferman, C.; Fefferman, Charles L.; Fefferman, C. L.; Fefferman, Charles Louis; Fefferman, Charlie; Feffermann, Ch.; Fefferman, Ch. more...less Further Spellings: Фефферман Чарльз Луис Homepage: https://www.math.princeton.edu/directory/charles-fefferman External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Fields Medal (1978) · Wolf Prize (2017) Documents Indexed: 211 Publications since 1967, including 3 Books 4 Contributions as Editor · 5 Further Contributions Biographic References: 4 Publications Co-Authors: 80 Co-Authors with 155 Joint Publications 2,393 Co-Co-Authors all top 5 Co-Authors 64 single-authored 19 Seco, Luis Angel 17 Cordoba, Diego 15 Phong, Duong Hong 12 Luli, Garving K. 9 Castro, Ángel 9 Gancedo, Francisco 9 Israel, Arie 9 Rodrigo, José Luis 9 Weinstein, Michael I. 8 Donnelly, Harold 7 Córdoba Barba, Antonio Juan 6 Narasimhan, Raghavan 5 Beals, Richard W. 5 Gómez-Serrano, Javier 5 Kohn, Joseph J. 5 Wainger, Stephen 4 Constantin, Peter 4 Graf, Gian Michele 4 Graham, C. Robin 4 Ionescu, Alexandru D. 4 Klartag, Bo’az 4 Lee-Thorp, James P. 4 Stein, Elias Menachem 3 Fröhlich, Jürg Martin 3 Narayanan, Hariharan 3 Ricci, Fulvio 3 Robinson, James Cooper 2 Bugliaro, Luca 2 Cwikel, Michael 2 de la Llave, Rafael 2 Fontelos López, Marco Antonio 2 Guillén Pegueroles, Bernat 2 Ivanov, Sergei Vladimirovich 2 Lanzani, Loredana 2 Lassas, Matti J. 2 López-Fernández, María 2 McCormick, David S. 2 Nagel, Alexander 2 Pierce, Lillian B. 2 Rowley, Clarence W. 2 Sogge, Christopher D. 2 Tao, Terence 2 Weber, Melanie 2 Yau, Shing-Tung 1 Agmon, Shmuel 1 Ash, J. Marshall 1 Ash, Peter F. 1 Batchourine, Pavel 1 Beals, Michael 1 Beckner, William 1 Berestycki, Henri 1 Bierstone, Edward 1 Birindelli, Isabeau 1 Bombieri, Enrico 1 Brézis, Haïm 1 Bryant, Robert L. 1 Caffarelli, Luis Ángel 1 Carlson, James A. 1 Carruth, Jacob 1 Chang, Der-Chen E. 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Chau, Albert 1 Coifman, Ronald Raphaël 1 Cook, Stephen Arthur 1 Dafni, Galia 1 Damelin, Steven Benjamin 1 Guedes de Figueiredo, Djairo 1 Deligne, Pierre René 1 Eggl, Maximilian F. 1 Ekeland, Ivar 1 Falbel, Elisha 1 Fefferman, Robert A. 1 Friedman, Robert M. 1 Futaki, Akito 1 Glover, William 1 Gray, Jeremy John 1 Griffiths, Phillip Augustus 1 Grossman, Robert L. 1 Hirachi, Kengo 1 Ionescu, Alex 1 Ivrii, Victor Ja. 1 Jaffe, Arthur Michael 1 Jodeit, Max jun. 1 Jones, Roger L. 1 Kahane, Jean-Pierre 1 Kearn, Vickie 1 Kenig, Carlos Eduardo 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Knapp, Anthony William 1 Kohn, Robert Vita 1 Kollár, János 1 Krantz, Steven George 1 Kurylëv, Yaroslav Vadimovich 1 Lax, Peter David 1 Li, YanYan 1 Lie, Victor Daniel 1 Lin, Fang Hua 1 Lohoué, Noël ...and 44 more Co-Authors all top 5 Serials 31 Revista Matemática Iberoamericana 16 Proceedings of the National Academy of Sciences of the United States of America 15 Annals of Mathematics. Second Series 11 Communications in Mathematical Physics 11 Advances in Mathematics 6 Studia Mathematica 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 5 Archive for Rational Mechanics and Analysis 5 Communications on Pure and Applied Mathematics 5 Bulletin of the American Mathematical Society 3 Annales de l’Institut Fourier 3 Proceedings of the American Mathematical Society 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Notices of the American Mathematical Society 3 Mathematical Research Letters 2 Israel Journal of Mathematics 2 Nonlinearity 2 Acta Mathematica 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Pacific Journal of Mathematics 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 Discrete and Continuous Dynamical Systems 2 Princeton Mathematical Series 2 Annals of PDE 1 American Mathematical Monthly 1 Helvetica Physica Acta 1 Journal of Mathematical Physics 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 RIMS Kokyuroku 1 La Gaceta de la Real Sociedad Matemática Española 1 Foundations of Computational Mathematics 1 Annals of Mathematics Studies 1 London Mathematical Society Lecture Note Series 1 Involve 1 CBMS Regional Conference Series in Mathematics 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 80 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 32 Quantum theory (81-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 25 Several complex variables and analytic spaces (32-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Functional analysis (46-XX) 20 Numerical analysis (65-XX) 19 Real functions (26-XX) 16 Approximations and expansions (41-XX) 16 Differential geometry (53-XX) 14 Operator theory (47-XX) 12 Ordinary differential equations (34-XX) 11 History and biography (01-XX) 9 Algebraic geometry (14-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 6 Integral transforms, operational calculus (44-XX) 6 Computer science (68-XX) 5 Abstract harmonic analysis (43-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 183 Publications have been cited 7,250 times in 5,315 Documents Cited by ▼ Year ▼ \(H^p\) spaces of several variables. Zbl 0257.46078Fefferman, Charles Louis; Stein, Elias M. 1,243 1972 Weighted norm inequalities for maximal functions and singular integrals. Zbl 0291.44007Coifman, R. R.; Fefferman, C. 452 1974 Some maximal inequalities. Zbl 0222.26019Fefferman, Charles; Stein, Elias M. 401 1971 The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Zbl 0289.32012Fefferman, Charles 288 1974 The uncertainty principle. Zbl 0526.35080Fefferman, Charles L. 264 1983 Inequalities for strongly singular convolution operators. Zbl 0188.42601Fefferman, C. 240 1970 Nodal sets of eigenfunctions on Riemannian manifolds. Zbl 0659.58047Donnelly, Harold; Fefferman, Charles 172 1988 The multiplier problem for the ball. Zbl 0234.42009Fefferman, Charles 164 1971 Characterizations of bounded mean oscillation. Zbl 0229.46051Fefferman, Charles 145 1971 The ambient metric. Zbl 1243.53004Fefferman, Charles; Graham, C. Robin 139 2012 Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Zbl 0837.35113Constantin, Peter; Fefferman, Charles 125 1993 Wave packets and Fourier integral operators. Zbl 0389.35046Cordoba, Antonio; Fefferman, Charles 125 1978 Conformal invariants. Zbl 0602.53007Fefferman, Charles; Graham, C. Robin 114 1985 Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains. Zbl 0322.32012Fefferman, Charles L. 106 1976 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 105 1996 A note on spherical summation multipliers. Zbl 0262.42007Fefferman, Charles 97 1973 Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Zbl 1296.35142Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 95 2014 \(L^ 2\)-cohomology and index theorem for the Bergman metric. Zbl 0532.58027Donnelly, Harold; Fefferman, Charles 86 1983 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214Fefferman, Charles L.; Weinstein, Michael I. 81 2012 Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Zbl 1267.76033Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; López-Fernández, María 75 2012 Pointwise convergence of Fourier series. Zbl 0268.42009Fefferman, Charles 75 1973 Existence and smoothness of the Navier-Stokes equation. Zbl 1194.35002Fefferman, Charles L. 74 2006 On the convergence of multiple Fourier series. Zbl 0234.42008Fefferman, Charles 67 1971 Interpolation between H\(^p\) spaces: The real method. Zbl 0285.41006Fefferman, C.; Riviere, N. M.; Sagher, Y. 65 1974 Whitney’s extension problem for \(C^m\). Zbl 1109.58016Fefferman, Charles 63 2006 \(Q\)-curvature and Poincaré metrics. Zbl 1016.53031Fefferman, Charles; Graham, C. Robin 60 2002 Subelliptic eigenvalue problems. Zbl 0503.35071Fefferman, C.; Phong, D. H. 59 1983 A sharp form of Whitney’s extension theorem. Zbl 1102.58005Fefferman, Charles L. 58 2005 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195Fefferman, Charles L.; Weinstein, Michael I. 58 2014 L\(^p\) bounds for pseudo-differential operators. Zbl 0259.47045Fefferman, Charles 58 1973 Fundamental solutions for second order subelliptic operators. Zbl 0613.35002Fefferman, Charles L.; Sánchez-Calle, Antonio 58 1986 Ambient metric construction of \(Q\)-curvature in conformal and CR geometries. Zbl 1166.53309Fefferman, Charles; Hirachi, Kengo 57 2003 Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 56 2013 Spatially inhomogeneous pseudodifferential operators. I. Zbl 0279.35071Beals, Richard; Fefferman, Charles 56 1974 Relativistic stability of matter. I. Zbl 0602.58015Fefferman, C.; de la Llave, R. 54 1987 On positivity of pseudo-differential operators. Zbl 0391.35062Fefferman, C.; Phong, D. H. 53 1978 Parabolic invariant theory in complex analysis. Zbl 0444.32013Fefferman, Charles 52 1979 Breakdown of smoothness for the Muskat problem. Zbl 1293.35234Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 49 2013 Growth of solutions for QG and 2D Euler equations. Zbl 1013.76011Cordoba, Diego; Fefferman, Charles 48 2002 On the divergence of multiple Fourier series. Zbl 0212.09403Fefferman, C. 46 1971 On local solvability of linear partial differential equations. Zbl 0256.35002Beals, Richard; Fefferman, Charles 45 1973 Strictly pseudoconvex domains in \({\mathbb{C}}^ n\). Zbl 0546.32008Beals, Michael; Fefferman, Charles; Grossman, Robert 45 1983 The uncertainty principle and sharp Garding inequalities. Zbl 0458.35099Fefferman, C.; Phong, D. H. 44 1981 A weighted norm inequality for singular integrals. Zbl 0356.44003Cordoba, A.; Fefferman, C. 44 1976 Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Zbl 1359.35150Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 42 2017 Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds. Zbl 0649.35068Fefferman, Charles L.; Kohn, Joseph J. 38 1988 \(C^m\) extension by linear operators. Zbl 1161.46013Fefferman, Charles 36 2007 Nodal sets for eigenfunctions of the Laplacian on surfaces. Zbl 0702.58077Donnelly, Harold; Fefferman, Charles 35 1990 On squirt singularities in hydrodynamics. Zbl 1078.76018Córdoba, Diego; Fefferman, Charles; de la Llave, Rafael 33 2004 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 32 2018 Correction to ’Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains’. Zbl 0332.32018Fefferman, C. 32 1976 Whitney’s extension problems and interpolation of data. Zbl 1207.58011Fefferman, Charles 28 2009 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 28 2007 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 27 2016 Fitting a \(C^m\)-smooth function to data. I. Zbl 1175.41001Fefferman, Charles L.; Klartag, Bo’az 27 2009 On the absence of splash singularities in the case of two-fluid interfaces. Zbl 1346.35152Fefferman, Charles; Ionescu, Alexandru D.; Lie, Victor 27 2016 Extension of \(C^{m, \omega}\)-smooth functions by linear operators. Zbl 1173.46014Fefferman, Charles 26 2009 Fitting a \(C^m\)-smooth function to data. II. Zbl 1170.65006Fefferman, Charles; Klartag, Bo’az 26 2009 Interpolation and extrapolation of smooth functions by linear operators. Zbl 1084.58003Fefferman, Charles 26 2005 A generalized sharp Whitney theorem for jets. Zbl 1102.58004Fefferman, Charles 26 2005 Topologically protected states in one-dimensional systems. Zbl 1379.35076Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 25 2017 Juhl’s formulae for GJMS operators and \(Q\)-curvatures. Zbl 1276.53042Fefferman, Charles; Graham, C. Robin 25 2013 On the energy of a large atom. Zbl 0722.35072Fefferman, Charles L.; Seco, Luis A. 24 1990 Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 22 2016 Hölder estimates on CR manifolds with a diagonalizable Levi form. Zbl 0763.32004Fefferman, C. L.; Kohn, J. J.; Machedon, M. 21 1990 The Millennium Prize problems. Zbl 1155.00001 21 2006 On the collapse of tubes carried by 3D incompressible flows. Zbl 0999.76020Cordoba, Diego; Fefferman, Charles 20 2001 Behavior of several two-dimensional fluid equations in singular scenarios. Zbl 0965.35133Cordoba, Diego; Fefferman, Charles 19 2001 Testing the manifold hypothesis. Zbl 1359.62122Fefferman, Charles; Mitter, Sanjoy; Narayanan, Hariharan 19 2016 Splash singularity for water waves. Zbl 1256.76018Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier 19 2012 Sobolev extension by linear operators. Zbl 1290.46027Fefferman, Charles L.; Israel, Arie; Luli, Garving K. 19 2014 Fitting a \(C^m\)-smooth function to data. III. Zbl 1175.65025Fefferman, Charles 18 2009 The thermodynamic limit for a crystal. Zbl 0603.35079Fefferman, C. 18 1985 Two nonequivalent conditions for weight functions. Zbl 0318.26010Fefferman, Charles; Muckenhoupt, Benjamin 18 1974 Almost sharp fronts for the surface quasi-geostrophic equation. Zbl 1063.76011Córdoba, Diego; Fefferman, Charles; Rodrigo, José Luis 17 2004 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 17 2014 Scalars convected by a two-dimensional incompressible flow. Zbl 1019.76013Cordoba, Diego; Fefferman, Charles 17 2002 Turning waves and breakdown for incompressible flows. Zbl 1256.76019Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María 16 2011 Asymptotic neutrality of large ions. Zbl 0695.60098Fefferman, Charles L.; Seco, Luis A. 15 1990 Finiteness principles for smooth selection. Zbl 1353.58004Fefferman, Charles; Israel, Arie; Luli, Garving K. 15 2016 Estimates for double Hilbert transforms. Zbl 0239.44006Fefferman, Charles 15 1972 The canonical seminorm on weak \(L^ 1\). Zbl 0574.46020Cwikel, Michael; Fefferman, Charles 15 1984 Analytic sharp fronts for the surface quasi-geostrophic equation. Zbl 1228.35010Fefferman, Charles; Rodrigo, José L. 15 2011 Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele 14 1997 Stability of Coulomb systems in a magnetic field. Zbl 0826.35101Fefferman, Charles 14 1995 Interpolation of data by smooth nonnegative functions. Zbl 1366.65010Fefferman, Charles; Israel, Arie; Luli, Garving K. 14 2017 Almost sharp fronts for SQG: the limit equations. Zbl 1272.35006Fefferman, Charles; Rodrigo, José L. 13 2012 Finite time singularities for water waves with surface tension. Zbl 1328.76012Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 12 2012 A Radon-Nikodym theorem for finitely additive set functions. Zbl 0181.14801Fefferman, C. 12 1967 Can one learn history from the allelic spectrum? Zbl 1209.92045Myers, Simon; Fefferman, Charles; Patterson, Nick 12 2008 Estimates of kernels on three-dimensional CR manifolds. Zbl 0696.32009Fefferman, C. L.; Kohn, J. J. 11 1988 On the polynomial-like behaviour of certain algebraic functions. Zbl 0811.14046Fefferman, Charles; Narasimhan, Raghavan 11 1994 On the Dirac and Schwinger corrections to the ground-state energy of an atom. Zbl 0820.35113Fefferman, C.; Seco, L. A. 11 1994 Growth and geometry of eigenfunctions of the Laplacian. Zbl 0699.58063Donnelly, H.; Fefferman, C. 11 1990 Defect modes for dislocated periodic media. Zbl 07220093Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 11 2020 Bernstein’s inequality on algebraic curves. Zbl 0842.26013Fefferman, Charles; Narasimhan, Raghavan 10 1993 The atomic and molecular nature of matter. Zbl 0621.60120Fefferman, Charles L. 10 1985 The spine of an SQG almost-sharp front. Zbl 1235.76019Fefferman, Charles; Luli, Garving; Rodrigo, Jose 10 2012 Maximal seminorms on Weak \(L^ 1\). Zbl 0459.46022Cwikel, Michael; Fefferman, Charles 9 1980 Reconstructing a neural net from its output. Zbl 0877.68098Fefferman, Charles 9 1994 Lower bound on quantum tunneling for strong magnetic fields. Zbl 1485.81054Fefferman, Charles; Shapiro, Jacob; Weinstein, Michael I. 1 2022 Solutions to a system of equations for \(C^m\) functions. Zbl 1482.14059Fefferman, Charles; Luli, Garving K. 1 2021 Generators for the \(C^m\)-closures of ideals. Zbl 1473.13025Fefferman, Charles; Luli, Garving K. 1 2021 Efficient algorithms for approximate smooth selection. Zbl 1482.46036Fefferman, Charles; Guillén Pegueroles, Bernat 1 2021 Non-conservation of dimension in divergence-free solutions of passive and active scalar systems. Zbl 1477.35209Fefferman, Charles L.; Pooley, Benjamin C.; Rodrigo, José L. 1 2021 Defect modes for dislocated periodic media. Zbl 07220093Drouot, A.; Fefferman, C. L.; Weinstein, M. I. 11 2020 Continuum Schrödinger operators for sharply terminated graphene-like structures. Zbl 1454.82053Fefferman, C. L.; Weinstein, M. I. 6 2020 Reconstruction and interpolation of manifolds. I: The geometric Whitney problem. Zbl 1470.53045Fefferman, Charles; Ivanov, Sergei; Kurylev, Yaroslav; Lassas, Matti; Narayanan, Hariharan 4 2020 Fitting smooth functions to data. Zbl 07314183Fefferman, Charles; Israel, Arie 3 2020 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 1 2020 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 7 2019 Honeycomb Schrödinger operators in the strong binding regime. Zbl 1414.35061Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 32 2018 Sharp finiteness principles for Lipschitz selections. Zbl 1412.46044Fefferman, Charles; Shvartsman, Pavel 4 2018 Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Zbl 1359.35150Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 42 2017 Topologically protected states in one-dimensional systems. Zbl 1379.35076Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 25 2017 Interpolation of data by smooth nonnegative functions. Zbl 1366.65010Fefferman, Charles; Israel, Arie; Luli, Garving K. 14 2017 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 27 2016 On the absence of splash singularities in the case of two-fluid interfaces. Zbl 1346.35152Fefferman, Charles; Ionescu, Alexandru D.; Lie, Victor 27 2016 Splash singularities for the one-phase Muskat problem in stable regimes. Zbl 1350.35151Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 22 2016 Testing the manifold hypothesis. Zbl 1359.62122Fefferman, Charles; Mitter, Sanjoy; Narayanan, Hariharan 19 2016 Finiteness principles for smooth selection. Zbl 1353.58004Fefferman, Charles; Israel, Arie; Luli, Garving K. 15 2016 Fitting a Sobolev function to data. I. Zbl 1338.65028Fefferman, Charles; Israel, Arie; Luli, Garving K. 6 2016 Fitting a Sobolev function to data. II. Zbl 1386.65068Fefferman, Charles; Israel, Arie; Luli, Garving 4 2016 Fitting a Sobolev function to data. III. Zbl 1386.65069Fefferman, Charles; Israel, Arie; Luli, Garving K. 4 2016 Construction of almost-sharp fronts for the Surface Quasi-Geostrophic equation. Zbl 1323.35146Fefferman, Charles L.; Rodrigo, José L. 7 2015 Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Zbl 1296.35142Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 95 2014 Wave packets in honeycomb structures and two-dimensional Dirac equations. Zbl 1292.35195Fefferman, Charles L.; Weinstein, Michael I. 58 2014 Sobolev extension by linear operators. Zbl 1290.46027Fefferman, Charles L.; Israel, Arie; Luli, Garving K. 19 2014 Topologically protected states in one-dimensional continuous systems and Dirac points. Zbl 1355.34124Fefferman, Charles L.; Lee-Thorp, James P.; Weinstein, Michael I. 17 2014 The Brenner-Hochster-Kollár and Whitney problems for vector-valued functions and jets. Zbl 1309.46011Fefferman, Charles; Luli, Garving K. 6 2014 Structural stability for the splash singularities of the water waves problem. Zbl 1299.76022Castro, Angel; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 5 2014 No-splash theorems for fluid interfaces. Zbl 1355.76020Fefferman, Charles L. 2 2014 The structure of Sobolev extension operators. Zbl 1321.46036Fefferman, Charles; Israel, Arie; Luli, Garving K. 2 2014 Selected theorems by Eli Stein. Zbl 1297.42001Fefferman, Charles 1 2014 Finite time singularities for the free boundary incompressible Euler equations. Zbl 1291.35199Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 56 2013 Breakdown of smoothness for the Muskat problem. Zbl 1293.35234Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco 49 2013 Juhl’s formulae for GJMS operators and \(Q\)-curvatures. Zbl 1276.53042Fefferman, Charles; Graham, C. Robin 25 2013 Continuous solutions of linear equations. Zbl 1263.15003Fefferman, Charles; Kollár, János 9 2013 Smooth interpolation of data by efficient algorithms. Zbl 1317.41002Fefferman, C. 1 2013 The ambient metric. Zbl 1243.53004Fefferman, Charles; Graham, C. Robin 139 2012 Honeycomb lattice potentials and Dirac points. Zbl 1316.35214Fefferman, Charles L.; Weinstein, Michael I. 81 2012 Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Zbl 1267.76033Castro, Ángel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; López-Fernández, María 75 2012 Splash singularity for water waves. Zbl 1256.76018Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Gómez-Serrano, Javier 19 2012 Almost sharp fronts for SQG: the limit equations. Zbl 1272.35006Fefferman, Charles; Rodrigo, José L. 13 2012 Finite time singularities for water waves with surface tension. Zbl 1328.76012Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 12 2012 The spine of an SQG almost-sharp front. Zbl 1235.76019Fefferman, Charles; Luli, Garving; Rodrigo, Jose 10 2012 Some examples of \(C^\infty\) extension by linear operators. Zbl 1242.47014Fefferman, Charles; Ricci, Fulvio 3 2012 A BMO theorem for \(\epsilon\)-distorted diffeomorphisms on \(\mathbb R^D\) and an application to comparing manifolds of speech and sound. Zbl 1268.42039Fefferman, Charles; Damelin, Steven B.; Glover, William 3 2012 Nearly optimal interpolation of data in \(C^2 (\mathbb{R}^2)\). I. Zbl 1275.65007Fefferman, Charles 1 2012 Turning waves and breakdown for incompressible flows. Zbl 1256.76019Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María 16 2011 Analytic sharp fronts for the surface quasi-geostrophic equation. Zbl 1228.35010Fefferman, Charles; Rodrigo, José L. 15 2011 The jet of an interpolant on a finite set. Zbl 1217.49024Fefferman, Charles; Israel, Arie 2 2011 Interpolation by linear programming. I. Zbl 1217.65029Fefferman, Charles 1 2011 The \(C^m\) norm of a function with prescribed jets. I. Zbl 1228.42021Fefferman, Charles 8 2010 Whitney’s extension problems and interpolation of data. Zbl 1207.58011Fefferman, Charles 28 2009 Fitting a \(C^m\)-smooth function to data. I. Zbl 1175.41001Fefferman, Charles L.; Klartag, Bo’az 27 2009 Extension of \(C^{m, \omega}\)-smooth functions by linear operators. Zbl 1173.46014Fefferman, Charles 26 2009 Fitting a \(C^m\)-smooth function to data. II. Zbl 1170.65006Fefferman, Charles; Klartag, Bo’az 26 2009 Fitting a \(C^m\)-smooth function to data. III. Zbl 1175.65025Fefferman, Charles 18 2009 An example related to Whitney extension with almost minimal \(C^m\) norm. Zbl 1180.65013Fefferman, Charles; Klartag, Bo’az 5 2009 The \(C^m\) norm of a function with prescribed jets. II. Zbl 1172.65010Fefferman, Charles 5 2009 Can one learn history from the allelic spectrum? Zbl 1209.92045Myers, Simon; Fefferman, Charles; Patterson, Nick 12 2008 \(C^m\) extension by linear operators. Zbl 1161.46013Fefferman, Charles 36 2007 Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Zbl 1123.35043Constantin, P.; Fefferman, C.; Titi, E. S.; Zarnescu, A. 28 2007 The structure of linear extension operators for \(C^m\). Zbl 1120.41002Fefferman, Charles 8 2007 The work of Terence Tao. Zbl 1151.01012Fefferman, Charles 1 2007 Existence and smoothness of the Navier-Stokes equation. Zbl 1194.35002Fefferman, Charles L. 74 2006 Whitney’s extension problem for \(C^m\). Zbl 1109.58016Fefferman, Charles 63 2006 The Millennium Prize problems. Zbl 1155.00001 21 2006 Examples concerning Whitney’s \({\mathcal C}^m\) extension problem. Zbl 1109.58014Bierstone, Edward; Fefferman, Charles; Milman, Pierre D.; Pawłucki, Wiesław 2 2006 Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field. Zbl 1125.81320Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele 2 2006 A sharp form of Whitney’s extension theorem. Zbl 1102.58005Fefferman, Charles L. 58 2005 Interpolation and extrapolation of smooth functions by linear operators. Zbl 1084.58003Fefferman, Charles 26 2005 A generalized sharp Whitney theorem for jets. Zbl 1102.58004Fefferman, Charles 26 2005 On squirt singularities in hydrodynamics. Zbl 1078.76018Córdoba, Diego; Fefferman, Charles; de la Llave, Rafael 33 2004 Almost sharp fronts for the surface quasi-geostrophic equation. Zbl 1063.76011Córdoba, Diego; Fefferman, Charles; Rodrigo, José Luis 17 2004 A geometrical constraint for capillary jet breakup. Zbl 1061.35074Córdoba, A.; Córdoba, D.; Fefferman, C. L.; Fontelos, M. A. 2 2004 Ambient metric construction of \(Q\)-curvature in conformal and CR geometries. Zbl 1166.53309Fefferman, Charles; Hirachi, Kengo 57 2003 \(Q\)-curvature and Poincaré metrics. Zbl 1016.53031Fefferman, Charles; Graham, C. Robin 60 2002 Growth of solutions for QG and 2D Euler equations. Zbl 1013.76011Cordoba, Diego; Fefferman, Charles 48 2002 Scalars convected by a two-dimensional incompressible flow. Zbl 1019.76013Cordoba, Diego; Fefferman, Charles 17 2002 Drops: the collapse of capillary jets. Zbl 1063.76015Cordoba, Antonio; Cordoba, Diego; Fefferman, Charles; Fontelos, Marco A. 2 2002 On the collapse of tubes carried by 3D incompressible flows. Zbl 0999.76020Cordoba, Diego; Fefferman, Charles 20 2001 Behavior of several two-dimensional fluid equations in singular scenarios. Zbl 0965.35133Cordoba, Diego; Fefferman, Charles 19 2001 Potato chip singularities of 3D flows. Zbl 1073.76004Cordoba, Diego; Fefferman, Charles 4 2001 Editor’s note on papers by Harvey-Lawson and by Luk-Yau. Zbl 0954.32021Fefferman, Charles L. 1 2000 A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. II. Zbl 1109.81313Bugliaro, Luca; Fefferman, Charles; Graf, Gian Michele 2 1999 Bernstein inequalities for analytic and algebraic functions. Zbl 0945.32001Fefferman, Charles; Narasimhan, Raghavan 1 1999 Symplectic subunit balls and algebraic functions. Zbl 0942.35049Fefferman, Charles 1 1999 A note on joint analyticity. Zbl 0917.32010Fefferman, Charles L.; Narasimhan, Raghavan 1 1999 Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele 14 1997 A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. Zbl 0998.47049Bugliaro, L.; Fefferman, C.; Fröhlich, J.; Graf, G. M.; Stubbe, J. 7 1997 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 105 1996 On electrons and nuclei in a magnetic field. Zbl 0894.46050Fefferman, Charles 8 1996 A local Bernstein inequality on real algebraic varieties. Zbl 0911.32011Fefferman, Charles; Narasimhan, Raghavan 6 1996 Interval arithmetic in quantum mechanics. Zbl 0841.65067Fefferman, Charles L.; Seco, Luis A. 4 1996 The spin of the ground state of an atom. Zbl 0879.46039Fefferman, Charles L.; Seco, Luis A. 1 1996 The eigenvalue sum for a three-dimensional radial potential. Zbl 0845.34086Fefferman, C.; Seco, L. 1 1996 Stability of Coulomb systems in a magnetic field. Zbl 0826.35101Fefferman, Charles 14 1995 Bernstein’s inequality and the resolution of spaces of analytic functions. Zbl 0854.32006Fefferman, Charles; Narasimhan, Raghavan 6 1995 ...and 83 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,371 Authors 123 Yang, Dachun 74 Fefferman, Charles Louis 40 Yuan, Wen 38 Chae, Dongho 37 Gover, Ashwin Rod 36 Weisz, Ferenc 34 Krantz, Steven George 32 Cordoba, Diego 32 Yan, Lixin 30 Li, Ji 29 Hofmann, Steve 29 Lu, Guozhen 29 Xue, Qingying 28 Duong, Xuan Thinh 27 Osękowski, Adam 26 Kenig, Carlos Eduardo 25 Lu, Shanzhen 25 Seeger, Andreas 25 Xiao, Jie 24 Chang, Der-Chen E. 24 Grafakos, Loukas 24 Han, Yongsheng 24 Pérez, Carlos 24 Wu, Jiahong 22 Chen, Jiecheng 22 Gancedo, Francisco 22 Solovej, Jan Philip 22 Yang, Sibei 21 Fan, Dashan 21 Sawano, Yoshihiro 20 Ding, Yong 20 Stein, Elias Menachem 19 Lerner, Andrei K. 19 Lin, Chincheng 18 Constantin, Peter 18 Martell, José María (Chema) 18 Pipher, Jill Catherine 18 Tao, Terence 18 Weinstein, Michael I. 18 Zhang, Zhifei 17 Alazard, Thomas 17 Kukavica, Igor 17 Lee, Ming-Yi 16 Córdoba Barba, Antonio Juan 16 Mitrea, Marius 16 Ohsawa, Takeo 16 Sogge, Christopher D. 16 Vega, Luis 16 Wheeden, Richard Lee 16 Yabuta, Kôzô 15 Auscher, Pascal 15 Castro, Ángel 15 Hou, Thomas Yizhao 15 Huang, Jizheng 15 Liu, Yu 15 The Anh Bui 14 Cao, Jun 14 Chen, Bo-Yong 14 Christ, Michael 14 Fan, Jishan 14 Prestini, Elena 14 Ruzhansky, Michael V. 14 Sawyer, Eric T. 14 Song, Liang 13 Dragomir, Sorin 13 Gala, Sadek 13 Granero Belinchón, Rafael 13 Lee, Sanghyuk 13 Luli, Garving K. 13 Mayboroda, Svitlana 13 Nicola, Fabio 13 Pan, Yibiao 13 Pavlović, Miroslav 13 Shen, Zhongwei 13 Triebel, Hans 12 Bloshanskii, Igor L. 12 Chang, Sun-Yung Alice 12 Chanillo, Sagun 12 Cruz-Uribe, David Vincente 12 Guliyev, Vagif Sabir 12 Li, Baode 12 Lieb, Elliott Hershel 12 Liu, Liguang 12 Nakai, Eiichi 12 Rodrigo, José Luis 12 Thiele, Christoph Martin 12 Wigman, Igor 12 Zhu, Jiuyi 11 Cardona, Duván 11 Delgado, Julio 11 Dziubański, Jacek 11 Engliš, Miroslav 11 Gibbon, John D. 11 Graham, C. Robin 11 Ho, Kwok-Pun 11 Kokilashvili, Vakhtang Mikhailovich 11 Ky, Luong Dang 11 Lacey, Michael T. 11 Lewin, Mathieu 11 Liu, Jun ...and 4,271 more Authors all top 5 Cited in 470 Serials 235 Journal of Functional Analysis 221 Transactions of the American Mathematical Society 187 Journal of Mathematical Analysis and Applications 187 Advances in Mathematics 170 The Journal of Geometric Analysis 156 Proceedings of the American Mathematical Society 124 Communications in Mathematical Physics 102 The Journal of Fourier Analysis and Applications 101 Mathematische Annalen 100 Mathematische Zeitschrift 99 Journal of Differential Equations 86 Communications in Partial Differential Equations 77 Duke Mathematical Journal 72 Archive for Rational Mechanics and Analysis 69 Revista Matemática Iberoamericana 68 Arkiv för Matematik 68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 61 Annales de l’Institut Fourier 58 Journal of Mathematical Physics 51 Acta Mathematica Sinica. English Series 50 Journal d’Analyse Mathématique 49 Calculus of Variations and Partial Differential Equations 47 Inventiones Mathematicae 47 Journal of High Energy Physics 40 Bulletin of the American Mathematical Society. New Series 40 Potential Analysis 39 Science China. Mathematics 38 Tôhoku Mathematical Journal. Second Series 37 Annali di Matematica Pura ed Applicata. Serie Quarta 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 SIAM Journal on Mathematical Analysis 34 Integral Equations and Operator Theory 32 Analysis Mathematica 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 31 Mathematical Notes 31 Mathematische Nachrichten 30 Journal of Approximation Theory 29 Journal of the American Mathematical Society 28 Forum Mathematicum 28 Journal of Mathematical Sciences (New York) 27 Analysis & PDE 26 Applied and Computational Harmonic Analysis 26 Journal of Mathematical Fluid Mechanics 26 Journal of Pseudo-Differential Operators and Applications 25 Israel Journal of Mathematics 25 Journal of Function Spaces 24 Journal of Inequalities and Applications 24 Communications in Contemporary Mathematics 23 Rocky Mountain Journal of Mathematics 23 Archiv der Mathematik 23 Bulletin des Sciences Mathématiques 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Frontiers of Mathematics in China 22 Memoirs of the American Mathematical Society 22 Geometric and Functional Analysis. GAFA 22 Communications on Pure and Applied Analysis 21 Acta Mathematica 21 Differential Geometry and its Applications 20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 20 Physica D 20 Analysis and Mathematical Physics 19 Communications on Pure and Applied Mathematics 19 Journal of Geometry and Physics 19 Journal of Soviet Mathematics 19 Manuscripta Mathematica 19 Journal of Nonlinear Science 18 Applicable Analysis 18 Studia Mathematica 18 Journal of the European Mathematical Society (JEMS) 18 Complex Variables and Elliptic Equations 17 Collectanea Mathematica 17 Monatshefte für Mathematik 17 Banach Journal of Mathematical Analysis 16 Annals of Global Analysis and Geometry 16 Abstract and Applied Analysis 15 Nagoya Mathematical Journal 15 Proceedings of the Japan Academy. Series A 15 Acta Mathematica Hungarica 15 Science in China. Series A 15 Proceedings of the National Academy of Sciences of the United States of America 15 Revista Matemática Complutense 15 Annales Henri Poincaré 14 Publications of the Research Institute for Mathematical Sciences, Kyoto University 14 Siberian Mathematical Journal 14 Constructive Approximation 14 Annals of Mathematics. Second Series 14 Bulletin of the American Mathematical Society 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Czechoslovak Mathematical Journal 13 Journal of Function Spaces and Applications 13 Complex Analysis and Operator Theory 12 Nuclear Physics. B 12 Journal of the Mathematical Society of Japan 12 Pacific Journal of Mathematics 12 Acta Applicandae Mathematicae 12 Physics of Fluids 12 St. Petersburg Mathematical Journal 12 Annales Academiae Scientiarum Fennicae. Mathematica 12 Nonlinear Analysis. Real World Applications 12 Journal of Evolution Equations ...and 370 more Serials all top 5 Cited in 61 Fields 1,969 Partial differential equations (35-XX) 1,920 Harmonic analysis on Euclidean spaces (42-XX) 876 Functional analysis (46-XX) 655 Operator theory (47-XX) 610 Fluid mechanics (76-XX) 573 Several complex variables and analytic spaces (32-XX) 418 Differential geometry (53-XX) 400 Global analysis, analysis on manifolds (58-XX) 300 Quantum theory (81-XX) 243 Functions of a complex variable (30-XX) 212 Real functions (26-XX) 199 Abstract harmonic analysis (43-XX) 185 Probability theory and stochastic processes (60-XX) 174 Potential theory (31-XX) 127 Statistical mechanics, structure of matter (82-XX) 113 Numerical analysis (65-XX) 91 Relativity and gravitational theory (83-XX) 83 Approximations and expansions (41-XX) 76 Topological groups, Lie groups (22-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 69 Measure and integration (28-XX) 64 Integral transforms, operational calculus (44-XX) 61 Dynamical systems and ergodic theory (37-XX) 47 Geophysics (86-XX) 45 Ordinary differential equations (34-XX) 43 Information and communication theory, circuits (94-XX) 36 Integral equations (45-XX) 34 Number theory (11-XX) 33 Algebraic geometry (14-XX) 33 Computer science (68-XX) 31 Manifolds and cell complexes (57-XX) 30 Statistics (62-XX) 28 Special functions (33-XX) 28 Convex and discrete geometry (52-XX) 27 General topology (54-XX) 27 Optics, electromagnetic theory (78-XX) 26 Mechanics of deformable solids (74-XX) 24 Biology and other natural sciences (92-XX) 17 Sequences, series, summability (40-XX) 16 Systems theory; control (93-XX) 15 Combinatorics (05-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 History and biography (01-XX) 12 General and overarching topics; collections (00-XX) 12 Mechanics of particles and systems (70-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 9 Difference and functional equations (39-XX) 8 Geometry (51-XX) 7 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 6 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 6 Nonassociative rings and algebras (17-XX) 6 Astronomy and astrophysics (85-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 \(K\)-theory (19-XX) 3 Operations research, mathematical programming (90-XX) 2 Associative rings and algebras (16-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.