Edit Profile (opens in new tab) Vega, Luis Co-Author Distance Author ID: vega.luis Published as: Vega, Luis; Vega, L. Homepage: https://www.ehu.eus/luisvega/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 165 Publications since 1988, including 1 Book and 4 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 76 Co-Authors with 155 Joint Publications 2,037 Co-Co-Authors all top 5 Co-Authors 9 single-authored 53 Ponce, Gustavo 50 Kenig, Carlos Eduardo 14 Banica, Valeria 14 Escauriaza Zubiria, Luis 11 Visciglia, Nicola 10 Fanelli, Luca 9 Ruiz, Alberto 8 de la Hoz, Francisco 6 Arrizabalaga, Naiara 5 Duoandikoetxea, Javier 5 Vargas, Ana M. 4 Barceló, Juan Antonio 4 Kumar, Sandeep 4 Mas, Albert 4 Perthame, Benoît 3 Côte, Raphaël 3 Gutiérrez, Susana 3 Krejčiřík, David 3 Moyua, Adela 2 Alejo, Miguel A. 2 Bastero, Jesús 2 Correia, Simão 2 Dolbeault, Jean 2 Esteban, Maria J. 2 Fontelos López, Marco Antonio 2 Jabin, Pierre-Emmanuel 2 Linares, Felipe 2 Merle, Frank 2 Nahmod, Andrea R. 2 Pilod, Didier 2 Planchon, Fabrice 2 Ponce-Vanegas, Felipe E. 2 Rolvung, Christian 2 Roncal, Luz 2 Vilela, Mari Cruz 1 Agirre, Mikel 1 Angulo Pava, Jaime 1 Beltran, David 1 Birnir, Bjorn 1 Blasco, Oscar 1 Bona, Jerry Lloyd 1 Bravin, Marco 1 Carbery, Anthony 1 Cassano, Biagio 1 Cazenave, Thierry 1 Cowling, Michael G. 1 D’Ancona, Piero 1 Eceizabarrena, Daniel 1 Escobedo Martínez, Miguel 1 Fernández-Bertolin, Aingeru 1 García-Cervera, Carlos J. 1 Garcia, Claudia I. 1 Garciadiego, Alejandro R. 1 Goldberg, Michael Joseph 1 Gorria, Carlos 1 Grünrock, Axel 1 Hoàng Xuân Phù 1 Holden, Helge 1 Iakunin, Sergei 1 Laptev, Ari 1 Loss, Michael 1 Luca, Renato 1 Muñoz, Claudio 1 Ourmiéres-Bonafos, Thomas 1 Perelman, Galina 1 Pizzichillo, Fabio 1 Rivas, Judith 1 Rodríguez-Consuegra, Francisco A. 1 Rogers, Keith McKenzie 1 Rubio de Francia, José Luis 1 Sanz-Perela, Tomás 1 Shatah, Jalal 1 Sideris, Thomas C. 1 Stan, Diana 1 Svanstedt, Nils E. M. 1 Tao, Terence 1 Tzvetkov, Nikolay 1 Zeng, Chongchun 1 Zubeldia, Miren all top 5 Serials 12 Journal of Functional Analysis 8 Communications in Mathematical Physics 8 Communications in Partial Differential Equations 7 IMRN. International Mathematics Research Notices 6 Duke Mathematical Journal 6 Indiana University Mathematics Journal 6 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 4 Advances in Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of the London Mathematical Society. Second Series 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Nonlinear Science 4 Mathematical Research Letters 3 Nonlinearity 3 Journal of the American Mathematical Society 3 Publicacions Matemàtiques 3 SIAM Journal on Mathematical Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Mathematische Annalen 2 SIAM Journal on Applied Mathematics 2 Vietnam Journal of Mathematics 2 Revista Matemática Complutense 2 Journal of the European Mathematical Society (JEMS) 2 La Gaceta de la Real Sociedad Matemática Española 2 Communications on Pure and Applied Analysis 1 Journal of Computational Physics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Acta Applicandae Mathematicae 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 São Paulo Journal of Mathematical Sciences 1 Journal of Spectral Theory 1 Annals of PDE 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 150 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 18 Quantum theory (81-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 6 Real functions (26-XX) 6 Measure and integration (28-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 5,962 times in 3,171 Documents Cited by ▼ Year ▼ Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Zbl 0808.35128 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 731 1993 A bilinear estimate with applications to the KdV equation. Zbl 0848.35114 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 416 1996 Oscillatory integrals and regularity of dispersive equations. Zbl 0738.35022 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 391 1991 Well-posedness of the initial value problem for the Korteweg-de Vries equation. Zbl 0737.35102 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 387 1991 On the ill-posedness of some canonical dispersive equations. Zbl 1034.35145 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 209 2001 The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices. Zbl 0787.35090 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 205 1993 Schrödinger equations: Pointwise convergence to the initial data. Zbl 0654.42014 Vega, Luis 190 1988 Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 128 1993 A bilinear approach to the restriction and Kakeya conjectures. Zbl 0924.42008 Tao, Terence; Vargas, Ana; Vega, Luis 124 1998 Compactness at blow-up time for \(L^2\) solutions of the critical nonlinear Schrödinger equation in 2D. Zbl 0913.35126 Merle, F.; Vega, L. 103 1998 Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Zbl 0928.35158 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 93 1998 On the (generalized) Korteweg-de Vries equation. Zbl 0795.35105 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 89 1989 Quadratic forms for the 1-D semilinear Schrödinger equation. Zbl 0862.35111 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 77 1996 Bilinear virial identities and applications. Zbl 1192.35166 Planchon, Fabrice; Vega, Luis 72 2009 Schrödinger maximal function and restriction properties of the Fourier transform. Zbl 0868.35024 Moyua, A.; Vargas, A.; Vega, L. 71 1996 Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\). Zbl 0946.42011 Moyua, A.; Vargas, A.; Vega, L. 71 1999 Non interpolation in Morrey-Campanato and block spaces. Zbl 0955.46013 Blasco, Oscar; Ruiz, Alberto; Vega, Luis 71 1999 The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 70 2004 Higher-order nonlinear dispersive equations. Zbl 0810.35122 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 63 1994 On the Zakharov and Zakharov-Schulman systems. Zbl 0823.35158 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 59 1995 Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048 Perthame, Benoit; Vega, Luis 58 1999 On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 58 2007 Shell interactions for Dirac operators. Zbl 1297.81083 Arrizabalaga, Naiara; Mas, Albert; Vega, Luis 53 2014 On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 52 2006 Endpoint Strichartz estimates for the magnetic Schrödinger equation. Zbl 1188.81061 D’Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola 51 2010 A semilinear Dirac equation in \(H^ s(\mathbb{R}^ 3)\) for \(s>1\). Zbl 0877.35028 Escobedo, M.; Vega, L. 49 1997 Formation of singularities and self-similar vortex motion under the localized induction approximation. Zbl 1044.35089 Gutiérrez, Susana; Rivas, Judith; Vega, Luis 49 2003 Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite \(L^2\) norm. Zbl 1027.35134 Vargas, Ana; Vega, Luis 49 2001 On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112 Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis 45 1996 On the generalized Benjamin-Ono equation. Zbl 0804.35105 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 45 1994 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018 Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 45 2008 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008 Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 44 2010 A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions. Zbl 06918953 Ourmières-Bonafos, Thomas; Vega, Luis 41 2018 On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 41 2003 On local regularity of Schrödinger equations. Zbl 0812.35016 Ruiz, Alberto; Vega, Luis 40 1993 Weighted estimates for the Helmholtz equation and some applications. Zbl 0890.35028 Barcelo, J. A.; Ruiz, A.; Vega, L. 39 1997 Corrigenda to “Unique continuation for Schrödinger operators” and a remark on interpolation of Morrey spaces. Zbl 0849.47022 Ruiz, Alberto; Vega, Luis 38 1995 Almost-everywhere summability of Fourier integrals. Zbl 0631.42004 Carbery, Anthony; Rubio de Francia, José L.; Vega, Luis 37 1988 Vortex filament equation for a regular polygon. Zbl 1339.35300 de la Hoz, Francisco; Vega, Luis 36 2014 \(L^2\) stability of solitons for KdV equation. Zbl 1022.35061 Merle, F.; Vega, L. 36 2003 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296 Fanelli, Luca; Krejčiřík, David; Vega, Luis 34 2018 Carleman inequalities and the heat operator. II. Zbl 1029.35046 Escauriaza, Luis; Vega, Luis 33 2001 On the support of solutions to the generalized KdV equation. Zbl 1001.35106 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 32 2002 Shell interactions for Dirac operators: on the point spectrum and the confinement. Zbl 1314.81083 Arrizabalaga, Naiara; Mas, Albert; Vega, Luis 31 2015 Magnetic virial identities, weak dispersion and Strichartz inequalities. Zbl 1163.35005 Fanelli, Luca; Vega, Luis 31 2009 Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026 Goldberg, Michael; Vega, Luis; Visciglia, Nicola 31 2006 Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 30 2012 On the stability of a singular vortex dynamics. Zbl 1183.35029 Banica, V.; Vega, L. 29 2009 Global well-posedness for semilinear wave equations. Zbl 0961.35092 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 29 2000 Schrödinger maps and their associated frame systems. Zbl 1142.35087 Nahmod, Andrea; Shatah, Jalal; Vega, Luis; Zeng, Chongchun 28 2007 An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120 Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis 28 2004 Local regularity of solutions to wave equations with time-dependent potentials. Zbl 0826.35014 Ruiz, Alberto; Vega, Luis 27 1994 Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 27 2008 The Hardy uncertainty principle revisited. Zbl 1242.35017 Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 27 2010 On the concentration of blow up solutions for the generalized KdV equation critical in \(L^2\). Zbl 0970.35125 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 27 2000 Scattering for 1D cubic NLS and singular vortex dynamics. Zbl 1290.35235 Banica, Valeria; Vega, Luis 26 2012 On the existence of maximizers for a family of restriction theorems. Zbl 1225.42012 Fanelli, Luca; Vega, Luis; Visciglia, Nicola 26 2011 Unique continuation for Schrödinger operators with potential in Morrey spaces. Zbl 0809.47046 Ruiz, Alberto; Vega, Luis 25 1991 Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations. Zbl 1146.35020 Moyua, A.; Vega, L. 25 2008 The gardner equation and the \(L^2\)-stability of the \(N\)-soliton solution of the Korteweg-de Vries equation. Zbl 1278.35209 Alejo, Miguel A.; Muñoz, Claudio; Vega, Luis 24 2013 Nonlinear small data scattering for the generalized Korteweg-de Vries equation. Zbl 0771.35062 Ponce, Gustavo; Vega, Luis 23 1990 The initial value problem for the binormal flow with rough data. (Évolution par le flot binormal de courbes à un coin.) Zbl 1336.53073 Banica, Valeria; Vega, Luis 23 2015 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184 Fanelli, Luca; Krejčiřík, David; Vega, Luis 23 2018 Variable coefficient Schrödinger flows for ultrahyperbolic operators. Zbl 1088.35065 Kenig, C. E.; Ponce, G.; Rolvung, C.; Vega, L. 23 2005 An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators. Zbl 1341.81023 Arrizabalaga, Naiara; Mas, Albert; Vega, Luis 22 2016 A note on the nonlinear Schrödinger equation in weak \(L^p\) spaces. Zbl 0991.35084 Cazenave, Thierry; Vega, Luis; Vilela, Mari Cruz 22 2001 Local well-posedness for the modified KdV equation in almost critical \(\widehat {H^r_s}\)-spaces. Zbl 1182.35197 Grünrock, Axel; Vega, Luis 22 2009 A real space method for averaging lemmas. Zbl 1082.35043 Jabin, Pierre-Emmanuel; Vega, Luis 22 2004 On the unique continuation of solutions to the generalized KdV equation. Zbl 1055.35102 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 22 2003 On the hierarchy of the generalized KdV equations. Zbl 0849.35121 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 21 1994 Pointwise convergence of solutions to the nonelliptic Schrödinger equation. Zbl 1124.35071 Rogers, Keith M.; Vargas, Ana; Vega, Luis 20 2006 Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity. Zbl 1137.35020 Perthame, Benoit; Vega, Luis 20 2008 Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339 Kenig, C. E.; Ponce, G.; Vega, L. 20 2020 Existence of maximizers for Sobolev-Strichartz inequalities. Zbl 1235.35012 Fanelli, Luca; Vega, Luis; Visciglia, Nicola 19 2012 Stability of the self-similar dynamics of a vortex filament. Zbl 1430.76089 Banica, Valeria; Vega, Luis 19 2013 Self-adjoint extensions of Dirac operators with Coulomb type singularity. Zbl 1281.81031 Arrizabalaga, Naiara; Duoandikoetxea, Javier; Vega, Luis 19 2013 Evolution of polygonal lines by the binormal flow. Zbl 1462.35279 Banica, Valeria; Vega, Luis 18 2020 Restriction theorems and the Schrödinger multiplier on the torus. Zbl 0791.42011 Vega, Luis 17 1992 On the interaction of nearly parallel vortex filaments. Zbl 1073.76014 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 17 2003 Some dispersive estimates for Schrödinger equations with repulsive potentials. Zbl 1293.35090 Barceló, Juan A.; Ruiz, Alberto; Vega, Luis 17 2006 Spherical means and weighted inequalities. Zbl 0853.42017 Duoandikoetxea, Javier; Vega, Luis 15 1996 Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves. Zbl 1219.35203 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 15 2011 A numerical study of the self-similar solutions of the Schrödinger map. Zbl 1219.65139 de la Hoz, F.; García-Cervera, C. J.; Vega, L. 15 2009 The general quasilinear ultrahyperbolic Schrödinger equation. Zbl 1122.35137 Kenig, Carlos E.; Ponce, Gustavo; Rolvung, Christian; Vega, Luis 15 2006 On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation. Zbl 1447.35263 de la Hoz, Francisco; Vega, Luis 15 2018 Stability in \(L^1\) of circular vortex patches. Zbl 1181.35201 Sideris, Thomas C.; Vega, Luis 14 2009 Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 14 2011 Hardy-type estimates for Dirac operators. Zbl 1156.35067 Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis 14 2007 The forward problem for the electromagnetic Helmholtz equation with critical singularities. Zbl 1284.35144 Barceló, Juan Antonio; Vega, Luis; Zubeldia, Miren 13 2013 On the regularity of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1394.35420 Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L. 13 2018 On the Dirac delta as initial condition for nonlinear Schrödinger equations. Zbl 1147.35092 Banica, V.; Vega, L. 13 2008 On the IVP for the nonlinear Schrödinger equations. Zbl 0846.35128 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 12 1995 A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator. Zbl 1436.81042 Cassano, Biagio; Pizzichillo, Fabio; Vega, Luis 12 2020 Decay at infinity of caloric functions within characteristic hyperplanes. Zbl 1116.35018 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 12 2006 Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 11 2016 Uniqueness properties for discrete equations and Carleman estimates. Zbl 1372.35260 Fernández Bertolin, Aingeru; Vega, Luis 11 2017 On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164 Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L. 11 2020 Self-similar solutions of the localized induction approximation: singularly formation. Zbl 1072.35152 Gutiérrez, Susana; Vega, Luis 10 2004 Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076 Perelman, Galina; Vega, L. 10 2007 Discrete conservation laws and the convergence of long time simulations of the mKdV equation. Zbl 1291.65279 Gorria, C.; Alejo, M. A.; Vega, L. 9 2013 New conservation laws and energy cascade for 1d cubic NLS and the Schrödinger map. Zbl 07903083 Banica, Valeria; Vega, Luis 1 2024 Eigenvalue curves for generalized MIT bag models. Zbl 1521.81060 Arrizabalaga, Naiara; Mas, Albert; Sanz-Perela, Tomás; Vega, Luis 6 2023 Carleman type inequalities for fractional relativistic operators. Zbl 1509.35358 Roncal, Luz; Stan, Diana; Vega, Luis 3 2023 Riemann’s non-differentiable function and the binormal curvature flow. Zbl 1506.35153 Banica, Valeria; Vega, Luis 9 2022 Vortex filament equation for a regular polygon in the hyperbolic plane. Zbl 1483.35206 de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis 3 2022 Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow. Zbl 1510.35287 Banica, Valeria; Vega, Luis 2 2022 On the one dimensional cubic NLS in a critical space. Zbl 1489.35250 Bravin, Marco; Vega, Luis 2 2022 Static and dynamical, fractional uncertainty principles. Zbl 1498.35196 Kumar, Sandeep; Vanegas, Felipe Ponce; Vega, Luis 1 2022 Self-similar dynamics for the modified Korteweg-de Vries equation. Zbl 1489.35235 Correia, Simão; Côte, Raphaël; Vega, Luis 1 2021 Uniqueness properties of solutions to the Benjamin-Ono equation and related models. Zbl 1433.35339 Kenig, C. E.; Ponce, G.; Vega, L. 20 2020 Evolution of polygonal lines by the binormal flow. Zbl 1462.35279 Banica, Valeria; Vega, Luis 18 2020 A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator. Zbl 1436.81042 Cassano, Biagio; Pizzichillo, Fabio; Vega, Luis 12 2020 On the unique continuation of solutions to non-local non-linear dispersive equations. Zbl 1451.35164 Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L. 11 2020 On the energy of critical solutions of the binormal flow. Zbl 1454.35273 Banica, Valeria; Vega, Luis 8 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011 Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 8 2020 On the evolution of the vortex filament equation for regular \(M\)-polygons with nonzero torsion. Zbl 1434.65201 de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis 6 2020 Bilinear identities involving the \(k\)-plane transform and Fourier extension operators. Zbl 1459.42036 Beltran, David; Vega, Luis 5 2020 Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation. Zbl 1437.35609 Correia, Simão; Côte, Raphaël; Vega, Luis 4 2020 Some lower bounds for solutions of Schrödinger evolutions. Zbl 1419.35170 Agirre, Mikel; Vega, Luis 5 2019 A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions. Zbl 06918953 Ourmières-Bonafos, Thomas; Vega, Luis 41 2018 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296 Fanelli, Luca; Krejčiřík, David; Vega, Luis 34 2018 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184 Fanelli, Luca; Krejčiřík, David; Vega, Luis 23 2018 On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation. Zbl 1447.35263 de la Hoz, Francisco; Vega, Luis 15 2018 On the regularity of solutions to the \(k\)-generalized Korteweg-de Vries equation. Zbl 1394.35420 Kenig, C. E.; Linares, F.; Ponce, G.; Vega, L. 13 2018 Singularity formation for the 1-D cubic NLS and the Schrödinger map on \(\mathbb{S}^2\). Zbl 1393.35214 Banica, Valeria; Vega, Luis 8 2018 Erratum: “Self-adjoint extensions of Dirac operators with Coulomb type singularity” [J. Math. Phys. 54, 041504 (2013)]. Zbl 1394.81113 Arrizabalaga, Naiara; Duoandikoetxea, Javier; Vega, Luis 1 2018 Uniqueness properties for discrete equations and Carleman estimates. Zbl 1372.35260 Fernández Bertolin, Aingeru; Vega, Luis 11 2017 An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators. Zbl 1341.81023 Arrizabalaga, Naiara; Mas, Albert; Vega, Luis 22 2016 Hardy uncertainty principle, convexity and parabolic evolutions. Zbl 1356.35045 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 11 2016 Shell interactions for Dirac operators: on the point spectrum and the confinement. Zbl 1314.81083 Arrizabalaga, Naiara; Mas, Albert; Vega, Luis 31 2015 The initial value problem for the binormal flow with rough data. (Évolution par le flot binormal de courbes à un coin.) Zbl 1336.53073 Banica, Valeria; Vega, Luis 23 2015 The dynamics of vortex filaments with corners. Zbl 1318.35110 Vega, Luis 9 2015 The vortex filament equation as a pseudorandom generator. Zbl 1320.35299 de la Hoz, Francisco; Vega, Luis 4 2015 Shell interactions for Dirac operators. Zbl 1297.81083 Arrizabalaga, Naiara; Mas, Albert; Vega, Luis 53 2014 Vortex filament equation for a regular polygon. Zbl 1339.35300 de la Hoz, Francisco; Vega, Luis 36 2014 A theorem of Paley-Wiener type for Schrödinger evolutions. (Un théorème de type Paley-Wiener pour les évolutions de Schrödinger.) Zbl 1308.35274 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 5 2014 Relativistic Hardy inequalities in magnetic fields. Zbl 1291.35255 Fanelli, Luca; Vega, Luis; Visciglia, Nicola 2 2014 The gardner equation and the \(L^2\)-stability of the \(N\)-soliton solution of the Korteweg-de Vries equation. Zbl 1278.35209 Alejo, Miguel A.; Muñoz, Claudio; Vega, Luis 24 2013 Stability of the self-similar dynamics of a vortex filament. Zbl 1430.76089 Banica, Valeria; Vega, Luis 19 2013 Self-adjoint extensions of Dirac operators with Coulomb type singularity. Zbl 1281.81031 Arrizabalaga, Naiara; Duoandikoetxea, Javier; Vega, Luis 19 2013 The forward problem for the electromagnetic Helmholtz equation with critical singularities. Zbl 1284.35144 Barceló, Juan Antonio; Vega, Luis; Zubeldia, Miren 13 2013 Discrete conservation laws and the convergence of long time simulations of the mKdV equation. Zbl 1291.65279 Gorria, C.; Alejo, M. A.; Vega, L. 9 2013 On the stability of self-similar solutions of 1D cubic Schrödinger equations. Zbl 1264.35214 Gutierrez, S.; Vega, L. 5 2013 Uniqueness properties of solutions to Schrödinger equations. Zbl 1268.35112 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 30 2012 Scattering for 1D cubic NLS and singular vortex dynamics. Zbl 1290.35235 Banica, Valeria; Vega, Luis 26 2012 Existence of maximizers for Sobolev-Strichartz inequalities. Zbl 1235.35012 Fanelli, Luca; Vega, Luis; Visciglia, Nicola 19 2012 Selfsimilar solutions of the binormal flow and their stability. Zbl 1291.35328 Banica, Valeria; Vega, Luis 6 2012 Scattering for solutions of NLS in the exterior of a 2D star-shaped obstacle. Zbl 1264.35226 Planchon, Fabrice; Vega, Luis 4 2012 Lower bounds for non-trivial travelling wave solutions of equations of KdV type. Zbl 1248.35185 Kenig, C. E.; Ponce, G.; Vega, L. 3 2012 Carleman estimates and necessary conditions for the existence of waveguides. Zbl 1348.35335 Escauriaza, Luis; Fanelli, Luca; Vega, Luis 2 2012 On the existence of maximizers for a family of restriction theorems. Zbl 1225.42012 Fanelli, Luca; Vega, Luis; Visciglia, Nicola 26 2011 Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves. Zbl 1219.35203 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 15 2011 Uncertainty principle of Morgan type and Schrödinger evolutions. Zbl 1228.35223 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 14 2011 Endpoint Strichartz estimates for the magnetic Schrödinger equation. Zbl 1188.81061 D’Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola 51 2010 The sharp Hardy uncertainty principle for Schrödinger evolutions. Zbl 1220.35008 Escauriaza, Luis; Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 44 2010 The Hardy uncertainty principle revisited. Zbl 1242.35017 Cowling, M.; Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 27 2010 Bilinear virial identities and oscillatory integrals. Zbl 1194.35116 Vega, Luis 3 2010 Bilinear virial identities and applications. Zbl 1192.35166 Planchon, Fabrice; Vega, Luis 72 2009 Magnetic virial identities, weak dispersion and Strichartz inequalities. Zbl 1163.35005 Fanelli, Luca; Vega, Luis 31 2009 On the stability of a singular vortex dynamics. Zbl 1183.35029 Banica, V.; Vega, L. 29 2009 Local well-posedness for the modified KdV equation in almost critical \(\widehat {H^r_s}\)-spaces. Zbl 1182.35197 Grünrock, Axel; Vega, Luis 22 2009 A numerical study of the self-similar solutions of the Schrödinger map. Zbl 1219.65139 de la Hoz, F.; García-Cervera, C. J.; Vega, L. 15 2009 Stability in \(L^1\) of circular vortex patches. Zbl 1181.35201 Sideris, Thomas C.; Vega, Luis 14 2009 Weak dispersive estimates for Schrödinger equations with long range potentials. Zbl 1178.35143 Barceló, J. A.; Ruiz, A.; Vega, L.; Vilela, M. C. 6 2009 Hardy’s uncertainty principle, convexity and Schrödinger evolutions. Zbl 1158.35018 Escauriaza, Luis; Kenig, Carlos E.; Ponce, G.; Vega, Luis 45 2008 Convexity properties of solutions to the free Schrödinger equation with Gaussian decay. Zbl 1169.35307 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 27 2008 Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations. Zbl 1146.35020 Moyua, A.; Vega, L. 25 2008 Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity. Zbl 1137.35020 Perthame, Benoit; Vega, Luis 20 2008 On the Dirac delta as initial condition for nonlinear Schrödinger equations. Zbl 1147.35092 Banica, V.; Vega, L. 13 2008 The effect of surface tension on the Moore singularity of vortex sheet dynamics. Zbl 1160.76010 de la Hoz, F.; Fontelos, M. A.; Vega, L. 6 2008 On the equipartition of energy for the critical \(NLW\). Zbl 1156.35064 Vega, Luis; Visciglia, Nicola 6 2008 Asymptotic lower bounds for a class of Schrödinger equations. Zbl 1155.35098 Vega, Luis; Visciglia, Nicola 4 2008 Scaling-sharp dispersive estimates for the Korteweg-de Vries group. Zbl 1158.35415 Côte, Raphaël; Vega, Luis 2 2008 A uniqueness result for solutions to subcritical NLS. Zbl 1191.35259 Vega, Luis; Visciglia, Nicola 1 2008 On uniqueness properties of solutions of the \(k\)-generalized KdV equations. Zbl 1122.35124 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 58 2007 Schrödinger maps and their associated frame systems. Zbl 1142.35087 Nahmod, Andrea; Shatah, Jalal; Vega, Luis; Zeng, Chongchun 28 2007 Hardy-type estimates for Dirac operators. Zbl 1156.35067 Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis 14 2007 Self-similar planar curves related to modified Korteweg-de Vries equation. Zbl 1124.35076 Perelman, Galina; Vega, L. 10 2007 Some weighted Gagliardo-Nirenberg inequalities and applications. Zbl 1120.26009 Duoandikoetxea, Javier; Vega, Luis 9 2007 On the local smoothing for the Schrödinger equation. Zbl 1173.35107 Vega, Luis; Visciglia, Nicola 8 2007 On the local smoothing for a class of conformally invariant Schrödinger equations. Zbl 1171.35117 Vega, Luis; Visciglia, Nicola 3 2007 The initial value problem for the general quasi-linear Schrödinger equation. Zbl 1137.35069 Kenig, C. E.; Ponce, G.; Vega, L. 1 2007 On uniqueness properties of solutions of Schrödinger equations. Zbl 1124.35068 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 52 2006 Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026 Goldberg, Michael; Vega, Luis; Visciglia, Nicola 31 2006 Pointwise convergence of solutions to the nonelliptic Schrödinger equation. Zbl 1124.35071 Rogers, Keith M.; Vargas, Ana; Vega, Luis 20 2006 Some dispersive estimates for Schrödinger equations with repulsive potentials. Zbl 1293.35090 Barceló, Juan A.; Ruiz, Alberto; Vega, Luis 17 2006 The general quasilinear ultrahyperbolic Schrödinger equation. Zbl 1122.35137 Kenig, Carlos E.; Ponce, Gustavo; Rolvung, Christian; Vega, Luis 15 2006 Decay at infinity of caloric functions within characteristic hyperplanes. Zbl 1116.35018 Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. 12 2006 Variable coefficient Schrödinger flows for ultrahyperbolic operators. Zbl 1088.35065 Kenig, C. E.; Ponce, G.; Rolvung, C.; Vega, L. 23 2005 The Cauchy problem for quasi-linear Schrödinger equations. Zbl 1177.35221 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 70 2004 An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120 Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis 28 2004 A real space method for averaging lemmas. Zbl 1082.35043 Jabin, Pierre-Emmanuel; Vega, Luis 22 2004 Self-similar solutions of the localized induction approximation: singularly formation. Zbl 1072.35152 Gutiérrez, Susana; Vega, Luis 10 2004 Formation of singularities and self-similar vortex motion under the localized induction approximation. Zbl 1044.35089 Gutiérrez, Susana; Rivas, Judith; Vega, Luis 49 2003 On unique continuation for nonlinear Schrödinger equations. Zbl 1041.35072 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 41 2003 \(L^2\) stability of solitons for KdV equation. Zbl 1022.35061 Merle, F.; Vega, L. 36 2003 On the unique continuation of solutions to the generalized KdV equation. Zbl 1055.35102 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 22 2003 On the interaction of nearly parallel vortex filaments. Zbl 1073.76014 Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis 17 2003 Averaging lemmas and the X-ray transform. Zbl 1030.35005 Jabin, Pierre-Emmanuel; Vega, Luis 7 2003 Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations. Zbl 1147.35301 Perthame, Benoît; Vega, Luis 3 2003 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,344 Authors 86 Vega, Luis 62 Kenig, Carlos Eduardo 58 Ponce, Gustavo 46 Lee, Sanghyuk 45 Linares, Felipe 43 Guo, Boling 41 Himonas, A. Alexandrou 39 Hayashi, Nakao 35 Fanelli, Luca 31 Naumkin, Pavel Ivanovich 31 Tataru, Daniel 28 Zhang, Bing-Yu 26 Panthee, Mahendra 26 Yan, Wei 25 Martel, Yvan 25 Tzvetkov, Nikolay 23 Miao, Changxing 22 Wang, Baoxiang 21 Carvajal, Xavier Paredes 21 Merle, Frank 21 Molinet, Luc 20 D’Ancona, Piero 20 Muñoz, Claudio 20 Ozawa, Tohru 20 Tao, Terence 20 Ye, Zhuan 19 Cassano, Biagio 19 Huang, Jianhua 19 Huo, Zhaohui 19 Krejčiřík, David 19 Saut, Jean-Claude 19 Staffilani, Gigliola 19 Wang, Ming 19 Zheng, Jiqiang 18 Banica, Valeria 18 Li, Yongsheng 18 Oh, Tadahiro 18 Pilod, Didier 18 Seo, Ihyeok 18 Tian, Lixin 18 Vargas, Ana M. 18 Visciglia, Nicola 17 Barceló, Juan Antonio 17 Bennett, Jonathan M. 17 Esfahani, Amin 17 Guo, Zihua 17 Lar’kin, Nikolaj Andreevich 16 Alejo, Miguel A. 16 Cui, Shangbin 16 Liu, Yue 16 Visan, Monica 15 Dodson, Benjamin G. 15 Ho, Kwok-Pun 15 Isaza, Pedro 15 Rogers, Keith McKenzie 15 Segata, Jun-ichi 15 Sun, Shuming 15 Zhang, Junyong 14 Behrndt, Jussi 14 Bona, Jerry Lloyd 14 Erdoğan, Mehmet Burak 14 Kwak, Chulkwang 14 Li, Junfeng 14 Nakanishi, Kenji 14 Oliveira e Silva, Diogo 14 Ruiz, Alberto 14 Sawano, Yoshihiro 14 Wu, Jiahong 14 Zhu, Mingxuan 13 Bejenaru, Ioan 13 Herr, Sebastian 13 Holzmann, Markus 13 Killip, Rowan 13 Kukavica, Igor 13 Mejía, Jorge 13 Pastor, Ademir 13 Sogge, Christopher D. 13 Tzirakis, Nikolaos 13 Wan, Renhui 13 Yan, Fangchi 12 Arrizabalaga, Naiara 12 Bez, Neal 12 Cavalcante, Márcio André Araújo 12 Côte, Raphaël 12 Farah, Luiz Gustavo 12 Lotoreichik, Vladimir 12 Metcalfe, Jason L. 12 Shang, Haifeng 12 Yu, Yanghai 11 Cacciafesta, Federico 11 Chen, Wengu 11 Coclite, Giuseppe Maria 11 Colliander, James E. 11 Cossetti, Lucrezia 11 Escauriaza Zubiria, Luis 11 Fernández-Bertolin, Aingeru 11 Hakim, Denny Ivanal 11 Ionescu, Alexandru D. 11 Li, Ze 11 Mas, Albert ...and 2,244 more Authors all top 5 Cited in 345 Serials 203 Journal of Differential Equations 175 Journal of Mathematical Analysis and Applications 147 Journal of Functional Analysis 137 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 94 Communications in Partial Differential Equations 84 Communications in Mathematical Physics 66 Proceedings of the American Mathematical Society 66 Transactions of the American Mathematical Society 63 Journal of Mathematical Physics 56 Discrete and Continuous Dynamical Systems 54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 53 SIAM Journal on Mathematical Analysis 48 Communications on Pure and Applied Analysis 46 Advances in Mathematics 43 Mathematische Annalen 40 The Journal of Fourier Analysis and Applications 39 Nonlinearity 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 35 ZAMP. Zeitschrift für angewandte Mathematik und Physik 34 Journal d’Analyse Mathématique 34 Mathematical Methods in the Applied Sciences 34 Journal of Evolution Equations 33 Nonlinear Analysis. Real World Applications 32 Duke Mathematical Journal 32 Revista Matemática Iberoamericana 32 Analysis & PDE 30 Calculus of Variations and Partial Differential Equations 27 NoDEA. Nonlinear Differential Equations and Applications 25 Archive for Rational Mechanics and Analysis 25 Applied Mathematics Letters 24 The Journal of Geometric Analysis 24 Communications in Contemporary Mathematics 22 Acta Mathematica Sinica. English Series 21 Mathematische Nachrichten 21 Mathematische Zeitschrift 20 Journal of Hyperbolic Differential Equations 19 Journal of Nonlinear Science 19 Discrete and Continuous Dynamical Systems. Series B 18 Physica D 17 Applicable Analysis 17 Journal of the European Mathematical Society (JEMS) 16 Journal of the American Mathematical Society 16 Annales Henri Poincaré 15 Indiana University Mathematics Journal 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Journal of Dynamics and Differential Equations 13 Communications on Pure and Applied Mathematics 13 Potential Analysis 13 Science China. Mathematics 12 Monatshefte für Mathematik 12 Forum Mathematicum 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Vietnam Journal of Mathematics 11 Letters in Mathematical Physics 11 Inventiones Mathematicae 11 Acta Applicandae Mathematicae 11 Journal of Mathematical Fluid Mechanics 11 Acta Mathematica Scientia. Series B. (English Edition) 11 Nonlinear Analysis. Theory, Methods & Applications 10 Chinese Annals of Mathematics. Series B 10 Frontiers of Mathematics in China 10 Annals of PDE 10 SN Partial Differential Equations and Applications 9 Annales de l’Institut Fourier 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Bulletin of the American Mathematical Society. New Series 9 Journal of Mathematical Sciences (New York) 9 Abstract and Applied Analysis 9 Mathematical Control and Related Fields 9 Séminaire Laurent Schwartz. EDP et Applications 8 Reviews in Mathematical Physics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Applied Mathematics and Computation 8 Studies in Applied Mathematics 8 Geometric and Functional Analysis. GAFA 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Journal of Nonlinear Mathematical Physics 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Analysis and Applications (Singapore) 8 Journal of Spectral Theory 8 Analysis and Mathematical Physics 8 Pure and Applied Analysis 7 Acta Mathematica 7 Applied Mathematics and Optimization 7 Quarterly of Applied Mathematics 7 Selecta Mathematica. New Series 7 Revista Matemática Complutense 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Boundary Value Problems 7 Proceedings of the Steklov Institute of Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 6 Arkiv för Matematik 6 Mathematics of Computation 6 Memoirs of the American Mathematical Society 6 Proceedings of the London Mathematical Society. Third Series 6 Bulletin des Sciences Mathématiques 6 Journal of Inequalities and Applications 6 Communications in Nonlinear Science and Numerical Simulation 6 Oberwolfach Reports 6 Annals of Functional Analysis ...and 245 more Serials all top 5 Cited in 53 Fields 2,725 Partial differential equations (35-XX) 497 Harmonic analysis on Euclidean spaces (42-XX) 423 Fluid mechanics (76-XX) 292 Dynamical systems and ergodic theory (37-XX) 248 Quantum theory (81-XX) 234 Operator theory (47-XX) 199 Functional analysis (46-XX) 120 Real functions (26-XX) 77 Global analysis, analysis on manifolds (58-XX) 74 Numerical analysis (65-XX) 68 Probability theory and stochastic processes (60-XX) 66 Statistical mechanics, structure of matter (82-XX) 64 Optics, electromagnetic theory (78-XX) 48 Systems theory; control (93-XX) 43 Differential geometry (53-XX) 43 Geophysics (86-XX) 42 Ordinary differential equations (34-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 34 Measure and integration (28-XX) 26 Integral transforms, operational calculus (44-XX) 24 Potential theory (31-XX) 22 Special functions (33-XX) 21 Abstract harmonic analysis (43-XX) 19 Number theory (11-XX) 18 Difference and functional equations (39-XX) 18 Mechanics of deformable solids (74-XX) 17 Approximations and expansions (41-XX) 15 Integral equations (45-XX) 13 Functions of a complex variable (30-XX) 13 Relativity and gravitational theory (83-XX) 10 Topological groups, Lie groups (22-XX) 10 Biology and other natural sciences (92-XX) 9 Mechanics of particles and systems (70-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Several complex variables and analytic spaces (32-XX) 6 General and overarching topics; collections (00-XX) 6 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 5 Algebraic geometry (14-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 4 Computer science (68-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Sequences, series, summability (40-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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