Carlos Kenig

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Carlos Kenig 1990 in Nagoya

Carlos Eduardo Kenig (born November 25, 1953 in Buenos Aires ) is an Argentine-American mathematician who deals with analysis .


Kenig went to school in Buenos Aires. He studied and obtained his doctorate in 1978 at the University of Chicago with Alberto Calderon ( spaces on Lipschitz Domains). He then was an instructor at Princeton University from 1978 to 1980 and then at the University of Minnesota , where he became a professor in 1983. From 1985 he was a professor at the University of Chicago, where he is now Louis Block Distinguished Service Professor.

Kenig deals with harmonic analysis and partial differential equations. In 2008 he received the Bôcher Memorial Prize specifically for work on nonlinear dispersive partial differential equations such as the Korteweg-de-Vries equation or the nonlinear Schrödinger equation . In the award laudation, works by Frank Merle , Gustavo Ponce, Louis Vega and Alex Ionescu are cited.

Kenig was a Guggenheim Fellow and a Sloan Research Fellow . He is a fellow of the American Mathematical Society . He was invited speaker at the ICM in Berkeley 1986 ( Carleman estimates, uniform Sobolev inequalities for second order differential operators and unique continuation theorems ) and in Beijing 2002 ( Harmonic measure and "locally flat" domains ). He was also elected to the American Academy of Arts and Sciences in 2002. In 2010 he gave a plenary lecture at the International Congress of Mathematicians in Hyderabad (The global behavior of solutions to critical nonlinear dispersion equations). In 1984 he received the Salem Prize . In 2014 he was elected to the National Academy of Sciences . Kenig was selected to deliver the American Mathematical Society's Colloquium Lectures in 2017 . He was elected President of the International Mathematical Union in July 2018 for the period 2019-2022.


  • Harmonic analysis techniques for second order elliptic boundary value problems, AMS 1994
  • with Jean Bourgain , Sergiu Klainerman (editor): Mathematical aspects of nonlinear dispersive equations, Princeton University Press 2007
  • with Luca Capogna, Loredana Lanzani: Geometric Measure- geometric and analytic points of view, AMS 2005
  • with Panagiota Daskalopoulos: Degenerate Diffusions: Initial Value Problems and Local Regularity Theory, EMS Tracts in Mathematics, 2007

Web links

Individual evidence

  1. with a non-vanishing group speed, i.e. the individual wavelength components spread out at different speeds
  2. Kenig, Merle, "Global well-posedness, scattering and blow-up for the energy critical focusing non-linear wave equation", Acta Math., Vol. 201, 2008, pp. 147-212
  3. Kenig, G. Ponce, L. Vega, “Well-posedness and scattering results for generalized Korteweg-de Vries equations via the contraction principle”, Comm. Pure Appl. Math., Vol. 46, 1993, pp. 527-620
  4. Kenig, Ionescu, “Global well-posedness of the Benjamin-Ono equation in low regularity spaces”, J. Amer. Math. Soc., Vol. 20, 2007, pp. 753-798
  5. ^ National Academy of Sciences Members and Foreign Associates Elected. ( Memento of the original from August 18, 2015 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. Press release from the National Academy of Sciences ( dated April 29, 2014  @1@ 2Template: Webachiv / IABot /