Gustavo Ponce

Gustavo A. Ponce (born April 20, 1952 in Venezuela ) is a Venezuelan mathematician .

Life

Ponce studied at the Universidad Central de Venezuela with a bachelor's degree in 1976 and at the Courant Institute of Mathematical Sciences of New York University with a master's degree in 1980 and his doctorate in 1982 under Sergiu Klainerman (and Louis Nirenberg , dissertation Long time stability of solutions of nonlinear evolution equations ). He was instructor from 1976 and from 1984 to 1986 assistant professor at the Universidad Central de Venezuela, from 1982 to 1984 visiting professor at Berkeley, from 1986 assistant professor at the University of Chicago , from 1989 associate professor at Pennsylvania State University and from 1991 professor at the university of California, Santa Barbara .

He was visiting professor at IMPA , the Institute for Advanced Study (2004), MSRI , the University of Paris-Süd, the University of Bonn, the Institut Henri Poincaré , the University of the Basque Country and the Autonomous University of Madrid.

Ponce studies nonlinear partial differential equations (PDE) using methods of harmonic analysis and looking at the qualitative behavior of solutions of PDE of mathematical physics such as the Euler and Navier-Stokes equations of hydrodynamics.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( On nonlinear dispersive equations ). In 2012 he became a Fellow of the American Mathematical Society .

Fonts

with Felipe Linares: Introduction to nonlinear dispersive equations, Springer, 2nd edition 2015
with Sergiu Klainerman: Global, small amplitude solutions to nonlinear evolution equations, Comm. Pure Appl. Math., 63, 1983, pp. 133-141
with Tosio Kato : Commutators estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math., Vol. 41, 1988, pp. 891-907
with Jose F. Linares: On the Davey-Stewartson systems, Annales de l'IHP Analyze non lineaire, Volume 10, 1993, pp. 523-548
with Carlos Kenig , Luis Vega : A bilinear estimate with applications to KdV equation, Journal Amer. Math. Soc., Vol. 9, 1996, 573-603
with Kenig, Vega: Smoothing effects and local existence theory for the generalized nonlinear Schrodinger equations, Inventiones Math., Volume 134, 1998, pp. 489-545
with Kenig, Vega: The Cauchy problem for quasi-linear Schrodinger equations, Inventiones Math, Volume 158, 2004, pp. 343–388
with Carlos E. Kenig, C. Rolvung, Luis Vega: Variable coefficient Schrödinger flows for ultrahyperbolic operators, Advances in Math., Volume 196, 2005, pp. 373-486
with AA Himonas, G. Misiolek, Yong Zhou: Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation, Comm. Math. Phys., Vol. 271, 2007, pp. 511-522
with Luis Escauriaza, Carlos E. Kenig, Luis Vega: On uniqueness properties of solutions of Schrödinger equations, Comm. PDE, Vol. 31, 2006, pp. 1811-1823

Web links

Homepage

Individual evidence

personal data
SURNAME	Ponce, Gustavo
ALTERNATIVE NAMES	Ponce, Gustavo A.
BRIEF DESCRIPTION	Venezuelan mathematician
DATE OF BIRTH	April 20, 1952
PLACE OF BIRTH	Venezuela

[1] Communications in Pure and Applied Analysis , Volume 14, 2015, Issue 4, pp. I-III

[2] Gustavo Ponce in the Mathematics Genealogy Project (English)