Web page of Benoît Pausader
Benoît Pausader
born October 03, 1982, Toulouse (France).
French.
Single.
Mathematics Department, Box 1917
Brown University
Providence, RI 02912
USA,
Office 311.
Here you can contact me.
Fields of interest:
Nonlinear dispersive equations
Fourth order equations
Harmonic analysis
Water waves
Studies:
2002: École normale supérieure
de Lyon.
2005: Agrégation de mathématiques, rang 11.
2008: PhD defense, director: Emmanuel Hebey, university: université de Cergy-Pontoise.
Positions:
2006: Assistant moniteur normalien Cergy-Pontoise university.
2008: Tamarkin assistant professor, Brown university.
Articles:
[1] Scattering and the Levandosky-Strauss
conjecture for fourth order nonlinear
wave equations,
Journal of Differential Equations, 241 (2), (2007), 237--278.
[2] Global well-posedness for energy critical
fourth-order Schrödinger equations
in the radial case,
Dynamics of PDE, 4 (3), (2007), 197--225.
[3] The focusing energy-critical fourth-order Schrödinger
equation with radial data,
DCDS-A, 24 (2009), 4, 1275--1292.
[4] The cubic fourth-order Schrödinger equation,
J. Funct. Anal., 256 (2009), 8, 2473--2517.
[5] (with W.A. Strauss), Analyticity of
the nonlinear scattering operator, DCDS-A, to appear.
[6] Scattering for the Beam equation in low dimensions, Indiana Univ. Math. J., to appear.
Preprints:
[7] (with S. Shao) The mass-critical fourth-order Schrödinger equation in high dimensions, 2009.
[8] (with J.C. Jiang and S. Shao) The linear profile decomposition for the fourth order Schrödinger equation, 2009.
Here, you can download my CV.
Here, you can download my PhD dissertation.
Expository texts:
[1] An introduction to fourth order nonlinear wave equations, with E. Hebey,
FourthOrderWaves.pdf , 48 pages, 2008. Unpublished.
[2] Scattering for the Beam equation, Proceedings of GDR "équations aux dérivées partielles", Evian, 2008.
Other links:
Some friends: Christophe Lacave, Evelyne Miot and Aurélien Monteillet were student with me, Jérome
Vétois, also a student of Emmanuel
Hebey.
The web page of T.Tao always full of useful information.
A great association: Math.En.Jean.
The Société
Mathématique de France (SMF).
The Fondation science mathematiques de Paris.
The American Mathematical Society.
Finally Arxiv.