Pascal Auscher

Pascal Auscher (* 1963 ) is a French mathematician who deals with analysis (partial differential operators , harmonic analysis ).

Auscher received his doctorate in 1989 from the University of Paris XI (Dauphiné) with Yves Meyer . He is a professor at the University of Paris-South in Orsay .

In 2002, together with Steve Hofmann , Michael T. Lacey , Alan McIntosh and Philippe Tchamitchian, he solved the Kato root problem for elliptic differential operators, which had been open since 1953 . He also studied the Navier-Stokes equations .

Pascal Auscher was, among other things, visiting professor at the Australian National University and visiting scholar at the University of Barcelona and at the MSRI .

Fonts

P. Auscher, P. Tchamitchian: Square root problem for divergence operators, Astérisque, Volume 249, 1998
On Necessary and Sufficient Conditions for -estimates of Riesz Transforms Associated to Elliptic Operators on and Related Estimates, Memoirs AMS, 2007 ${\ displaystyle L ^ {p}}$ ${\ displaystyle \ mathbb {R} ^ {n}}$
Editor with Thierry Coulhon, Alexander Grigoryan: Heat kernels and analysis on manifolds, graphs and metric spaces, Lecture Notes from a quarter program on heat kernels, random walks and analysis on manifolds and graphs, Emile Borel Center of the Henri Poincaré Institute 2003, Contemporary Mathematics, Volume 338, AMS 2003

↑ Pascal Auscher in the Mathematics Genealogy Project (English)
^ P. Auscher, S. Hofmann, M. Lacey, A. McIntosh, P. Tchamitchian: The solution of the Kato square root problem for second order elliptic operators on , Annals of Mathematics, Volume 156, 2002, pp. 633-654 ${\ displaystyle \ mathbb {R} ^ {n}}$
^ Page on the MSRI with photo