Center for Mathematical
Sciences Lectures 


invites you to a CMS Distinguished
Lecture series, Supported by the Mallat Family Fund for Research in Mathematics to be presented by 


Professor Luis A. Caffarelli Lecture
I:  Monday, 23 June 2014, at 15:30 Minimal surfaces and free boundary
problems: some common approaches to study them Lecture
II: Tuesday, 24 June 2014, at 15:30 Free
boundary problems involving non local interactions 1 Lecture
III: Thursday, 26 June 2014, at 15:30 Free
boundary problems involving non local interactions 2 All lectures will take
place in Auditorium 231, Amado Mathematics Building 

Prof. Caffarelli is the
world's leading expert on regularity of solutions of elliptic partial
differential equations (PDEs). His early work on free boundary problems was a
profound breakthrough which eventually led to the full regularity of the
solutions and the boundary under very mild assumptions. A second fundamental
contribution by Caffarelli is the study of fully
nonlinear elliptic PDEs (including the MongeAmpere
equation), which he revolutionized. Another seminal contribution by Caffarelli is his joint work with Kohn and Nirenberg on
partial regularity of solutions of the incompressible NavierStokes
equation in 3D. Prof. Caffarelli has also produced
deep works on homogenization, on equations with nonlocal dissipation, on
optimal mass transportation, on combustion and fluids, and on other areas of
PDEs. 


Prof. Caffarelli's
homepage: http://www.ma.utexas.edu/users/caffarel/ 














