# Mathematical Sciences Research Institute

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# Schedule

## MSRI Summer Microprogram on Nonlinear Partial Differential Equations July 23, 2007 - August 10, 2007

Jul 23, 2007
Monday
 01:00 PM - 01:50 PM Error estimates for approximations to viscosity solutions of uniformly elliptic second-order pde Panagiotis Souganidis (University of Texas) 02:00 PM - 02:50 PM On the Green's matrices of strongly elliptic and parabolic systems of second order Hongjie Dong 04:00 PM - 04:50 PM Stationary Ergodic Homogenization of Time Dependent Hamliton-Jacobi Russell Schwab
Jul 24, 2007
Tuesday
 01:00 PM - 01:50 PM Curvature and the continuity of optimal transportation maps Young-Heon Kim (University of British Columbia) 02:00 PM - 02:50 PM Fractional powers of the Laplacian and some applications Maria Gonzalez 04:00 PM - 04:50 PM Local solutions and existence of optimal transport maps for the $$W_\infty$$ Wasserstein distance. Extensions to more classical Monge problems. Luigi De Pascale
Jul 25, 2007
Wednesday
 01:00 PM - 01:50 PM Super- and sub-solutions of Aronsson equations Robert Jensen (Loyola University) 02:00 PM - 02:50 PM Asymptotic behaviour of infinity harmonic functions near isolated singularities. Yifeng Yu 04:00 PM - 04:50 PM Hessian Estimates for fourth order parabolic equations Sun-Sig Byun
Jul 26, 2007
Thursday
 01:00 PM - 01:50 PM The refractor problem in reshaping light beams Cristian Gutierrez 02:00 PM - 02:50 PM More PDE methods for weak KAM theory Lawrence Evans (University of California, Berkeley)
Jul 30, 2007
Monday
 09:00 AM - 09:45 AM Dispersion, Nonlinear Wave Equations 1 Christopher Sogge (Johns Hopkins University) 10:00 AM - 10:45 AM The Monge-Ampere Equation 1 Cristian Gutierrez 11:00 AM - 11:45 AM Dispersion, Nonlinear Wave Equations 2 Christopher Sogge (Johns Hopkins University) 12:00 PM - 12:45 PM The Monge-Ampere Equation 2 Cristian Gutierrez
Jul 31, 2007
Tuesday
 09:00 AM - 09:50 AM Dispersion, Nonlinear Wave Equations 3 Christopher Sogge (Johns Hopkins University) 10:30 AM - 11:20 AM The Monge-Ampere Equation 3 Cristian Gutierrez 11:40 AM - 12:30 PM Dispersion, Nonlinear Wave Equations 4 Christopher Sogge (Johns Hopkins University)
Aug 01, 2007
Wednesday
 09:00 AM - 09:50 AM The Monge-Ampere Equation 4 Cristian Gutierrez 10:30 AM - 11:20 AM Nonlinear Wave Equations 1 Daniel Tataru (University of California, Berkeley) 11:40 AM - 12:30 PM Weak Convergence Methods 1 Lawrence Evans (University of California, Berkeley)
Aug 02, 2007
Thursday
 09:00 AM - 09:50 AM Nonlinear Wave Equations 2 Daniel Tataru (University of California, Berkeley) 10:30 AM - 11:20 AM Weak Convergence Methods 2 Lawrence Evans (University of California, Berkeley) 11:40 AM - 12:30 PM Nonlinear Wave Equations 3 Daniel Tataru (University of California, Berkeley)
Aug 03, 2007
Friday
 09:00 AM - 09:50 AM Weak Convergence Methods 3 Lawrence Evans (University of California, Berkeley) 10:30 AM - 11:20 AM Nonlinear Wave Equations 4 Daniel Tataru (University of California, Berkeley) 11:40 AM - 12:30 PM Weak Convergence Methods 4 Lawrence Evans (University of California, Berkeley)
Aug 06, 2007
Monday
 09:00 AM - 10:00 AM Christ-1 Michael Christ (University of California, Berkeley) 02:00 PM - 03:00 PM Koch-1 Herbert Koch (Universität Bonn) 04:00 PM - 05:00 PM Around the 2D Energy of NLKG Slim Ibrahim
Aug 07, 2007
Tuesday
 09:00 AM - 10:00 AM Holmer-1 Justin Holmer 11:00 AM - 12:00 PM McCann-1 Robert McCann (University of Toronto) 11:00 AM - 12:00 PM Global-in-time Strichartz estimates for asymptotically flat Schr\"odinger equations Jason Metcalfe 02:00 PM - 03:00 PM Lp Bounds on Eigenfunctions for Lipschitz Metrics Hart Smith (University of Washington) 04:00 PM - 05:00 PM Quadratic Linear Wave Equations Dan Geba
Aug 08, 2007
Wednesday
 09:00 AM - 10:00 AM Sterbenz-1 Jacob Sterbenz 10:00 AM - 11:00 AM Tradinger-1 Neil Trudinger (Australian National University) 11:00 AM - 12:00 PM Global solutions for Schroedinger Maps Ioan Bejenaru
Aug 09, 2007
Thursday
 09:00 AM - 10:00 AM Local Smoothing in the Presence of Lots of Trapping Maciej Zworski (University of California, Berkeley) 10:00 AM - 11:00 AM S. Chen-1 Szu-yu Sophie Chen 11:00 AM - 12:00 PM Thomases-1 Becca Thomases 02:00 PM - 03:00 PM Strichartz Estimates on Manifolds with Boundary Matthew Blair 04:00 PM - 05:00 PM Marzuola-1 Jeremy Marzuola
Aug 10, 2007
Friday
 09:00 AM - 10:00 AM Xu-1 Xiangjin Xu