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Schedule, Notes/Handouts & Videos

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

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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, Austin)
02:00 PM - 02:50 PM
  On the Green's matrices of strongly elliptic and parabolic systems of second order
Hongjie Dong (Brown University)
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 del Mar Gonzalez (Polytechnical University of Cataluña (Barcelona) )
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 (University of California, Irvine)
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 Gutiérrez (Temple University)
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 Gutiérrez (Temple University)
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 Gutiérrez (Temple University)
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 Gutiérrez (Temple University)
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 Gutiérrez (Temple University)
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 (Rheinische Friedrich-Wilhelms-Universität Bonn)
04:00 PM - 05:00 PM
  Around the 2D Energy of NLKG
Slim Ibrahim (University of Victoria)
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 (University of Rochester)
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 (University of California, San Diego)
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 (University of North Carolina)
Aug 10, 2007
Friday
09:00 AM - 10:00 AM
  Xu-1
Xiangjin Xu
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