International Workshop "Advances in Nonlinear Analysis"

Department of Mathematics, University of Pittsburgh
March 13 - 15, 2014

The workshop will be held in the framework of 2014 Theme Semester on Convex Integration and Analysis at the University of Pittsburgh. It aims to bring together leading researchers in Nonlinear Analysis and to disseminate the most recent developments and techniques at the crossing of Partial Differential Equations, Geometric Analysis, Geometric Measure Theory, Harmonic Analysis and Potential Theory, and Nonlinear Analysis.

Keynote Speakers:

Luigi Ambrosio , Scuola Normale Superiore, Italy
Well posedness of continuity equations and flows in metric measure spaces

Robert Jerrard , University of Toronto, Canada
Vortex filaments in the Euler equation

John Lewis , University of Kentucky
Hausdorff dimension and \sigma finiteness of some p-harmonic measures

Xavier Tolsa , Universitat Autonoma de Barcelona, Spain
Square functions, densities, and rectifiability

Plenary Speakers:

Marianna Csornyei , University of Chicago

David Drasin , Purdue University
Sharpness of Rickman's Picard theorem

Paul Feehan , Rutgers University
A Classical Perron Method for Existence of Smooth Solutions to Boundary Value and Obstacle Problems for Boundary-degenerate Elliptic Operators via Holomorphic Maps

Nicola Garofalo , University of Padova, Italy
Recent developments in lower-dimensional obstacle problems

Wilfrid Gangbo , Georgia Institute of Technology
Existence of a solution to an equation arising from Mean Field Game

Pekka Koskela , University of Jyvaskyla, Finland
Lebesgue points via Poincare inequality

Giovanni Leoni , Carnegie Mellon University
Dynamics for systems of screw dislocations

Marta Lewicka , University of Pittsburgh
Variational models for prestrained plates with the Monge-Ampere constraint

Jeremy Tyson , University of Illinois at Urbana-Champaign
Dimension distortion by Sobolev and quasiconformal mappings on the Heisenberg group

Ignacio Uriarte-Tuero , Michigan State University
Two weight norm inequalities for singular and fractional integral operators in R^n

Joan Verdera , Universitat Autonoma de Barcelona, Spain
From Calderon-Zygmund theory to Euler vortex patches

Yu Yuan , University of Washington
Self similar solutions for curvature flows

The Workshop will begin at 9am on Thursday and will end at lunchtime on Saturday. Click here for the schedule of the Workshop.

Funding is available for PhD students, postdocs and young researchers. For funding opportunities, please contact the organizers. Funding for this Workshop has been kindly provided by the Mathematics Research Center at the University of Pittsburgh, the Institute for Mathematics and its Applications, and the National Science Foundation under the grant DMS-1400941.

The poster can be downloaded by clicking on the image in the right hand side.

The organizing committee consists of: Piotr Hajlasz , Marta Lewicka , Juan Manfredi and Reza Pakzad .