New connections between dynamical systems and PDE's

July 6 to 10, 2003

at the

American Institute of Mathematics, Palo Alto, California

organized by

Lawrence C. Evans and Paul Rabinowitz

This workshop, sponsored by AIM and the NSF, will explore new connections between dynamical systems and PDE's. Specific topics include emerging connections between Mather sets and viscosity solutions of nonlinear PDE's, recent progress on PDE versions of Aubrey-Mather Theory, and KAM theory for dynamical systems and its PDE analogues.

This workshop will bring together researchers in dynamical systems and partial differential equations. We hope especially to facilitate communication between workers in these areas and to describe and exploit the deep connections between the two subjects.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and there will be ample time between talks for discussions and for work to be done.

Invited participants include N. Anantharaman, V. Bangert, P. Bernard, M. Berti, U. Bessi, J. Bisgard, S. Bolotin, L. Caffarelli, G. Contreras, W. Craig, R. de la Llave, C. Evans, A. Fathi, G. Forni, D. Gomes, R. Iturriaga, K. Khanin, S. Kuksin, J. Mather, P. Rabinowitz, P. Souganidis, E. Stredulinsky, E. Wayne, J. Xia, Y. Yu, and V. Coti Zelati.

The application deadline for participation in this workshop has passed.

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