THE MALLAT FAMILY FUND FOR RESEARCH IN MATHEMATICS
invites you to a
SPECIAL LECTURE SERIES
to be presented by
Professor Paul H Rabinowitz
University of Wisconsin–Madison
Member of the
The lectures will be held in
Israel Institute of Technology
Towards an Aubry-Mather Theory for PDE's I
(a) The work of Moser and then of Bangert towards a PDE version of the Aubry-Mather theory of invariant curves for self maps of an annulus
(b) The recent developments due to Rabinowitz and Stredulinsky which introduce renormalized functionals to the Moser-Bangert setting and use them to obtain a large variety of solutions of the PDE's.
Towards an Aubry-Mather Theory for PDE's II
This lecture will both discuss some results not given in the first lecture and sketch the proofs of some of the surveyed results.
Homoclinic Solutions of Hamiltonian
Double Well Potentials
A survey will be given of existence results for heteroclinic and homoclinic solutions of the Hamiltonian system
q" + V_q(t,q) =0
where q is in R^n and V is either a periodic or double well potential in q. Some recent work on a case in which the bottoms of the wells are are different levels will be discussed in more detail.
construction in the