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
Room
232
Technion -
Israel Institute of Technology
Lecture
I:
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
and
(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.
Lecture
II:
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.
Lecture
III:
Homoclinic Solutions of Hamiltonian
Systems with
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.
Due to
construction in the