University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday 23 March, 12:10-1:00pm
                          2195 Bahen Center      



SPEAKER:  Jeremie Szeftel

TITLE:    Almost global existence for Hamiltonian semi-linear 
	  Klein-Gordon equations with small Cauchy data on Zoll 
	  manifolds

ABSTRACT: We prove almost global existence results for Klein-Gordon 
	  equations on Zoll manifolds (e.g. spheres of arbitrary 
	  dimension) with Hamiltonian nonlinearities, when the Cauchy 
	  data are smooth and small. The proof relies on Birkhoff 
	  normal form methods and on the specific distribution of 
	  eigenvalues of the laplacian perturbed by a potential on 
	  Zoll manifolds.





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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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