CMI Workshop: Solvability and Spectral Instability


September 18-21, 2007

The workshop is in the honor of the 50th anniversary of Hans Lewy's famous paper ("An example of a smooth linear partial differential equation without solution", Ann. of Math. (2) 66 (1957), 155-158) which gave the first example of a PDE that was not solvable.

The workshop will be held at the Clay Mathematics Institute Headquarters in Cambridge, Massachusetts..

Schedule

Tuesday, September 18

9:00-9:30 Welcome
9:30-10:30 Nils Dencker, The Pseudospectra of Systems
11:00-12:00 Brian Davies, Random Perturbations of Jordan Matrices and the Relevance of Directed Graphs
15:30-16:30 Karel Pravda-Starov, On the Pseudospectrum of Certain Non-Selfadjoint Pseudodifferential Operators

Wednesday, September 19

9:30-10:30 Mark Embree, Approximation and Recovery of Damped Wave Operators
11:00-12:00 Maciej Zworski, Local Smoothing in the Presence of Lots of Trapping
15:30-16:30 William Bordeaux-Montrieux, Asymptotique Spectrale Presque sûre D'un Opérateur Différentiel Non-Autoadjoint

Thursday, September 20

9:30-10:30 Richard Melrose, Long Time Behaviour of Solutions to the Wave Equation and Trapping
11:00-12:00 Alberto Parmeggiani, The Fefferman-Phong Inequality for Systems
14:00-15:00 Ferruccio Colombini, Local Solvability Beyond Condition \psi

Friday, September 21

9:30-10:30 Yoshinori Morimoto, The Uncertainty Principle of Fefferman-Phong for Fractional and Logarithmic Order
11:00-12:00 Michael Hitrik, Tunneling and Return to Equilibrium for Kramers-Fokker-Planck Type Operators

Organizers

Participants