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From Crystal Optics to Dirac Operators--A Spectral Theory

Presented by: 
M Ben-Artzi Hebrew University of Jerusalem
Date: 
Thursday 2nd August 2012 - 16:00 to 16:45
Venue: 
INI Seminar Room 1
Abstract: 
A unified approach to first-order systems of classical physics is presented. Dirac operators are included, but there is no need for the fact that the square is the Laplacian (+ constant). The main tool is a derivation of the Limiting Absorption Principle, using the geometry of the characteristic surfaces and the trace lemma. As an application, global spacetime estimates are derived, in weighted Sobolev spaces.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons