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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

From Crystal Optics to Dirac Operators: a Spectral Theory of First-Order Systems




Date(s) : 10/02/2015   iCal
11h00 - 12h00

First-order systems of partial differential equations
appear in many areas of physics, from the Maxwell equations to the Dirac
operator.
The aim of the talk is to describe a general method for the study of
the spectral density of all such systems, connecting it to traces on the
(geometric-optical) « slowness surfaces » .
The Holder continuity of the spectral density leads to a derivation
of the limiting absorption principle and global spacetime estimates.
(based on joint work with Tomio Umeda).

[http://www.ma.huji.ac.il/~mbartzi/]

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