FROM CRYSTAL OPTICS TO DIRAC OPERATORS: A SPECTRAL THEORY OF FIRST-ORDER SYSTEMS

Seminar
Speaker
Prof. Matania Ben-Artzi, Hebrew University, Jerusalem
Date
13/01/2014 - 14:00Add to Calendar 2014-01-13 14:00:00 2014-01-13 14:00:00 FROM CRYSTAL OPTICS TO DIRAC OPERATORS: A SPECTRAL THEORY OF FIRST-ORDER SYSTEMS  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). אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

 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).

תאריך עדכון אחרון : 06/01/2014