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Applied Mathematics Colloquium: Dr. Matthias Eller

Georgetown University

Friday, October 12, 2018
2:00 PM - 3:00 PM
Mathematics/Psychology : 103
Title: Stability of Maxwell's equations with a conductivity term

Speaker: Matthias Eller, Georgetown University
Abstract:  We will review several results concerning the stability of the dissipative linear wave equation.  After that we move on to Maxwell's equations where the conductivity term introduces a natural interior dissipation. This problem is more challenging since it involves a system of PDE. Important ingredients of our approach are the analysis of solutions or higher regularity as well as a unique continuation property of the time-harmonic Maxwell equations.