Niklas Wellander: A priori estimates of solutions to the Maxwell equations
Time: Wed 2014-01-22 15.00
Location: Teknikringen 33, The seminar room, H21, (1.5 stairs above the ground level)
Participating: Niklas Wellander, Swedich Defence Research Agency, FOI Sensor Technology, Linköping
Abstract:
We consider variation formulations of Maxwell's equations and present a collection of a priori estimates of the electromagnetic field scattered by a general bounded domain. Surface averages are investigated and several results on the decay of these averages are presented. The norm of the exterior Calder\'on operator for a sphere is investigated and depicted as a function of the frequency. The exterior Calder\'on operator maps tangential electric field to the tangential magnetic field, which are solutions to a particular exterior scattering problem.
This work is done i collaboration with Gerhard Kristensson, Lunds University