School of Mathematical Sciences
   
   
  

Industrial and Applied Mathematics Seminar and Wave Chaos Seminar: Dr Euan Spence

Location
Mathematical Sciences Building A17
Date(s)
Wednesday 30th October 2019 (15:00-16:00)
Contact
Anna Kalogirou or Martin Richter
Description

Speaker: Dr Euan Spence (University of Bath)

Title: For most frequencies, strong trapping has a weak effect in frequency-domain scattering

It is well known that when the geometry and/or coefficients allow stable trapped rays, the solution operator of the Helmholtz equation (aka the resolvent of the Laplacian) grows exponentially through a sequence of real frequencies tending to infinity.

In this talk (based on the paper For most frequencies, strong trapping has a weak effect in frequency-domain scattering) we show that, even in the presence of the strongest-possible trapping, if a set of frequencies of arbitrarily small measure is excluded, the Helmholtz solution operator grows at most polynomially as the frequency tends to infinity.

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