Propagation of singularities and microlocal analysis

Sean Holman (University of Manchester)

G.205 Alan Turing Building,

In this talk I will describe how microlocal analysis can be used to understand the propagation of singularities for waves propagating in a continuously varying medium. It was known for a long time that wave fronts will follow paths which minimise travel time, and the mathematical explanation of this directly from the underlying PDEs developed over a long period into the theory of microlocal analysis. I will explain this propagation of singularities for waves, and give a flavour of the more general theory of microlocal analysis which has developed from it.

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