I will discuss the precise relationship between characteristic
Cauchy data for partial differential equations (PDEs) and certain
singularities of solutions called fold-type singularities. If we
interpret a solution as a wave, then a fold-type singularity can be
interpreted as a wave front. I'll show that every PDE defines a new
equation describing the propagation of such wave fronts. I will use the
geometric language of jet spaces, so all the discussion will be
manifestly coordinate independent. This is a review talk and I don't
claim any originality on the subject.
Identyfikator spotkania: 922 6017 1487
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