Propagation Of Singularities For Fuchsian Operators

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The main purpose of this monograph is the study of Fuchsian systems of the form (0.1 ) Pu (td I - A(t,x,D ,D »)u(t,x)

tNt x f(t,x) r

where A is an N x N matrix of classical pseudodifferential operators (p d 0) of order o n+l defined on lR n lR x lR t x More precisely, we are interested in 00 describing C -singularities of the solutions of system (0.1) i.e. the set WF(u) , WF(Pu) , where WF(v) denotes the wave front set of the distribution v as defined in L. H6rmander [14] N we put WF(v) jLJ 1 WF (V j » . (for a vector-valued distribution v= It is well known that the structure of the set the characteristics of the operator P, Le.

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