Hyperbolic Cauchy problem and Leray's residue formula

Details Hyperbolic Cauchy problem and Leray's residue formula Hyperbolic Cauchy problem and Leray's residue formula

2000-11-23

arxiv.org/abs/math/0011201v1

Mathematics

Analysis of PDEs

14 pages, Talk at the International Banach Mathematical Centre, Warsaw, March 1999

Scientific paper

We give an algebraic description of wave fronts that appear in strictly
hyperbolic Cauchy problem. Concrete form of definig function of wave front
issued from initial algebraic variety is obtained by the aid of the Gauss-Manin
systems satisfied by Gel'fand -Leray integrals.

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