Hyperbolic Cauchy problem and Leray's residue formula
Volume 74 / 2000
Annales Polonici Mathematici 74 (2000), 275-290
DOI: 10.4064/ap-74-1-275-290
Abstract
We give an algebraic description of (wave) fronts that appear in strictly hyperbolic Cauchy problems. A concrete form of a defining function of the wave front issued from the initial algebraic variety is obtained with the aid of Gauss-Manin systems satisfied by Leray's residues.
