Hyperbolic Cauchy problem and Leray's residue formula

Susumu Tanabé

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Hyperbolic Cauchy problem and Leray's residue formula

Susumu Tanabé

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Abstract

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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Susumu Tanabé. 2000-11-23. Hyperbolic Cauchy problem and Leray's residue formula. https://arxiv.org/abs/math/0011201

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