English

Hyperbolic Cauchy problem and Leray's residue formula

Analysis of PDEs 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0011201,
  title  = {Hyperbolic Cauchy problem and Leray's residue formula},
  author = {Susumu Tanabé},
  journal= {arXiv preprint arXiv:math/0011201},
  year   = {2007}
}

Comments

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