Sato-Kashiwara Determinant and Levi Conditions for Systems

J. Math. Sci. Univ. Tokyo
Vol. 7 (2000), No. 3, Page 401--422.

D'Agnolo, Andrea ; Taglialatela, Giovanni
Sato-Kashiwara Determinant and Levi Conditions for Systems
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Abstract:
We prove that a second-microlocal version of the Sato-Kashiwara determinant computes the Newton polygon of determined systems of linear partial differential operators with constant multiplicities. Applications are given to the Cauchy problem for hyperbolic systems with regular singularities.

Mathematics Subject Classification (1991): 58G16, 35A27
Mathematical Reviews Number: MR1792734

Received: 1999-04-20