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.
Sato-Kashiwara determinant and Levi conditions for systems
Andrea D'Agnolo;
2000
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.
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