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Analytic singularities of solutions of differential equations. (English) Zbl 0792.58039
Kashiwara, Masaki (ed.) et al., D-modules and microlocal geometry. Proceedings of the international conference, held at the University of Lisbon, Portugal, Oct. 29-Nov. 2, 1990. Berlin: Walter de Gruyter. 187-198 (1993).
The paper deals with the Cauchy problem for differential operators with holomorphic coefficients on complex-analytic manifolds. In the first part of the paper the results of the authors’ investigations in the stated direction are briefly reviewed. In the second part the authors’ results concerning local existence theorems are presented.
For the entire collection see [Zbl 0771.00033].
##### MSC:
 58J47 Propagation of singularities; initial value problems on manifolds 32S40 Monodromy; relations with differential equations and $$D$$-modules (complex-analytic aspects) 35A07 Local existence and uniqueness theorems (PDE) (MSC2000)