Malgrange, Bernard Reduction d’un système microdifferentiel aux points generiques. I. (French) Zbl 0484.58031 Compos. Math. 44, 133-143 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 58J99 Partial differential equations on manifolds; differential operators 58J15 Relations of PDEs on manifolds with hyperfunctions 32Q99 Complex manifolds 58J40 Pseudodifferential and Fourier integral operators on manifolds Keywords:sheaf formal microdifferential operators on the cotangent bundle of a complex analytic manifold; reduced form of a micro-differential system over a dense open subset of the characteristic manifold; microdifferential operators of fractional order; differential equations with irregular singularities × Cite Format Result Cite Review PDF Full Text: Numdam EuDML References: [1] B. Malgrange : L’involutivité des caractéristiques des systèmes différentiels et microdifférentiels , Séminaire Bourbaki 1977/78, n^\circ 522. · Zbl 0423.46033 [2] B. Malgrange : Sur la réduction formelle des équations différentielles à singularités irrégulières , Notes Multigraphiées , Grenoble, (1979). [3] P. Robba : Lemmes de Hensel Pour des opérateurs différentiels , L’Enseignement mathématique, + .26 fasc. 3-4 (1980), p. 279-311. · Zbl 0466.12014 [4] M. Sato , T. Kawai et M. Kashiwara : Microfunctions and pseudo differential equations , Lecture Notes in Math., n^\circ 287 (1973), pp. 264-529, Springer. · Zbl 0277.46039 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.