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Zbl 0951.35007
Malgrange, Bernard
La variété caractéristique d'un système différentiel analytique. (The characteristic variety or an analytic differential system). (French)
[J] Ann. Inst. Fourier 50, No.2, 491-518 (2000); erratum ibid. 52, No.5, 1591-1592 (2002). ISSN 0373-0956; ISSN 1777-5310/e

Summary: The characteristic variety of an analytic linear differential system has the two following classical properties:\par 1. Independance of the filtration. \par 2. Integrability (e.g. stability by Poisson bracket).\par Here, it is proven that the first property is still true for nonlinear systems outside of the zero-section. The second property is still true generically (at the other points, the question remains open).

MSC 2000:: *35A20 Analytic methods (PDE)
35Q58 Other completely integrable PDE

Keywords: independence of the filtration; stability by Poisson bracket; involutive systems

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