Spencer δ-cohomology, restrictions, characteristics and involutive symbolic PDEs

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Spencer δ-cohomology, restrictions, characteristics and involutive symbolic PDEs

 

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Title: Spencer δ-cohomology, restrictions, characteristics and involutive symbolic PDEs
Author: Kruglikov, Boris; Lychagin, Valentin V.
Date: 07-Mar-2005
Type: Working paper; Arbeidsnotat
Abstract: We generalize the notion of involutivity to systems of differential equations of different orders and show that the classical results relating involutivity, restrictions, characteristics and characteristicity, known for first order systems, extend to the general context. This involves, in particular, a new definition of strong characteristicity. The proof exploits a spectral sequence relating Spencer δ-cohomology of a symbolic system and its restriction to a non-characteristic subspace.
URI: http://hdl.handle.net/10037/2052


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