From PDEs to Pfaffian fibrations

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From PDEs to Pfaffian fibrations
 
Cattafi, F.; Crainic, M.N.; Salazar Pinzon, M.A.
(2020) Journal of the European Mathematical Society, volume 66, issue 1/2, pp. 187 - 250
(Article)
Abstract
We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting.
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Keywords: Jet bundles, geometric study of PDEs, Spencer operators, dierential forms, distributions, Taverne
DOI: https://doi.org/10.4171/LEM/66-1/2-10
ISSN: 1435-9855
Publisher: European Mathematical Society Publishing House
(Peer reviewed)
 
 
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