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.
Original language | English |
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Pages (from-to) | 187-250 |
Number of pages | 63 |
Journal | Journal of the European Mathematical Society |
Volume | 66 |
Issue number | 1/2 |
DOIs | |
Publication status | Published - 6 Oct 2020 |
Keywords
- Jet bundles
- geometric study of PDEs
- Spencer operators
- dierential forms
- distributions