Timeline for Are linearizations of involutive PDEs locally solvable?
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| Apr 29, 2020 at 18:25 | comment | added | Ben McKay | In my lecture notes, I describe the linearization of exterior differential systems, and prove that the tableau is invariant under linearization, so involutive systems have involutive linearization: arxiv.org/pdf/1706.09697.pdf, p. 48. | |
| Mar 23, 2015 at 17:23 | comment | added | Orn Arnaldsson | The Pommaret theory of involution and the Spencer cohomology one in EDS are equivalent, see Werner Seiler's book, "Involution". There is a new formulation of pseudo-groups by Olver and Pohjanpelto (math.umn.edu/~olver/mf_/psa.pdf) where they basically say that it is not clear wheather the linearization of an involutive system is still involutive and make this an extra condition on the pseudo-group (calling it "tameness" of the pseudo-group). Do you agree that since the involutive system and its linearization have the same symbol module, then both are involutive? | |
| Mar 23, 2015 at 7:30 | history | answered | Ben McKay | CC BY-SA 3.0 |