Timeline for Underdetermined system of linear PDEs

11 events

when toggle format	what		by	license	comment
Nov 11, 2021 at 15:46	vote	accept	Matteo Raffaelli
Dec 14, 2018 at 16:15	history	edited	Matteo Raffaelli	CC BY-SA 4.0	deleted 7 characters in body
Dec 14, 2018 at 16:07	history	edited	Matteo Raffaelli	CC BY-SA 4.0	added 2 characters in body
Dec 13, 2018 at 8:43	answer	added	Robert Bryant		timeline score: 6
Dec 12, 2018 at 14:51	history	edited	Matteo Raffaelli	CC BY-SA 4.0	edited body
Dec 12, 2018 at 14:50	comment	added	Matteo Raffaelli		@RobertBryant Yes, I am assuming linear independence
Dec 12, 2018 at 14:49	comment	added	Matteo Raffaelli		@DeaneYang Thanks for the book suggestion and for the paper. I will look at it carefully
Dec 12, 2018 at 14:42	comment	added	Robert Bryant		Are you assuming anything about $a(t,u)$ and $b(t,u)$? For example, do you assume that they are linearly independent at every point $(t,u)$ in the unit square?
Dec 12, 2018 at 14:41	comment	added	Deane Yang		An example, where a sufficiently nondegenerate $1$-by-$2$ system can be solved using Gromov's approach, can be found here: deaneyang.com/papers/underdetermined_ode.pdf.
Dec 12, 2018 at 14:33	comment	added	Deane Yang		Have you looked at Gromov's book Partial Differential Relations? He studies underdetermined systems of PDEs and applies them to prove existence and perhaps flexibility of isometric embeddings.
Dec 12, 2018 at 14:22	history	asked	Matteo Raffaelli	CC BY-SA 4.0