Timeline for Parameter dependent differential equation in a Lie group
Current License: CC BY-SA 3.0
3 events
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| Dec 8, 2013 at 12:47 | comment | added | Jaap Eldering | Indeed, but this result extends straigthforwardly at least to normed vector spaces (not necessarily complete), see for example Theorem A6 in my book (or also PhD thesis). Note that there I prove a bit more abstractly that the flow depends smoothly on the vector field in a uniform context, but the same argument can be used to prove that it depends $C^k$ on parameters in a normed space. I don't know if this implies metrisable TVS's. | |
| Dec 7, 2013 at 17:21 | comment | added | Tobias Diez | I think you refer to Theorem B3, which however only handles the case of a scalar parameter $\epsilon \in \mathbb{R}$. Thanks nonetheless! | |
| Dec 7, 2013 at 16:42 | history | answered | Jaap Eldering | CC BY-SA 3.0 |