Timeline for Infinite series of derivatives of position when starting from rest
Current License: CC BY-SA 3.0
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| Mar 26, 2015 at 14:00 | comment | added | ACuriousMind♦ | There are classical situations one can construct where the IVP of no inital force and no initial movement is not uniquely solved by the particle remaining at rest, see Norton's dome. By Picard-Lindelöf, you need $F(x)$ to be Lipschitz continuous to guarantee local uniqueness of the solution, which is a condition different from smooth as in "infinitely often differentiable", but it is not clear that all physical forces should be Lipschitz continuous. | |
| May 5, 2014 at 14:01 | history | answered | Robin Ekman | CC BY-SA 3.0 |