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Jan 1 at 10:06 comment added Jochen Wengenroth Okay, I agree with your argument.
Dec 31, 2023 at 19:23 vote accept G. Panel
Dec 31, 2023 at 17:30 comment added anything I may misunderstand your point, but his definition of exit time allows the trajectory actually leaves K, out of the boundary, within finite time.
Dec 31, 2023 at 8:11 comment added Jochen Wengenroth This argument needs more precision. If the hypothesis would allow to vary the compact set $K$, this would be okay (if a trajectory leaves a neighbourhood of $K$ then continuity w.r.t. initial conditions can be applied). But a trajectory could maybe stay in the boundary of a fixed compact set $K$.
Dec 30, 2023 at 14:10 history answered anything CC BY-SA 4.0