Timeline for Does ODE uniqueness unconditionally implies the flow continuity?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 2, 2020 at 21:12 | vote | accept | Liding Yao | ||
| Nov 2, 2020 at 15:31 | comment | added | demolishka | @yaoliding, solutions with sufficiently close (to a given one) initial conditions exist on a common sufficiently small time interval and lie in a common bounded set. Thus, Arzelà–Ascoli theorem gives the precompactness of any sequence of solutions, for which initial conditions converge to a given one. To show the convergence of solutions one uses a simple criterion: a sequence converges (to some limit) if and only if any of its subsequences has a convergent (to the same limit) subsequence. | |
| Nov 2, 2020 at 4:13 | comment | added | Liding Yao | Do you mean using Arzela-Ascoli to find a convergent subsequence and show that the limit solution is as desired? | |
| Nov 2, 2020 at 3:24 | history | answered | demolishka | CC BY-SA 4.0 |