Timeline for Gronwall's inequality for higher order derivatives
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2, 2017 at 17:03 | comment | added | H_R | I see. So instead of gluing each piece together at a point, you would connect them using a tiny piece whose second derivative matches on either side. | |
| Dec 2, 2017 at 2:24 | comment | added | Christian Remling | @H_R: That's just because it was easy to describe this way, we can modify the function slightly near the gluing points to obtain a smooth counterexample. | |
| Dec 2, 2017 at 0:01 | comment | added | H_R | This is a great counterexample, thanks. However, your function is not twice differentiable where the pieces are glued together. I wonder if the statement I was hoping for is true if we insist the inequality holds at every point (in particular, u is twice differentiable at every point). | |
| Nov 20, 2017 at 17:43 | vote | accept | H_R | ||
| Nov 18, 2017 at 0:33 | history | answered | Christian Remling | CC BY-SA 3.0 |