Timeline for The solvability of a Hölder ODE
Current License: CC BY-SA 3.0
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| Jul 7, 2013 at 9:52 | comment | added | Thomas | Thanks for your answer. It is helpful. But what if I don't need $u$ to be monotone increasing on $(0,1)$. Just like the question I change,$\lim\limits_{h\rightarrow 0^+}\frac{|u(x+h)-u(x)|}{\left|h\right|^{1/2}}=\sqrt{|x|},\forall x\in(-1,1)$. Then $u$ may not be monotone increasing, in this case. | |
| Jul 6, 2013 at 15:33 | history | answered | Michael Renardy | CC BY-SA 3.0 |