Timeline for Viscosity solutions for $u'(x) + \alpha u(x) - f(x) = 0$: supersolutions dominate subsolutions
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 20, 2017 at 6:32 | history | edited | Paul Bryan | CC BY-SA 3.0 |
Added link to answer to negative alpha case
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| Apr 20, 2017 at 6:21 | history | edited | Paul Bryan | CC BY-SA 3.0 |
added 50 characters in body
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| Apr 20, 2017 at 6:19 | comment | added | Paul Bryan | Yes. Sorry! Carried an extra two. | |
| Apr 19, 2017 at 9:49 | comment | added | user102027 | However your $u_2$ is not a subsolution, I think. | |
| Apr 19, 2017 at 2:27 | comment | added | Paul Bryan | The solution is not greater than the subsolution! $0 \geq -1/2x + x^2$ is not true for sufficiently large $x$. That's why it's a counter example. In other words, your claim is false for $\alpha < 0$. | |
| Apr 19, 2017 at 1:59 | comment | added | Paul Bryan | I updated the answer with a counter example. | |
| Apr 19, 2017 at 1:59 | history | edited | Paul Bryan | CC BY-SA 3.0 |
added 335 characters in body
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| Apr 19, 2017 at 0:55 | history | answered | Paul Bryan | CC BY-SA 3.0 |