Timeline for Gradient elliptic estimate
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| May 31, 2014 at 10:55 | comment | added | Connor Mooney | The barriers in 2) lie above $u$ and are $0$ at $(x_0',0)$, and along $(x_0',t)$ for $t > 0$ it is easy to check that the barrier centered at $(x_0',-1)$ lies below $Ct$. For the other questions feel free to shoot me an email. | |
| May 31, 2014 at 10:48 | comment | added | Connor Mooney | Since you wrote $f(x_N,u) < 0$ it seems to me you do have an equation of the form $\Delta u = g$ with $g > 0$. | |
| May 21, 2014 at 22:33 | comment | added | José Carlos | Connor, thank you for your patience and attention. I didn't understand some steps of your proof. First, observe that I have no information about the signal of $f$, and you assumed $g>0$. Second, could you explain me how to obtain the estimate $0\leq u\leq C(M)x_{n}$ using the barrier function? Finally, can you re-explain the steps $3$ and $4$? Thank you very much. | |
| May 8, 2014 at 13:21 | history | edited | Connor Mooney | CC BY-SA 3.0 |
added 50 characters in body
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| May 8, 2014 at 13:13 | history | edited | Connor Mooney | CC BY-SA 3.0 |
added 50 characters in body
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| May 8, 2014 at 13:00 | history | answered | Connor Mooney | CC BY-SA 3.0 |