Timeline for A boundary Schauder estimate
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 10, 2020 at 17:41 | comment | added | jeanboi | @GiorgioMetafune I was trying that initially and couldn't use the maximum principle directly. I got $v(x) = \frac{f(0)}{2}x_n^2 - \frac{f(0)}{2}\int_{\mathbb{S}^{n-1}} K(x,y) y_n^2\operatorname{sgn}(y_n)\,d\sigma(y)$ (where, $K$ is the Poisson Kernel for unit sphere).. which is deg $2$ polynomial + $f(0) \times$ harmonic and I didn't know how to bound the $f(0)$ factor with $\lVert v \rVert_{L^{\infty}(B_1^+)}$. | |
| Apr 10, 2020 at 15:56 | vote | accept | jeanboi | ||
| Apr 10, 2020 at 15:37 | answer | added | Connor Mooney | timeline score: 6 | |
| Apr 10, 2020 at 13:24 | comment | added | Giorgio Metafune | I think you should subtract the function $v$ which solves $\Delta v=f(0)$ with Dirichlet boundary conditions on $\partial B_1^+$. Please, let me know. | |
| Apr 10, 2020 at 7:54 | history | edited | jeanboi | CC BY-SA 4.0 |
added 86 characters in body
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| Apr 8, 2020 at 23:16 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Apr 8, 2020 at 23:10 | review | First posts | |||
| Apr 9, 2020 at 0:17 | |||||
| Apr 8, 2020 at 23:07 | history | asked | jeanboi | CC BY-SA 4.0 |