Timeline for What is the the "method of ascending" in the study of elliptic systems in dimension two?
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4 events
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| Jan 1, 2022 at 14:14 | comment | added | Willie Wong | (It is not so much "elliptic" specific: most students of PDE probably saw it first when learning about deriving the fundamental solution for the linear wave equation on $\mathbb{R}^{1+2}$ from that of $\mathbb{R}^{1+3}$.) | |
| Jan 1, 2022 at 14:12 | comment | added | Willie Wong | Just set the functions to be constant along the dummy variable? Simplest example: if $\Delta u = f$ on the two dimensional ball, set $\tilde{u}(x,y,z) = u(x,y)$ and $\tilde{f}(x,y,z) = f(x,y)$, then $\Delta \tilde{u} = \tilde{f}$ on the three dimensional ball, and then any estimates for solutions of the three dimensional Poisson problem gives an analogous estimate for the two dimensional problem. | |
| Jan 1, 2022 at 10:06 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Made explicit the reference + minor grammar improvements
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| Jan 1, 2022 at 9:05 | history | asked | Luis Yanka Annalisc | CC BY-SA 4.0 |