Timeline for A Global Estimates for Linear Elliptic PDE
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 8, 2015 at 20:54 | comment | added | username | Now done, as announced by @FanZheng earlier, $H^1$ is sufficient. | |
| Dec 8, 2015 at 20:52 | history | edited | username | CC BY-SA 3.0 |
made the argument more precise
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| Dec 8, 2015 at 9:50 | vote | accept | A random mathematician | ||
| Dec 8, 2015 at 8:22 | comment | added | username | @MathStudent I don't see what you mean. But 2.b is not optimal: if we allow $f\in H^1$ (as suggested) then it can be improved (by bootstrap) to get to $a$ in a slightly bigger space (I think). I'll edit it. | |
| Dec 8, 2015 at 7:20 | comment | added | A random mathematician | This leads to the estimate ||a(x)u||H1(Ω)≤(1+C||a||W1,pn) ∥|f||L2(Ω), and not ||a(x)u||H1(Ω)≤C||a|| ∥|f||L2(Ω). The second inequality gives a better estimate for small a | |
| Dec 7, 2015 at 23:04 | history | answered | username | CC BY-SA 3.0 |