Timeline for Is it possible to bound the L2 norm of the gradient of a divergent by the L2 norm of the Lapacian?
Current License: CC BY-SA 4.0
4 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jan 25 at 5:46 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing
|
Jan 24 at 20:52 | comment | added | Giorgio Metafune | Yes and this follows from the scalar case: $\|D^2 u\|_2 =\|\Delta u\|_2$ where $(D^2 u)$ is the Hessian matrix of $u$. Having this, $\|D^2_{ik}u_i\|_2^2 \leq \|\Delta u_i\|_2^2$ for $i=1,2,3$ which gives the inequality componentwise. | |
S Jan 24 at 20:17 | review | First questions | |||
Jan 25 at 5:46 | |||||
S Jan 24 at 20:17 | history | asked | Alberto Leandro | CC BY-SA 4.0 |