Timeline for Operator eigenvalues and eigenvalues of pointwise evaluation matrix
Current License: CC BY-SA 3.0
7 events
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Sep 17, 2011 at 21:09 | comment | added | dranxo | When you perturb your operator (eg by coarsening the grid) how the spectrum changes can be studied with a differential equation. terrytao.wordpress.com/2008/10/28/when-are-eigenvalues-stable might be useful. | |
Sep 17, 2011 at 15:09 | comment | added | alext87 | Yes, you are right. I have no idea how to show this then. :( | |
Sep 17, 2011 at 15:05 | history | edited | alext87 | CC BY-SA 3.0 |
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Sep 17, 2011 at 14:41 | comment | added | Denis Serre | I don't understand why the inequality of your attempt should be true. The right-hand side should involve some norm of $u$ (that in $L^2$ maybe) and the inequality can be valid only for special $u$'s, because $u\mapsto u(x_j)$ is not well-defined on $L^2$. | |
Sep 17, 2011 at 14:38 | history | edited | Denis Serre | CC BY-SA 3.0 |
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Sep 17, 2011 at 11:18 | history | edited | alext87 | CC BY-SA 3.0 |
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Sep 17, 2011 at 11:10 | history | asked | alext87 | CC BY-SA 3.0 |