Timeline for Domain of the adjoint of the Laplacian
Current License: CC BY-SA 4.0
9 events
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| Nov 14, 2022 at 5:10 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing
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| Jan 17, 2014 at 11:17 | comment | added | khoefli | Thanks to all for the helpful answers. With respect to the question of Liviu, the domain of the Laplacian should be the space of smooth functions with compact support. | |
| Jan 16, 2014 at 14:47 | comment | added | Michael Renardy | It u and $\Delta u$ are in $L^2$, it certainly does not follow that $u\in H^2$, unless some restriction is imposed at the boundary. | |
| Jan 16, 2014 at 14:34 | comment | added | Liviu Nicolaescu | When you speak of adjoint of $-\Delta$ you first need to specify the domain of $-\Delta$. How do you define the domain of the Laplacian? | |
| Jan 16, 2014 at 13:30 | comment | added | András Bátkai | The book of Renardy-Rogers gives you also information on this. If the boundary is smooth, then yes, in general no. | |
| Jan 16, 2014 at 13:28 | comment | added | shu | you can find such things in Taylor's book Partial Differential Equations I amazon.com/Partial-Differential-Equations-Mathematical-Sciences/… | |
| Jan 16, 2014 at 13:22 | review | First posts | |||
| Jan 16, 2014 at 13:24 | |||||
| Jan 16, 2014 at 13:14 | history | edited | khoefli | CC BY-SA 3.0 |
added 133 characters in body
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| Jan 16, 2014 at 13:06 | history | asked | khoefli | CC BY-SA 3.0 |