Timeline for Generalized Hodge Decomposition on Manifolds with Boundary
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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May 28, 2019 at 2:19 | comment | added | Matthias Ludewig | Thanks Igor, that's completely right. | |
May 25, 2019 at 8:19 | comment | added | Igor Khavkine | It should be noted that the argument works as written for first order $Q$. If $Q$ is a differential operator of higher order, then the Green formula (aka integration by parts formula) just preceding $(*)$ needs to be adjusted and the change propagated through to all the orthogonality conditions. | |
Apr 25, 2019 at 7:28 | history | edited | Matthias Ludewig | CC BY-SA 4.0 |
Added an argument
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Apr 24, 2019 at 21:00 | comment | added | Eugene Rabinovich | Thank you for your answer, Matthias! What is the standard argument that shows that $\ker(D)=\ker(Q)\cap \ker(Q^*)$? The only one I can think of uses the formal self-adjointness of $D$, which fails to hold in this case. | |
Apr 24, 2019 at 5:14 | history | edited | Matthias Ludewig | CC BY-SA 4.0 |
deleted 15 characters in body
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Apr 24, 2019 at 4:17 | history | answered | Matthias Ludewig | CC BY-SA 4.0 |